Based on a hybrid system consisting of a quantum dot coupled with a double-sided micropillar cavity, we investigate the implementation of an error-detected photonic quantum routing controlled by the other photon. The ...Based on a hybrid system consisting of a quantum dot coupled with a double-sided micropillar cavity, we investigate the implementation of an error-detected photonic quantum routing controlled by the other photon. The computational errors from unexpected experimental imperfections are heralded by single photon detections, resulting in a unit fidelity for the present scheme, so that this scheme is intrinsically robust. We discuss the performance of the scheme with currently achievable experimental parameters. Our results show that the present scheme is efficient. Furthermore, our scheme could provide a promising building block for quantum networks and distributed quantum information processing in the future.展开更多
We investigate the quantum Fisher information(QFI) dynamics of a dissipative two-level system in homodynemediated quantum feedback control. The analytical results demonstrate that the maximum values and stable values ...We investigate the quantum Fisher information(QFI) dynamics of a dissipative two-level system in homodynemediated quantum feedback control. The analytical results demonstrate that the maximum values and stable values of the QFI can be greatly enhanced via feedback control. The quantum feedback plays a more evident role in the improvement of classical Fisher information. The classical part can reach a high stable value, while the quantum part eventually decays to zero whatever the feedback parameter is.展开更多
We propose schemes to realize robust quantum states transfer between distant resonators using the topological edge states of a one-dimensional circuit quantum electrodynamics(QED)lattice.Analyses show that the distrib...We propose schemes to realize robust quantum states transfer between distant resonators using the topological edge states of a one-dimensional circuit quantum electrodynamics(QED)lattice.Analyses show that the distribution of edge states can be regulated accordingly with the on-site defects added on the resonators.And we can achieve different types of quantum state transfer without adjusting the number of lattices.Numerical simulations demonstrate that the on-site defects can be used as a change-over switch for high-fidelity single-qubit and two-qubit quantum states transfer.This work provides a viable prospect for flexible quantum state transfer in solid-state topological quantum system.展开更多
We investigate the topological phase transition and the enhanced topological effect in a cavity optomechanical system with periodical modulation.By calculating the steady-state equations of the system,the steady-state...We investigate the topological phase transition and the enhanced topological effect in a cavity optomechanical system with periodical modulation.By calculating the steady-state equations of the system,the steady-state conditions of cavity fields and the restricted conditions of effective optomechanical couplings are demonstrated.It is found that the cavity optomechanical system can be modulated to different topological Su–Schrieffer–Heeger(SSH)phases via designing the optomechanical couplings legitimately.Meanwhile,combining the effective optomechanical couplings and the probability distributions of gap states,we reveal the topological phase transition between trivial SSH phase and nontrivial SSH phase via adjusting the decay rates of cavity fields.Moreover,we find that the enhanced topological effect of gap states can be achieved by enlarging the size of system and adjusting the decay rates of cavity fields.展开更多
We propose schemes of direct concurrence measurement for two-qubit phononic states from quantized mechanical vibration. By combining the Mach–Zehnder interferometer with the optomechanical cross-Kerr nonlinear effect...We propose schemes of direct concurrence measurement for two-qubit phononic states from quantized mechanical vibration. By combining the Mach–Zehnder interferometer with the optomechanical cross-Kerr nonlinear effect, direct concurrence measurement schemes for two-qubit phononic entangled states are achieved with the help of photon detection with respect to the output of the interferometer. For different types of entangled states, diversified quantum devices and operations are designed accordingly. The final analysis shows reasonable performance under the current parameter conditions.Our schemes may be useful for potential phonon-based quantum computation and information in the future.展开更多
We propose a scheme to simultaneously achieve nonreciprocal conventional photon blockade(NCPB) and unconventional photon blockade(NUPB) in a spinning resonator coupled to two two-level atoms. We show that, with the un...We propose a scheme to simultaneously achieve nonreciprocal conventional photon blockade(NCPB) and unconventional photon blockade(NUPB) in a spinning resonator coupled to two two-level atoms. We show that, with the unequal frequency detuning of cavity and atoms from the driving laser, the quantum efect of the nonreciprocal photon blockade can be realized based on two regimes under diferent driving strengths. We confirm that, the NUPB results from the quantum destructive interference between distinct pathways when the driving laser is loaded from one side, whereas the destructive interference is broken when the system is driven from the other side. Moreover, the NCPB originates from whether the single excitation resonance condition is satisfied, corresponding to the opposite driving direction in contrast to the former. Besides, we obtain the optimal nonreciprocal results by appropriately choosing the system parameters. Interestingly, the UPB exhibits stronger robustness to thermal noises,and the nonreciprocity still exists up to a high thermal excitation. This work provides an alternative way to achieve nonreciprocal quantum devices based on the nonreciprocal photon blockade, which may help to develop information network processing.展开更多
In this study, we investigate a hybrid system consisting of an atomic ensemble trapped inside a dissipative optomechanical cavity assisted with perturbative oscillator-qubit coupling. Such a system is generally very s...In this study, we investigate a hybrid system consisting of an atomic ensemble trapped inside a dissipative optomechanical cavity assisted with perturbative oscillator-qubit coupling. Such a system is generally very suitable for generating stationary squeezing of the mirror motion in the long-time limit under the unresolved sideband regime. Based on the master equation and covariance matrix approaches, we discuss in detail the respective squeezing effects. We also determine that in both approaches, simplifying the system dynamics with adiabatic elimination of the highly dissipative cavity mode is very effective. In the master equation approach, we find that the squeezing is a resulting effect of the cooling process and is robust against thermal fluctuations of the mechanical mode. In the covariance matrix approach, we can approximately obtain the analytical result of the steady-state mechanical position variance from the reduced dynamical equation. Finally, we compare the two approaches and observe that they are completely equivalent for the stationary dynamics. Moreover, the scheme may be useful for possible ultraprecise quantum measurement that involves mechanical squeezing.展开更多
Previous works for achieving mechanical squeezing focused mainly on the sole squeezing manipulation method.Here we study how to construct strong steady-state mechanical squeezing via the joint effect between Duffing n...Previous works for achieving mechanical squeezing focused mainly on the sole squeezing manipulation method.Here we study how to construct strong steady-state mechanical squeezing via the joint effect between Duffing nonlinearity and parametric pump driving. We find that the 3 d B limit of strong mechanical squeezing can be easily overcome from the joint effect of two different below 3 d B squeezing components induced by Duffing nonlinearity and parametric pump driving, respectively, without the need of any extra technologies, such as quantum measurement or quantum feedback. We first demonstrate that, in the ideal mechanical bath, the joint squeezing effect just is the superposition of the two respective independent squeezing components. The mechanical squeezing constructed by the joint effect is fairly robust against the mechanical thermal noise. Moreover, different from previous mechanical squeezing detection schemes, which need to introduce an additional ancillary cavity mode, the joint mechanical squeezing effect in the present scheme can be directly measured by homodyning the output field of the cavity with an appropriate phase. The joint idea opens up a new approach to construct strong mechanical squeezing and can be generalized to realize other strong macroscopic quantum effects.展开更多
Here, we propose a simple scheme to realize a one-dimensional (1D) modulated Rice-Mele model (RMM) and investigate its topological properties with a 1D circuit quantum electrodynamics (QED) lattice. The system c...Here, we propose a simple scheme to realize a one-dimensional (1D) modulated Rice-Mele model (RMM) and investigate its topological properties with a 1D circuit quantum electrodynamics (QED) lattice. The system can be mapped into a Chern insulator model by introducing a period parameter. Interestingly and surprisingly, we found that the circuit-QED lattice system always exhibits topologically nonttrvial phases if both the nearest-neighbor hopping strength between two resonators and the qubitassisted on-site potentials are alternately changed in the direction of the lattice. The numerical results show that the topological phases can be obtained by introducing an additional modulation parameter and both the edge state and topological invariant can be unambiguously seen with the existence of decay and disorders, even with few resonators in the lattice.展开更多
We propose a scheme to investigate the topological phase transition and the topological state transfer based on the small optomechanical lattice under the realistic parameters regime.We find that the optomechanical la...We propose a scheme to investigate the topological phase transition and the topological state transfer based on the small optomechanical lattice under the realistic parameters regime.We find that the optomechanical lattice can be equivalent to a topologically nontrivial Su-Schrieffer Heeger(SSH)model via designing the effective optomechanical coupling.Especially,the optomechanical lattice experiences the phase transition between topologically nontrivial SSH phase and topologically trivial SSH phase by controlling the decay of the cavity field and the opto mechanical coupling.We stress that the to pological phase transition is mainly induced by the decay of the cavity field,which is counter-intuitive since the dissipation is usually detrimental to the system.Also,we investigate the photonic state transfer between the two cavity fields via the topologically protected edge channel based on the small optomechanical lattice.We find that the quantum st ate transfer assisted by the topological zero energy mode can be achieved via implying the external lasers with the periodical driving amplitudes into the cavity fields.Our scheme provides the fundamental and the insightful explanations towards the mapping of the photonic topological insulator based on the micro-nano optomechanical quantum optical platform.展开更多
We propose a scheme for generating an entangled state for three atoms trapped in separate optical cavities that are coupled to each other through two optical fibers based on coherent driving and dissi- pation, which a...We propose a scheme for generating an entangled state for three atoms trapped in separate optical cavities that are coupled to each other through two optical fibers based on coherent driving and dissi- pation, which are induced by the classical fields and the decay of non-local bosonic modes, respectively. In our scheme, the interaction time need not be controlled strictly in the overall dynamics process, and the cavity field decay can be changed into a vital resource. The numerical simulation shows that the fidelity of the target state is insensitive to atomic spontaneous emission, and our scheme is good enough to generate the W state of distant atoms with a high fidelity and purity. In addition, the present scheme can also be generalized to prepare the N-partite W state of distant atoms.展开更多
We study the generation of quadruple-transparency windows and the implementation of a conversion between slow and fast light in a hybrid optomechanical system. By demonstrating the generation of these transparency win...We study the generation of quadruple-transparency windows and the implementation of a conversion between slow and fast light in a hybrid optomechanical system. By demonstrating the generation of these transparency windows one by one, we analyze the physical mechanism through which each transparency window forms in detail. Additionally, we discuss how the system parameters affect the formation of transparency windows and conclude that the location, width, and absorption of each transparency window can be arbitrarily manipulated by varying the appropriate parameters. Moreover, when the pump field is changed from red to blue detuning, conversions between slow and fast light occur in the output field. These interesting properties of the output field can be applied to achieve the coherent control and manipulation of light pulses using cavity optomechanical system.展开更多
We explore some interesting phenomena in a simple non-Hermitian ladder system.Special modes with energy eigenvalues closely related to the inter-chain-coupling strength appear in the non-Hermitian ladder system.We sho...We explore some interesting phenomena in a simple non-Hermitian ladder system.Special modes with energy eigenvalues closely related to the inter-chain-coupling strength appear in the non-Hermitian ladder system.We show that a phase transition occurs whereby special modes with pure real eigenvalues can switch to special modes with pure imaginary eigenvalues,when the inter-chain-coupling strength changes from symmetric to asymmetric.We find that the density profiles of all the special modes are completely identical under certain conditions,even if the inter-chain-coupling strength is added into the non-Hermitian ladder system in different ways.Moreover,we also demonstrate that the different inter-chain couplings are fundamentally equivalent to adding different on-site potential energies into the non-Hermitian ladder system.展开更多
We propose to realize the ground state cooling of magnomechanical resonator in a parity-time(PT).symmetric cavity magnomechanical system composed of a loss ferromagnetic sphere and a gain microwave cavity.In the schem...We propose to realize the ground state cooling of magnomechanical resonator in a parity-time(PT).symmetric cavity magnomechanical system composed of a loss ferromagnetic sphere and a gain microwave cavity.In the scheme,the magnomechanical resonator can be cooled close to its ground state via the magnomechanical interaction,and it is found that the cooling effect in PT-symmetric system is much higher than that in non-PT-symmetric system.Resorting to the magnetic force noise spectrum,we investigate the final mean phonon number with experimentally feasible parameters and find surprisingly that the ground state cooling of magnomechanical resonator can be directly achieved at room temperature.Furthermore,we also illustrate that the ground state cooling can be flexibly controlled via the external magnetic field.展开更多
基金Project supported by the Scientific Research Foundation of Shanxi Institute of Technology(Grant No.201706001)the Fund for Shanxi "1331 Project" Key Subjects Construction+2 种基金the China Postdoctoral Science Foundation(Grant No.2017M612411)the Education Department Foundation of Henan Province,China(Grant No.18A140009)the National Natural Science Foundation of China(Grant Nos.61821280,11604190,and 61465013)
文摘Based on a hybrid system consisting of a quantum dot coupled with a double-sided micropillar cavity, we investigate the implementation of an error-detected photonic quantum routing controlled by the other photon. The computational errors from unexpected experimental imperfections are heralded by single photon detections, resulting in a unit fidelity for the present scheme, so that this scheme is intrinsically robust. We discuss the performance of the scheme with currently achievable experimental parameters. Our results show that the present scheme is efficient. Furthermore, our scheme could provide a promising building block for quantum networks and distributed quantum information processing in the future.
基金Supported by the National Natural Science Foundation of China under Grant No 11874004the Young Foundation of Science and Technology Department of Jilin Province under Grant No 20170520109JHthe Science Foundation of the Education Department of Jilin Province under Grant No 2016286
文摘We investigate the quantum Fisher information(QFI) dynamics of a dissipative two-level system in homodynemediated quantum feedback control. The analytical results demonstrate that the maximum values and stable values of the QFI can be greatly enhanced via feedback control. The quantum feedback plays a more evident role in the improvement of classical Fisher information. The classical part can reach a high stable value, while the quantum part eventually decays to zero whatever the feedback parameter is.
基金supported by the National Natural Science Foundation of China(Grant Nos.61801280,61805134,and 61822114)the Applied Fundamental Research Projects of Shanxi Province,China(Grant No.201801D221015)Science and Technology Innovation Project of Shanxi Normal University(Grant No.2020XSY032)。
文摘We propose schemes to realize robust quantum states transfer between distant resonators using the topological edge states of a one-dimensional circuit quantum electrodynamics(QED)lattice.Analyses show that the distribution of edge states can be regulated accordingly with the on-site defects added on the resonators.And we can achieve different types of quantum state transfer without adjusting the number of lattices.Numerical simulations demonstrate that the on-site defects can be used as a change-over switch for high-fidelity single-qubit and two-qubit quantum states transfer.This work provides a viable prospect for flexible quantum state transfer in solid-state topological quantum system.
基金the National Natural Science Foundation of China(Grant Nos.61822114,12074330,and 62071412)。
文摘We investigate the topological phase transition and the enhanced topological effect in a cavity optomechanical system with periodical modulation.By calculating the steady-state equations of the system,the steady-state conditions of cavity fields and the restricted conditions of effective optomechanical couplings are demonstrated.It is found that the cavity optomechanical system can be modulated to different topological Su–Schrieffer–Heeger(SSH)phases via designing the optomechanical couplings legitimately.Meanwhile,combining the effective optomechanical couplings and the probability distributions of gap states,we reveal the topological phase transition between trivial SSH phase and nontrivial SSH phase via adjusting the decay rates of cavity fields.Moreover,we find that the enhanced topological effect of gap states can be achieved by enlarging the size of system and adjusting the decay rates of cavity fields.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.61801280,11604190,11747096,11804308,and 61465013)the Science and Technologial Innovation Programs of Higher Education Institutions in Shanxi Province,China(Grant Nos.2019L0988 and 2019L0043)+1 种基金the Fund for Shanxi“1331 Project”Key Subjects Construction(Grant No.2019XF-04)the Applied Fundamental Research Project of Yangquan(Grant No.2019G24)。
文摘We propose schemes of direct concurrence measurement for two-qubit phononic states from quantized mechanical vibration. By combining the Mach–Zehnder interferometer with the optomechanical cross-Kerr nonlinear effect, direct concurrence measurement schemes for two-qubit phononic entangled states are achieved with the help of photon detection with respect to the output of the interferometer. For different types of entangled states, diversified quantum devices and operations are designed accordingly. The final analysis shows reasonable performance under the current parameter conditions.Our schemes may be useful for potential phonon-based quantum computation and information in the future.
基金supported by the National Natural Science Foundation of China (Grant Nos. 12074330, 62071412, and 12074094)。
文摘We propose a scheme to simultaneously achieve nonreciprocal conventional photon blockade(NCPB) and unconventional photon blockade(NUPB) in a spinning resonator coupled to two two-level atoms. We show that, with the unequal frequency detuning of cavity and atoms from the driving laser, the quantum efect of the nonreciprocal photon blockade can be realized based on two regimes under diferent driving strengths. We confirm that, the NUPB results from the quantum destructive interference between distinct pathways when the driving laser is loaded from one side, whereas the destructive interference is broken when the system is driven from the other side. Moreover, the NCPB originates from whether the single excitation resonance condition is satisfied, corresponding to the opposite driving direction in contrast to the former. Besides, we obtain the optimal nonreciprocal results by appropriately choosing the system parameters. Interestingly, the UPB exhibits stronger robustness to thermal noises,and the nonreciprocity still exists up to a high thermal excitation. This work provides an alternative way to achieve nonreciprocal quantum devices based on the nonreciprocal photon blockade, which may help to develop information network processing.
基金supported by the National Natural Science Foundation of China(Grant Nos.61822114,11465020,and 61465013)the Project of Jilin Science and Technology Development for Leading Talent of Sciencethe Technology Innovation in Middle and Young and Team Project(Grant No.20160519022JH)
文摘In this study, we investigate a hybrid system consisting of an atomic ensemble trapped inside a dissipative optomechanical cavity assisted with perturbative oscillator-qubit coupling. Such a system is generally very suitable for generating stationary squeezing of the mirror motion in the long-time limit under the unresolved sideband regime. Based on the master equation and covariance matrix approaches, we discuss in detail the respective squeezing effects. We also determine that in both approaches, simplifying the system dynamics with adiabatic elimination of the highly dissipative cavity mode is very effective. In the master equation approach, we find that the squeezing is a resulting effect of the cooling process and is robust against thermal fluctuations of the mechanical mode. In the covariance matrix approach, we can approximately obtain the analytical result of the steady-state mechanical position variance from the reduced dynamical equation. Finally, we compare the two approaches and observe that they are completely equivalent for the stationary dynamics. Moreover, the scheme may be useful for possible ultraprecise quantum measurement that involves mechanical squeezing.
基金National Natural Science Foundation of China(61822114,61575055,11465020,61465013)Project of Jilin Science and Technology Development for Leading Talent of Science and Technology Innovation in Middle and Young and Team Project(20160519022JH)
文摘Previous works for achieving mechanical squeezing focused mainly on the sole squeezing manipulation method.Here we study how to construct strong steady-state mechanical squeezing via the joint effect between Duffing nonlinearity and parametric pump driving. We find that the 3 d B limit of strong mechanical squeezing can be easily overcome from the joint effect of two different below 3 d B squeezing components induced by Duffing nonlinearity and parametric pump driving, respectively, without the need of any extra technologies, such as quantum measurement or quantum feedback. We first demonstrate that, in the ideal mechanical bath, the joint squeezing effect just is the superposition of the two respective independent squeezing components. The mechanical squeezing constructed by the joint effect is fairly robust against the mechanical thermal noise. Moreover, different from previous mechanical squeezing detection schemes, which need to introduce an additional ancillary cavity mode, the joint mechanical squeezing effect in the present scheme can be directly measured by homodyning the output field of the cavity with an appropriate phase. The joint idea opens up a new approach to construct strong mechanical squeezing and can be generalized to realize other strong macroscopic quantum effects.
基金supported by the National Natural Science Foundation of China(Grant Nos.11465020,11264042,61465013,and 11564041)the Project of Jilin Science and Technology Development for Leading Talent of Science and Technology Innovation in Middle and Young and Team Project(Grant No.20160519022JH)
文摘Here, we propose a simple scheme to realize a one-dimensional (1D) modulated Rice-Mele model (RMM) and investigate its topological properties with a 1D circuit quantum electrodynamics (QED) lattice. The system can be mapped into a Chern insulator model by introducing a period parameter. Interestingly and surprisingly, we found that the circuit-QED lattice system always exhibits topologically nonttrvial phases if both the nearest-neighbor hopping strength between two resonators and the qubitassisted on-site potentials are alternately changed in the direction of the lattice. The numerical results show that the topological phases can be obtained by introducing an additional modulation parameter and both the edge state and topological invariant can be unambiguously seen with the existence of decay and disorders, even with few resonators in the lattice.
基金supported by the National Natural Science Foundation of China under Grant Nos.61822114,11874132,61575055,11575048.
文摘We propose a scheme to investigate the topological phase transition and the topological state transfer based on the small optomechanical lattice under the realistic parameters regime.We find that the optomechanical lattice can be equivalent to a topologically nontrivial Su-Schrieffer Heeger(SSH)model via designing the effective optomechanical coupling.Especially,the optomechanical lattice experiences the phase transition between topologically nontrivial SSH phase and topologically trivial SSH phase by controlling the decay of the cavity field and the opto mechanical coupling.We stress that the to pological phase transition is mainly induced by the decay of the cavity field,which is counter-intuitive since the dissipation is usually detrimental to the system.Also,we investigate the photonic state transfer between the two cavity fields via the topologically protected edge channel based on the small optomechanical lattice.We find that the quantum st ate transfer assisted by the topological zero energy mode can be achieved via implying the external lasers with the periodical driving amplitudes into the cavity fields.Our scheme provides the fundamental and the insightful explanations towards the mapping of the photonic topological insulator based on the micro-nano optomechanical quantum optical platform.
基金This work was supported by the National Natural Science Foundation of China under Grant Nos. 11564041, 11747096, 11165015, 11264042, 11465020, and 61465013 the Project of Jilin Science and Technology Development for Lead- ing Talent of Science and Technology Innovation in Middle and Young and Team Project under Grant No. 20160519022JH+1 种基金 China Postdoctoral Science Foundation under Grant Nos. 2017M612411, 2018Tl10735 the Education Department Foundation of Henan Province under Grant No. 18A140009.
文摘We propose a scheme for generating an entangled state for three atoms trapped in separate optical cavities that are coupled to each other through two optical fibers based on coherent driving and dissi- pation, which are induced by the classical fields and the decay of non-local bosonic modes, respectively. In our scheme, the interaction time need not be controlled strictly in the overall dynamics process, and the cavity field decay can be changed into a vital resource. The numerical simulation shows that the fidelity of the target state is insensitive to atomic spontaneous emission, and our scheme is good enough to generate the W state of distant atoms with a high fidelity and purity. In addition, the present scheme can also be generalized to prepare the N-partite W state of distant atoms.
基金supported by the National Natural Science Foundation of China(Grant Nos.61822114,11465020,61465013,and 11264042)the Project of Jilin Science and Technology Development for Leading Talent of Science and Technology Innovation in Middle and Young and Team Project(Grant No.20160519022JH)
文摘We study the generation of quadruple-transparency windows and the implementation of a conversion between slow and fast light in a hybrid optomechanical system. By demonstrating the generation of these transparency windows one by one, we analyze the physical mechanism through which each transparency window forms in detail. Additionally, we discuss how the system parameters affect the formation of transparency windows and conclude that the location, width, and absorption of each transparency window can be arbitrarily manipulated by varying the appropriate parameters. Moreover, when the pump field is changed from red to blue detuning, conversions between slow and fast light occur in the output field. These interesting properties of the output field can be applied to achieve the coherent control and manipulation of light pulses using cavity optomechanical system.
文摘We explore some interesting phenomena in a simple non-Hermitian ladder system.Special modes with energy eigenvalues closely related to the inter-chain-coupling strength appear in the non-Hermitian ladder system.We show that a phase transition occurs whereby special modes with pure real eigenvalues can switch to special modes with pure imaginary eigenvalues,when the inter-chain-coupling strength changes from symmetric to asymmetric.We find that the density profiles of all the special modes are completely identical under certain conditions,even if the inter-chain-coupling strength is added into the non-Hermitian ladder system in different ways.Moreover,we also demonstrate that the different inter-chain couplings are fundamentally equivalent to adding different on-site potential energies into the non-Hermitian ladder system.
基金the National Natural Science Foundation of China under Grant No.61822114.
文摘We propose to realize the ground state cooling of magnomechanical resonator in a parity-time(PT).symmetric cavity magnomechanical system composed of a loss ferromagnetic sphere and a gain microwave cavity.In the scheme,the magnomechanical resonator can be cooled close to its ground state via the magnomechanical interaction,and it is found that the cooling effect in PT-symmetric system is much higher than that in non-PT-symmetric system.Resorting to the magnetic force noise spectrum,we investigate the final mean phonon number with experimentally feasible parameters and find surprisingly that the ground state cooling of magnomechanical resonator can be directly achieved at room temperature.Furthermore,we also illustrate that the ground state cooling can be flexibly controlled via the external magnetic field.