We propose a quantity called modulus fidelity to measure the closeness of two quantum pure states. We use it to investigate the closeness of eigenstates in one-dimensional hard-core bosons. When the system is integrab...We propose a quantity called modulus fidelity to measure the closeness of two quantum pure states. We use it to investigate the closeness of eigenstates in one-dimensional hard-core bosons. When the system is integrable, eigenstates close to their neighbor or not, which leads to a large fluctuation in the distribution of modulus fidelity. When the system becomes chaos, the fluctuation is reduced dramatically, which indicates all eigenstates become close to each other. It is also found that two kind of closeness, i.e., closeness of eigenstates and closeness of eigenvalues, are not correlated at integrability but correlated at chaos. We also propose that the closeness of eigenstates is the underlying mechanism of eigenstate thermalization hypothesis （ETH） which explains the thermalization in quantum many-body systems.展开更多
In the paper, taking the atomic EPR entanglement of quantum teleportation of atomic state in thermal environment damping-density operator approach, and the average fidelities are channel state ｜φ = （1/√2）（｜00）...In the paper, taking the atomic EPR entanglement of quantum teleportation of atomic state in thermal environment damping-density operator approach, and the average fidelities are channel state ｜φ = （1/√2）（｜00） ＋ ｜11〉） is more robust than ｜φ｜ they are subject to the dissipative environments. states as quantum channel, we investigate the fidelity and vacuum reservoir by means of quantum theory of calculated, the results show that the atomic quantum = （1/√2）（｜01〉 ＋ ｜10〉） in teleportation process when they are subject to the dissipative environments.展开更多
In this paper we study the entanglement in a two-qubit spin in the XYZ model, and teleport a two-qubit entangled state using this spin chain in the condition of the thermal equilibrium as a quantum channel. We investi...In this paper we study the entanglement in a two-qubit spin in the XYZ model, and teleport a two-qubit entangled state using this spin chain in the condition of the thermal equilibrium as a quantum channel. We investigate the effects of the interaction of z-component Jz, the inhomogeneous magnetic field b, the anisotropy γ and the temperature T on the entanglement and fidelity. In order to characterize the quality of the teleported state, we research the average fidelity Fα. High average fidelity of the teleportation is obtained when the temperature is very low. Under some condition, we also find that when innomogeneity increases to a certain value, the average fidelity can exhibit a larger revival than that for less values of b.展开更多
Analytical non-perturbative study of the three-dimensional nonlinear stochastic partial differential equation with additive thermal noise, analogous to that proposed by V. N. Nikolaevskii [1] 08D0C9EA79F9BACE118C8200A...Analytical non-perturbative study of the three-dimensional nonlinear stochastic partial differential equation with additive thermal noise, analogous to that proposed by V. N. Nikolaevskii [1] 08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003400310035003200310033003400300034000000 -[5] 08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003400310035003200310033003400300035000000 to describe longitudinal seismic waves, is presented. The equation has a threshold of short-wave instability and symmetry, providing long wave dynamics. New mechanism of quantum chaos generating in nonlinear dynamical systems with infinite number of degrees of freedom is proposed. The hypothesis is said, that physical turbulence could be identified with quantum chaos of considered type. It is shown that the additive thermal noise destabilizes dramatically the ground state of the Nikolaevskii system thus causing it to make a direct transition from a spatially uniform to a turbulent state.展开更多
We study the long-time average of the reduced density matrix(RDM)of a two-level system as the central system,which is locally coupled to a many-body quantum chaotic system as the environment,under an overall Schr?ding...We study the long-time average of the reduced density matrix(RDM)of a two-level system as the central system,which is locally coupled to a many-body quantum chaotic system as the environment,under an overall Schr?dinger evolution.A phenomenological relation among elements of the RDM is proposed for a dissipative interaction in the strong coupling regime and is tested numerically with the environment as a defect Ising chain,as well as a mixed-field Ising chain.展开更多
The thermodynamic influence of quantum probing on an object is studied.Here,quantum probing is understood to be a pre-measurement based on a non-demolition interaction,which records some information of the probed obje...The thermodynamic influence of quantum probing on an object is studied.Here,quantum probing is understood to be a pre-measurement based on a non-demolition interaction,which records some information of the probed object but does not change its energy state when both the probing apparatus and the probed object are isolated from the environment.It is argued that when the probing apparatus and the probed object are immersed in the same equilibrium environment,the probing can affect the effective temperature of the object or induce a quantum isothermal process for the object to transfer its energy.This thermodynamic feature can be regarded as a witness of quantum probing.展开更多
基金supported by the Natural Science Foundation of Zhejiang Province,China(Grant No.LY16A050004)the Fundamental Research Funds for the Central Universities,China(Grant No.2017FZA3005)the National Natural Science Foundation of China(Grant No.11475146)
文摘We propose a quantity called modulus fidelity to measure the closeness of two quantum pure states. We use it to investigate the closeness of eigenstates in one-dimensional hard-core bosons. When the system is integrable, eigenstates close to their neighbor or not, which leads to a large fluctuation in the distribution of modulus fidelity. When the system becomes chaos, the fluctuation is reduced dramatically, which indicates all eigenstates become close to each other. It is also found that two kind of closeness, i.e., closeness of eigenstates and closeness of eigenvalues, are not correlated at integrability but correlated at chaos. We also propose that the closeness of eigenstates is the underlying mechanism of eigenstate thermalization hypothesis （ETH） which explains the thermalization in quantum many-body systems.
基金Supported by the Natural Science Foundation of Hunan Province of China under Grant No.10JJ3088Funds of Hunan Education Bureau under Grant No.10C0616the Key Research Foundation of the Education Bureau of Hunan Province under Grant Nos.10A026 and 08A015
文摘In the paper, taking the atomic EPR entanglement of quantum teleportation of atomic state in thermal environment damping-density operator approach, and the average fidelities are channel state ｜φ = （1/√2）（｜00） ＋ ｜11〉） is more robust than ｜φ｜ they are subject to the dissipative environments. states as quantum channel, we investigate the fidelity and vacuum reservoir by means of quantum theory of calculated, the results show that the atomic quantum = （1/√2）（｜01〉 ＋ ｜10〉） in teleportation process when they are subject to the dissipative environments.
基金the Special Research Foundation for the Doctoral Program of Higher Education under Grant No.20050285002the Natural Science Foundation of Jiangsu Province under Grant No.04KJB140119
文摘In this paper we study the entanglement in a two-qubit spin in the XYZ model, and teleport a two-qubit entangled state using this spin chain in the condition of the thermal equilibrium as a quantum channel. We investigate the effects of the interaction of z-component Jz, the inhomogeneous magnetic field b, the anisotropy γ and the temperature T on the entanglement and fidelity. In order to characterize the quality of the teleported state, we research the average fidelity Fα. High average fidelity of the teleportation is obtained when the temperature is very low. Under some condition, we also find that when innomogeneity increases to a certain value, the average fidelity can exhibit a larger revival than that for less values of b.
文摘Analytical non-perturbative study of the three-dimensional nonlinear stochastic partial differential equation with additive thermal noise, analogous to that proposed by V. N. Nikolaevskii [1] 08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003400310035003200310033003400300034000000 -[5] 08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003400310035003200310033003400300035000000 to describe longitudinal seismic waves, is presented. The equation has a threshold of short-wave instability and symmetry, providing long wave dynamics. New mechanism of quantum chaos generating in nonlinear dynamical systems with infinite number of degrees of freedom is proposed. The hypothesis is said, that physical turbulence could be identified with quantum chaos of considered type. It is shown that the additive thermal noise destabilizes dramatically the ground state of the Nikolaevskii system thus causing it to make a direct transition from a spatially uniform to a turbulent state.
基金the Natural Science Foundation of China under Grant Nos.11275179,11535011 and 11775210the Deutsche Forschungsgemeinschaft(DFG)within the Research Unit FOR 2692 under Grant No.397107022(GE 1657/3-2)
文摘We study the long-time average of the reduced density matrix(RDM)of a two-level system as the central system,which is locally coupled to a many-body quantum chaotic system as the environment,under an overall Schr?dinger evolution.A phenomenological relation among elements of the RDM is proposed for a dissipative interaction in the strong coupling regime and is tested numerically with the environment as a defect Ising chain,as well as a mixed-field Ising chain.
基金supported by the National Natural Science Foundation of China (10874091)National Basic Research Program of China (2006CB921205)
文摘The thermodynamic influence of quantum probing on an object is studied.Here,quantum probing is understood to be a pre-measurement based on a non-demolition interaction,which records some information of the probed object but does not change its energy state when both the probing apparatus and the probed object are isolated from the environment.It is argued that when the probing apparatus and the probed object are immersed in the same equilibrium environment,the probing can affect the effective temperature of the object or induce a quantum isothermal process for the object to transfer its energy.This thermodynamic feature can be regarded as a witness of quantum probing.
