It is pointed out that the quantum mechanical Hamiltonian of two L-C circuits with mutual-inductance is equivalent to a pair of harmonic oscillators with a kinetic coupling term.We then diagonalize the Hamiltonian.It ...It is pointed out that the quantum mechanical Hamiltonian of two L-C circuits with mutual-inductance is equivalent to a pair of harmonic oscillators with a kinetic coupling term.We then diagonalize the Hamiltonian.It is shown that instantaneously switching on the external sources may result in a two-mode squeezed state of the system,which actually arises from the effect of mutual-inductance.The quantum fluctuation for the case of l_(1)c_(1)=l_(2)c_(2 ) is analysed and it is found that the current fluctuation in the circuits increases with the increment of the mutual-inductance.展开更多
The method of path integral is employed to calculate the time evolution of the eigenstates of a charged particle under the Fock-Darwin(FD) Hamiltonian subjected to a time-dependent electric field in the plane of the s...The method of path integral is employed to calculate the time evolution of the eigenstates of a charged particle under the Fock-Darwin(FD) Hamiltonian subjected to a time-dependent electric field in the plane of the system.An exact analytical expression is established for the evolution of the eigenstates.This result then provides a general solution to the time-dependent Schro¨dinger equation.展开更多
We investigate the time evolution of the wave function for a many-particle system in an external harmonic potential and a spatially homogeneous time-dependent driving field.The time-dependent wave function is found to...We investigate the time evolution of the wave function for a many-particle system in an external harmonic potential and a spatially homogeneous time-dependent driving field.The time-dependent wave function is found to be a phase factor times the shifted initial state wave function.This then provides a new proof of the harmonic-potential theorem.展开更多
The propagator for an anisotropic two-dimension charged harmonic oscillator in the presence of a constant external magnetic field and a time-dependent electric field is exactly evaluated.Various special cases appearin...The propagator for an anisotropic two-dimension charged harmonic oscillator in the presence of a constant external magnetic field and a time-dependent electric field is exactly evaluated.Various special cases appearing in the literature can be obtained by properly setting the values of the parameters in our results.展开更多
A kind of two-parameter correlated negative binomial state is constructed and analysed from the point of view of quantum optics theory in two-mode Fock space.By choosing a suitable two-mode correlated Holstein-Primako...A kind of two-parameter correlated negative binomial state is constructed and analysed from the point of view of quantum optics theory in two-mode Fock space.By choosing a suitable two-mode correlated Holstein-Primakoff-analogue transformation,the state can be identified as a type of correlated SU(1,1)coherent state.The possible-physical uses of the state are also pointed out.展开更多
In dealing with the one-dimensional lattice model,we replace the traditionally needed Born-Von-Karmann periodic boundary condition with two additional Hamiltonian terms to make up a ring-lattice.In so doing,a unitary ...In dealing with the one-dimensional lattice model,we replace the traditionally needed Born-Von-Karmann periodic boundary condition with two additional Hamiltonian terms to make up a ring-lattice.In so doing,a unitary phase operator and the corresponding Hermite phase angle operator can be introduced as those in quantum optics theory.The new Hamiltonian is invariant under the phase shift transformation.Moreover,the lattice Green’s function in the p-th nearest interaction approximation can also be easily derived from the new Hamiltonian.which becomes the well-known lattice Green’s function when the ring is infinite.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.19574045。
文摘It is pointed out that the quantum mechanical Hamiltonian of two L-C circuits with mutual-inductance is equivalent to a pair of harmonic oscillators with a kinetic coupling term.We then diagonalize the Hamiltonian.It is shown that instantaneously switching on the external sources may result in a two-mode squeezed state of the system,which actually arises from the effect of mutual-inductance.The quantum fluctuation for the case of l_(1)c_(1)=l_(2)c_(2 ) is analysed and it is found that the current fluctuation in the circuits increases with the increment of the mutual-inductance.
基金Supported by the National Natural Science Foundation of China under Grant No. 10805029Zhejiang Natural Science Foundation underGrant No. R6090717the K.C. Wong Magna Foundation of Ningbo University
文摘The method of path integral is employed to calculate the time evolution of the eigenstates of a charged particle under the Fock-Darwin(FD) Hamiltonian subjected to a time-dependent electric field in the plane of the system.An exact analytical expression is established for the evolution of the eigenstates.This result then provides a general solution to the time-dependent Schro¨dinger equation.
基金Supported by the National Natural Science Foundation of China under Grant No 11275100the Natural Science Foundation of Zhejiang Province under Grant No R6090717the K C.Wong Magna Foundation of Ningbo University.
文摘We investigate the time evolution of the wave function for a many-particle system in an external harmonic potential and a spatially homogeneous time-dependent driving field.The time-dependent wave function is found to be a phase factor times the shifted initial state wave function.This then provides a new proof of the harmonic-potential theorem.
基金Supported by the National Natural Science Foundation of China under Grant No 10805029the Natural Science Foundation of Zhejiang Province under Grant No R6090717the K.C.Wong Magna Foundation of Ningbo University.
文摘The propagator for an anisotropic two-dimension charged harmonic oscillator in the presence of a constant external magnetic field and a time-dependent electric field is exactly evaluated.Various special cases appearing in the literature can be obtained by properly setting the values of the parameters in our results.
基金Supported by the National Natural Science Foundation of China under Grant No.19574045。
文摘A kind of two-parameter correlated negative binomial state is constructed and analysed from the point of view of quantum optics theory in two-mode Fock space.By choosing a suitable two-mode correlated Holstein-Primakoff-analogue transformation,the state can be identified as a type of correlated SU(1,1)coherent state.The possible-physical uses of the state are also pointed out.
基金Supported by the State Eduaction Commitee of China。
文摘In dealing with the one-dimensional lattice model,we replace the traditionally needed Born-Von-Karmann periodic boundary condition with two additional Hamiltonian terms to make up a ring-lattice.In so doing,a unitary phase operator and the corresponding Hermite phase angle operator can be introduced as those in quantum optics theory.The new Hamiltonian is invariant under the phase shift transformation.Moreover,the lattice Green’s function in the p-th nearest interaction approximation can also be easily derived from the new Hamiltonian.which becomes the well-known lattice Green’s function when the ring is infinite.
