电子在周期驱动耦合量子阱中的振荡

通过精确求解含时的量子体系，研究了在周期耦合驱动下电子在两量子阱中的受迫振荡.电 子在双量子阱间的隧穿可由周期性外场控制.得到了电子被囚禁在单一量子阱中的条件. 关键词： 量子阱 受迫振荡 周期驱动     

周期量子系统中状态演化的Bloch定理和一种新的量子相位

在具有周期Hamilton量的量子系统中,含时Schrodinger方程存在相对于时间坐标的Bloch函数形式的解,它们构成解空间的正交归一基.据此可以定义一种新的量子相位.称为Bloch相位.这种相位是特殊的Aharonov-Anandan相位,并当瞬时本征能的简并度不随时间变化时,在绝热近似下化作Berry相位.对上述一般结论不仅做了论证,并以在匀角速旋进的磁场中的自旋磁矩为例作了具体计算.     

纠缠度对双光子Jaynes-Cumming模型的光学效应的影响

研究了一对纠缠的二能级原子之一与单模双光子腔场的相互作用，当该原子离开腔被选择性测量时，发现场态的非经典特性很大程度上取决于两原子间的纠缠度。同时发现通过对原子的选择性测量，场的压缩特性和光子的反聚束效应会增强。 关键词： 纠缠度 Jaynes-Cumming模型 压缩效应 光子反聚束效应     

Quantum phases of Bose gases on a lattice with pair-tunneling

We investigate the strongly interacting lattice Bose gases on a lattice with two-body interaction of nearest neighbors characterized by pair tunneling.The excitation spectrum and the depletion of the condensate of lattice Bose gases are investigated using the Bogoliubov transformation method and the results show that there is a pair condensate as well as a single particle condensate.The various possible quantum phases,such as the Mott-insulator phase(MI),the superfluid phase(SF) of an individual atom,the charge density wave phase(CDW),the supersolid phase(SS),the pair-superfluid(PSF) phase,and the pair-supersolid phase(PSS) are discussed in different parametric regions within our extended Bose-Hubbard model using perturbation theory.     

Shot noise of the spin inelastic tunneling through a quantum dot with single molecule-magnet

We have studied the quantum fluctuations of inelastic spin-electron scattering in quantum dot with an embedded biaxial single molecule-magnet and particularly investigated the zero-frequency shot noise and Fano factor in different magnetic fields. It is found that the shot noise and Fano factor exhibit a stepwise behaviour as bias increases in the presence of interaction between the electron and molecule-magnet for a weak magnetic field. As magnetic field becomes strong, a dip is displayed in the shot-noise-bias curve due to the suppression of inelastic shot noise caused by the quantum tunneling of magnetisation. Because of the spontaneous inelastic tunneling at zero bias, a small shot noise occurs, which results in the case of Fano factor F >> 1. Moreover, our results show that the sweeping speed can also influence the shot noise and Fano factor obviously.     

光格子中玻色-爱因斯坦凝聚体的超流相

本文采用Bogliubov方法分析了光格子中玻色-爱因斯坦凝聚体的能谱,得到超流-Mott相变条件,指出光格子中BEC是一种典型的超流态,最后给出了超流速度.     

Best approximation by downward sets with applications

We develop a theory of downward sets for a class of normed ordered spaces. We study best approximation in a normed ordered space X by elements of downward sets, and give necessary and sufficient conditions for any element of best approximation by a closed downward subset of X. We also characterize strictly downward subsets of X, and prove that a downward subset of X is strictly downward if and only if each its boundary point is Chebyshev. The results obtained are used for examination of some Chebyshev pairs （W,x）, where ∈ X and W is a closed downward subset of X     

A Possible Explanation to Paradox in Horse Spleen Ferritins

There are contradicting opinions about the tunnelling experiments in horse-spleen ferritin particles.By distinguish the coherent and incoherent tunnelling processes,we give a unified explanation to different experiments.As a rsult,a possible explanation to the paradox is proposed.     

On sum and quotient of quasi-Chebyshev subspaces in Banach spaces

It will be determined under what conditions types of proximinality are transmitted to and from quotient spaces.In the final section,by many examples we show that types of proximinality of subspaces in Banach spaces can not be preserved by equivalent norms.     

Electron resonance-transmission through a driven quantum well with spin--orbit coupling

We have studied the spin-dependent electron transmission through a quantum well driven by both dipole-type and homogeneous oscillating fields. The numerical evaluations show that Dresselhaus spin-orbit coupling induces the splitting of asymmetric Fano-type resonance peaks in the conductivity, in which the dipole modulation and the homogeneous modulation are equivalent. Therefore, we predict that the dipole-type oscillation, which is more practical in the experimental setup, can be used to realize the tunable spin filters by adjusting the field oscillation-frequency and the amplitude as well.