角动量系统在外加旋转磁场下的非绝热Berry相

利用 Mathematica软件求解了角动量 l=1的系统在强外加旋转磁场下的含时间 Schr dinger方程 ,得出了非绝热条件下的精确解 ,给出了任意初始态在非绝热条件下成为周期态的条件。比较绝热条件下瞬时态的 Berry相和非绝热过程的 Aharonov- Anandan相因子 ,发现在磁场缓慢旋转的极限下二者趋于一致。还利用算符分解方法给出了任意大l的量系统的解的形式 ,并对 l=1的情况得出了与 Mathe-matica精确解法同样的结果 ,从另一个角度给出了非绝热Berry相。

含时电磁场下具有含时平方反比项的谐振子系统

研究了含时电磁场下具有含时平方反比项的二维谐振子系统,运用幺正变换及Lewis-Riesenfeld不变量算符的方法求解了体系的精确波函数。在系统随时间周期变化的情况下,分析讨论了系统的非绝热Berry相。

Nonadiabatic Phase and Persistent Currents for System of Spin-1／2 Particles in Presenceof Electromagnetic Fields and Spin-Orbit Interaction

We present a comprehensive view and details of calculations on Aharonov-Anandan phase for the charged particles in the external electric and magnetic fields for a nonadiabatic process.We derive,with consideration of a spin-orbit interaction and Zeemann Splitting,the persistent currents as a response to an Aharonov-Casher topological interference effect in one-dimensional mesoscopic ring.We also establish a connection to Berry adiabatic phase with deduced dynamical-nature dependence in the nonadiabatic process.The second quantization representation has also been employed in exhibition of persistent currents in the many-body case.

New Energy-Based Decoherence Correction Approaches for Trajectory Surface Hopping

Inspired by the branching corrected surface hopping(BCSH)method[J.Xu and L.Wang,J.Chem.Phys.150,164101(2019)],we present two new decoherence time formulas for trajectory surface hopping.Both the proposed linear and exponential formulas characterize the decoherence time as functions of the energy difference between adiabatic states and correctly capture the decoherence effect due to wave packet reflection as predicted by BCSH.The relevant parameters are trained in a series of 200 diverse models with different initial nuclear momenta,and the exact quantum solutions are utilized as references.As demonstrated in the three standard Tully models,the two new approaches exhibit significantly higher reliability than the widely used counterpart algorithm while holding the appealing efficiency,thus promising for nonadiabatic dynamics simulations of general systems.

Pancharatnam Phase of a Mesoscopic Coupled Circuit

We derive a formula of the nonadiabatic noncyclic Pancharatnam phase for a mesoscopic circuit with coupled inductors and capacitors. It shows that, because of coupling effect, the circuit is in squeezed quantum state initially, and the time evolution of Pancharatnam phase exhibits an oscillation in a complex way. Especially we find that when the capacity of the coupled capacitors is larger than that of other ones in the circuit, with the variation of time Pancharatnam phase becomes nearly periodic square-wave, which perhaps can provide a new approach for the realization of quantum logic gate.

Remark on Relations Between Different Non-integrable Phases

There are three non-integrable phases in literatures: Berry phase, Aharonov-Anandan phase, and Yang phase. This article discusses the definitions and relations between these three non-integrable phases.

Impacts of uncertain cloud-related parameters on Pacific Walker circulation simulation in GAMIL2

To investigate the impacts of uncertain parameters on simulated Pacific Walker circulation （PWC）, a large number of perturbed parameter simulations are conducted using GAMIL2 （the Grid-point Atmospheric Model of IAP/LASG, version 2）, and three different PWC indices are selected.The results show that the influences of some parameters on PWC are dependent on the selected index - a finding supported by the inconsistent responses of different indexes to these parameters. Among the nine parameters, the RH threshold for deep convection （RHCRIT） is the most sensitive in simulating PWC. Increased RHCRIT weakens deep convective heating and stratiform cooling, and strengthens shallow convective heating. Further analysis reveals that uncertain parameters affect the simulated PWC through changing the diabatic heating and vertical motion.

Oscillation propagation features of the atmosphere around the Qinghai-Xizang Plateau during the spring season of typical strong and weak monsoon years

The interaction between the low-frequency atmospheric oscillation(Madden-Julian Oscillation,MJO) and the diabatic heating over the Qinghai-Xizang Plateau(QXP) from March to June is analyzed.The results show that there are respectively two and one wave trains around the QXP during the onset of the South China Sea monsoon in strong and weak monsoon years.The locations and strength of the wave train propagation differ between the strong and weak monsoon years.Because diabatic heating of the QXP prevents the low-frequency oscillation,the wave train of interaction between the diabatic heating and the zonal wind MJO propagates along the west and east of the QXP in the strong monsoon years.The distribution of the wave train interaction between the diabatic heating and the zonal wind MJO traverses the QXP and coincides with the location of the southern and northern upper-level jet streams,showing that they are remarkably correlated.An interesting and notable phenomenon is that the interaction between diabatic heating and the zonal wind MJO over the QXP suddenly disappears during the monsoon onset in weak monsoon years.

Adiabatic and Non-Adiabatic Berry Phases in Generalized J-C Model of Multi-Photon Process

We derive the adiabatic and non-adiabatic Berry phases in the generalized Jaynes-Cummings model of multi-photon process. The results show that the adiabatic Berry phase is kept a constant π independent of all the parameters, while the non-adiabatic approximate Berry phase is parameter-dependent, proportional to the average photon number m, and tends to be constant with the increasing detuning. In the ease of exact n-photon resonance and an integer ratio of m/n, the two results coincide with each other, otherwise there appears an additional non-trivial phase factor.