强光场下非共振双光子跃迁相干控制

利用飞秒激光脉冲相位整形技术,从理论和实验两方面,对强激光场下分子体系苝溶液中非共振双光子跃迁的相干控制进行了研究。通过对飞秒激光脉冲进行相位扫描和余弦相位调制,发现分子体系中非共振双光子的跃迁几率能够被削弱,但不能完全消除。分子体系中非共振双光子跃迁的相干控制受到激光光场的形状和分子吸收谱谱宽的影响;与原子体系相比,分子体系中非共振双光子跃迁相干控制的调制效率降低。     

Non-integer Quantum Transition, a True Non-perturbation Effect in Laser-Atom Interaction

We show that in the quantum transition of an atom interacting with an intense laser of circular frequency ω, the energy difference between the initial and the final states of the atom is not necessarily an integer multiple of the quantum energy hω. This kind of non-integer transition is a true non-perturbation effect in laser-atom interaction.     

玻色-爱因斯坦凝聚体Rosen-Zener跃迁中的多体量子涨落效应

研究了处于对称双势阱中玻色一爱因斯坦凝聚体Rosen—Zener跃迁过程的多体量子涨落效应,分析了末态平均布居数差与扫描周期的关系．线性情况下,得到了末态平均布居数差关于扫描周期的解析表达式,该结果与平均场下的结果完全一致,并利用数值方法进行了验证．非线性情况下,通过数值计算发现,快速扫描时末态平均布居数差与平均场情况下的结果符合比较好;然而绝热扫描时与平均场情况却有着很大的不同：末态平均布居数差随扫描周期的变化不再是平均场情况下的方波形式而是类似于正弦型的振荡,而且振荡周期会随着粒子数Ⅳ以及非线性参数c的增加而增大．     

Penning阱中的量子跃迁

对极低温下囚禁在Ｐｅｎｎｉｎｇ阱中的单个离子在受到外部扰动时出现的不稳定现象作了量子处理。首先，求解了系统的薛定谔方程，并根据所得的波函数性质，得出了阱内的量子跃迁规则，然后，在此规则下，定量描述了离子在受到扰动后的不稳定表现。     

半导体量子点中极化子的跃迁能量

研究了半导体量子点中极化子的激发态性质。采用Huybrechts线性组合算符和幺正变换方法,计算了量子点中极化子的振动频率、基态能量、第一激发态能量、由第一激发态向基态的跃迁能量和跃迁频率。分别讨论了电子-LO声子在强弱两种耦合情况下极化子的跃迁能量和跃迁频率。数值计算结果表明,跃迁能量ΔE和跃迁频率ω均随量子点有效受限长度l₀的增加而减少,且随电子-声子耦合强度α的增加而减少。     

关于量子跃迁的讨论

在一级近似下，讨论了简并连续谱的量子跃迁，指出其微扰矩阵元和态密度与简并量子数有关。     

Berry几何相与量子跃迁

针对Berry几何相的出现所关联的量子能级,微弱变化跃迁的物理背景条件进行分析研究;对严格产生(获得)Berry几何相与这种微弱变化跃迁之间的内在关系作进一步探讨.结果表明:Berry几何相的严格产生都是由系统在演变过程中所出现的量子能级微弱变化跃迁的绝热极限效应所必然导致的结果.     

含时微扰Schrdinger方程的精确求解与量子跃迁

在有关量子跃迁的问题中,含时微扰理论给出了跃迁概率振幅的一级近似解.本文通过计算指出,若微扰只与时间有关,则体系的波函数可以精确求解,从而得到跃迁概率振幅的精确表达式.     

利用受激Raman跃迁制备的原子激光的相干性

研究了利用原子玻色-爱因斯坦凝聚体与制备的原子激光的二阶相干性质. 结果表明,这种原子激光是反聚束的,在一定条件下,是二阶相干的.     

利用受激Raman跃迁制备的原子激光的相干性

研究了利用原子玻色-爱因斯坦凝聚体与光相互作用产生受激Raman跃迁制备的原子激光二阶相干性质。结果表明,这种原子激光是反聚束的,在一定条件下,是二阶相干的。     

Quasi-Conical Quantum Dot: Electron States and Quantum Transitions

The exactly solvable model of quasi-conical quantum dot, having a form of spherical sector, is proposed. Due to the specific symmetry of the problem the separation of variables in spherical coordinates is possible in the one-electron Schrodinger equation. Analytical expressions for wave function and energy spectrum are obtained. It is shown that at small values of the stretch angle of spherical sector the problem is reduced to the conical QD problem. The comparison with previously performed works shows good agreement of results. As an application of the obtained results, the quantum transitions in the system are considered.     

Steered Quantum Coherence as a Signature of Topological Quantum Phase Transitions in the Extended XY Model

In recent years, there has been a surge of interest in exploring coherence measures and correlation measures to characterize topological quantum phase transitions (TQPTs). Here, motivated by the continued push in this direction, the steered quantum coherence (SQC) in the extended XY model is studied to analyze its capability in characterizing TQPTs. It is shown that the first derivative of SQC succeeds in signaling different critical points of TQPTs. In particular, it is found that the SQC is a long-range correlation and the first derivative of SQC can always accurately identify TQPTs for different site distance.     

Nonlinear Theory of Quantum Brownian Motion

A nonlinear theory of quantum Brownian motion in classical environment is developed based on a thermodynamically enhanced nonlinear Schrödinger equation. The latter is transformed via the Madelung transformation into a nonlinear quantum Smoluchowski-like equation, which is proven to reproduce key results from the quantum and classical physics. The application of the theory to a free quantum Brownian particle results in a nonlinear dependence of the position dispersion on time, being quantum generalization of the Einstein law of Brownian motion. It is shown that the time of decoherence from quantum to classical diffusion is proportional to the square of the thermal de Broglie wavelength divided by the classical Einstein diffusion constant.     

Out-of-Time-Order Correlators and Quantum Phase Transitions in the Rabi and Dicke Models

The out-of-time-order correlators (OTOCs) is used to study the quantum phase transitions (QPTs) between the normal phase and the superradiant phase in the Rabi and few-body Dicke models with large frequency ratio of the atomic level splitting to the single-mode electromagnetic radiation field frequency. The focus is on the OTOC thermally averaged with infinite temperature, which is an experimentally feasible quantity. It is shown that the critical points can be identified by long-time averaging of the OTOC via observing its local minimum behavior. More importantly, the scaling laws of the OTOC for QPTs are revealed by studying the experimentally accessible conditions with finite frequency ratio and finite number of atoms in the studied models. The critical exponents extracted from the scaling laws of OTOC indicate that the QPTs in the Rabi and Dicke models belong to the same universality class.     

Full Quantum Theory of Transient-State Electromagnetically Induced Transparency

We develop a full quantum theory of transient-state electromagnetically induced transparency (EIT) in thevapor of three-level A-type atoms interacting with probe and coupling lasers. As applications of the full quantum theory,we show that transient-state EIT medium exhibits normal dispersion and find that group velocities of both coupling andprobe lasers are greatly reduced. It is shown that the group velocity of the probe laser in the transient-state EIT case isequal to that in the adiabatic EIT case and that the coupling laser group velocity in the transient-state EIT is generallyless than that in the adiabatic EIT.     

Quantum Statistical Complexity Measure as a Signaling of Correlation Transitions

We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signaling function of quantum order–disorder transitions. We discuss the possibility for such transitions to characterize interesting physical phenomena, as quantum phase transitions, or abrupt variations in correlation distributions. We apply our measure on two exactly solvable Hamiltonian models: the 1D-Quantum Ising Model (in the single-particle reduced state), and on Heisenberg XXZ spin-1/2 chain (in the two-particle reduced state). We analyze its behavior across quantum phase transitions for finite system sizes, as well as in the thermodynamic limit by using Bethe Ansatz technique.     

Full Quantum Theory of Transient-State Electromagnetically Induced Transparency

We develop a full quantum theory of transient-state electromagnetically induced transparency (EIT) in the vapor of three-level A-type atoms interacting with probe and coupling lasers. As applications of the full quantum theory, we show that transient-state EIT medium exhibits normal dispersion and find that group velocities of both coupling and probe lasers are greatly reduced. It is shown that the group velocity of the probe laser in the transient-state EIT case is equal to that in the adiabatic EIT case and that the coupling laser group velocity in the transient-state EIT is generally less than that in the adiabatic EIT.     

强激光场中一维原子的渐近边界条件

用Fourier变换推导了强激光场中一维原子模型的渐近边界条件,分析了三类渐近边界条件的误差,用第一类渐近边界条件和非齐线性正则方程的辛算法计算了强激光场中一维氢原子的几率分布和平均能量,并将结果与理论分析进行了比较.