Quantum trajectory approach to stochastically-induced quantum interference effects in coherently-driven two-level atoms

Observing controlled quantum state collapse in a single quantum trajectory of a mechanical oscillator

A fundamental prediction of quantum theory that is derived from the "projection postulate" is that under continuous measurement, the state of a system traces out a "quantum trajectory" in time that depends upon its measurement record, and that in certain situations, the quantum state of a system stochastically collapses at a finite rate toward a random eigenstate. On the other hand, quantum theory also predicts that environmental coupling produces the opposite effect of spreading the wave function into a mixed state. Studying the effect of these two competing processes, as the ratio of their s…

具有自发局域化的Ehrenfest动力学

Ehrenfest Dynamics with Spontaneous Localization

提出基于量子态扩散方程的退相干修正Ehrenfest动力学扩展（SLED），通过轨迹级随机局域化再现Lindblad型传播，确保物理一致性，并在基准模拟中验证了其有效性。

经典与量子混沌同步在耦合耗散时间晶格中的研究

Classical and quantum chaotic synchronization in coupled dissipative time crystals

研究经典和量子耗散时间晶格的混沌同步现象，通过分析最大李雅普诺夫指数和皮尔逊相关系数，揭示其在不同极限下的相变行为。

An analysis of reading out the state of a charge quantum bit

We provide a unified picture for the master equation approach and the quantum trajectory approach to a measurement problem of a two-state quantum system (a qubit), an electron coherently tunneling between two coupled quantum dots (CQD's) measured by a low transparency point contact (PC) detector. We show that the master equation of ``partially'' reduced density matrix can be derived from the quantum trajectory equation (stochastic master equation) by simply taking a ``partial'' average over the all possible outcomes of the measurement. If a full ensemble average is taken, the traditional (unco…

A stochastic model for quantum measurement

We develop a statistical model of microscopic stochastic deviation from classical mechanics based on a stochastic processes with a transition probability that is assumed to be given by an exponential distribution of infinitesimal stationary action. We apply the statistical model to stochastically modify a classical mechanical model for the measurement of physical quantities reproducing the prediction of quantum mechanics. The system+apparatus always have a definite configuration all the time as in classical mechanics, fluctuating randomly following a continuous trajectory. On the other hand, t…

Two coupled nonlinear cavities in a driven-dissipative environment

We investigate two coupled nonlinear cavities that are coherently driven in a dissipative environment. We perform semiclassical, numerical and analytical quantum studies of this dimer model when both cavities are symmetrically driven. In the semiclassical analysis, we find steady-state solutions with different photon occupations in two cavities. Such states can be considered analogs of the closed system double well symmetry breaking states. We analyze the occurrence and properties of these localized states in the system parameter space and examine how the symmetry breaking states, in form of a…

多光子 Jaynes-Cummings 共振中的量子涨落不对称性

Quantum-fluctuation asymmetry in multiphoton Jaynes-Cummings resonances

本文结合条件测量、量子轨迹与量子回归方法，研究多光子阻塞下 JC 振子两输出通道的光统计，揭示共振建立与读出过程中的时间及发射不对称性。