论文标题
具有多种配置时间依赖性的Hartree繁殖和马尔可夫量子跳跃的强耦合振荡器的开放量子动力学
Open quantum dynamics of strongly coupled oscillators with multi-configuration time-dependent Hartree propagation and Markovian quantum jumps
论文作者
论文摘要
在物理和化学的几个分支中，建模强烈相互作用量化自由度的非平衡耗散动力学是一个基本问题。我们实施了量子状态轨迹方案，以求解Lindblad量子主方程，以描述一组强耦合量化振荡器的相干和耗散过程。该方案涉及一系列随机量子跳跃的序列，其过渡概率确定了系统状态和系统储存动力学。在连续的跳跃之间，使用多组合时间依赖性Hartree（MCTDH）方法在坐标空间中传播波函数。我们将这种混合传播方法与精确的Liouville空间解决方案进行了比较，用于腔量子电动力学中感兴趣的物理系统，从而证明了使用大量量子轨迹数量的实验相关可观察结果的准确结果。我们展示了解决具有高激发密度的强烈相互作用量化振荡器的有限尺寸阵列的耗散动力学的潜力，这种情况对于传统密度矩阵繁殖物的挑战是由于基础希尔伯特（Hilbert）的较大尺寸。
Modeling the non-equilibrium dissipative dynamics of strongly interacting quantized degrees of freedom is a fundamental problem in several branches of physics and chemistry. We implement a quantum state trajectory scheme for solving Lindblad quantum master equations that describe coherent and dissipative processes for a set of strongly-coupled quantized oscillators. The scheme involves a sequence of stochastic quantum jumps with transition probabilities determined the system state and the system-reservoir dynamics. Between consecutive jumps, the wavefunction is propagated in coordinate space using the multi-configuration time-dependent Hartree (MCTDH) method. We compare this hybrid propagation methodology with exact Liouville space solutions for physical systems of interest in cavity quantum electrodynamics, demonstrating accurate results for experimentally relevant observables using a tractable number of quantum trajectories. We show the potential for solving the dissipative dynamics of finite size arrays of strongly interacting quantized oscillators with high excitation densities, a scenario that is challenging for conventional density matrix propagators due to the large dimensionality of the underlying Hilbert space.
