发表机构
Department of Physics and Astronomy, University of Turku（图尔库大学物理与天文系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究利用速率算子形式论构造开放玻色-哈伯德模型的非厄米动力学，可生成标准方法无法得到的唯一稳态，还能通过可调参数实现不同稳态相的转变。
AI 中文摘要
非厄米演化可通过对连续监测开放量子系统中产生的随机纯态轨迹进行后选择实现。速率算子形式论提供了一种通用且系统的框架，可将主方程分解为随机纯态演化，从而增强对所得非厄米动力学的控制。本研究探索速率算子形式论作为构造非厄米动力学工具的适用性，具体将该方法应用于受环境退相位影响的玻色-哈伯德模型，考察其对受控态操控的影响。我们的分析置于量子态工程和测量诱导相变的更广泛背景中，证明速率算子形式论能够构造出具有唯一稳态的有效非厄米哈密顿量，即便在标准蒙特卡洛波函数方法无法产生稳态的区域也可实现。此外，该框架还能促进不同稳态相之间的转变，转变由可调参数（如相互作用强度和通过速率算子形式论引入的非厄米性控制参数）调控。
英文摘要
Non-Hermitian evolution can be realized through post-selection on stochastic pure-state trajectories arising in continuously monitored open quantum systems. The rate operator formalism provides a versatile and systematic framework for unraveling a master equation into stochastic pure-state evolutions, offering enhanced control over the resulting non-Hermitian dynamics. In the present work, we explore the applicability of the rate operator formalism as a tool for engineering non-Hermitian dynamics. Specifically, we apply this approach to the Bose-Hubbard model subject to environmental dephasing, examining its consequences for controlled state manipulation. Our analysis is framed within the broader contexts of quantum state engineering and measurement-induced phase transitions. We demonstrate that the rate operator formalism enables the construction of effective non-Hermitian Hamiltonians exhibiting a unique steady state-even in regimes where the standard Monte Carlo wavefunction method fails to produce one. Furthermore, we show that this framework facilitates transitions between distinct steady-state phases, governed by tunable parameters such as the interaction strength and a non-Hermiticity control parameter introduced via the rate operator formalism.
Comments22 + 4 pages, 15 + 4 figures
