工程耗散用于穿越量子临界点的热态追踪
Engineered Dissipation for Thermal-State Tracking Across Quantum Criticality
- Indian Institute of Science Education and Research（印度科学教育研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出基于工程化粒子数电流的马尔可夫耗散框架，用于穿越量子临界点的有限时间热态追踪，在横向场伊辛模型中显著抑制热激发偏差并实现更陡峭的残差标度。
AI中文摘要：
工程耗散已成为控制量子多体动力学的一种强大策略，补充了纯粹相干控制在态制备方面的不足。然而，穿越量子临界点的有限时间驱动会产生非绝热激发和相干性，现有的耗散工程方法大多描述固定环境如何修改临界动力学，而非主动将系统引导至规定的热轨迹。在此，我们发展了一个基于具有非负跃迁率的工程化粒子数电流的马尔可夫耗散框架，用于有限时间热态追踪，并将其应用于穿越其量子临界点的横向场伊辛模型。与幺正动力学和自然热浴相比，工程动力学强烈抑制了热激发偏差，并通过一个自由公共电流$Q_k$提供了对相干阻尼的额外控制，同时展现出明显更陡峭的残差标度，$\delta n_{\mathrm{ex}}^{\mathrm{th}}\sim(v/v_{\mathrm{ch}})^2$，优于幺正演化中恢复的Kibble--Zurek行为。这些结果指向工程耗散作为控制驱动量子临界系统中热态制备的一种途径。
英文摘要：
Engineering dissipation has emerged as a powerful strategy for controlling quantum many-body dynamics, complementing purely coherent control for state preparation. However, finite-time driving across a quantum critical point generates nonadiabatic excitations and coherences, and existing dissipation-engineering approaches have largely characterized how a fixed environment modifies critical dynamics rather than actively steering a system toward a prescribed thermal trajectory. Here we develop a Markovian dissipative framework for finite-time thermal-state tracking based on engineered population currents with non-negative transition rates, and apply it to the transverse-field Ising model driven across its quantum critical point. Compared with unitary dynamics and a natural thermal bath, the engineered dynamics strongly suppresses thermal excitation deviations and provides additional control over coherence damping through a free common current $Q_k$, while exhibiting a substantially steeper residual scaling, $δn_{\mathrm{ex}}^{\mathrm{th}}\sim(v/v_{\mathrm{ch}})^2$, than the Kibble--Zurek behavior recovered for unitary evolution. These results point toward engineered dissipation as a route for controlling thermal-state preparation in driven quantum critical systems.
