Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss
Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss
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Bethe ansatz 耗散方法：损耗下量子多体动力学的精确解
DOI：
10.1088/1367-2630/abd124
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发表时间：
2020
影响因子：
3.3
通讯作者：
D. Jaksch
中科院分区：
文献类型：
--
作者：
B. Buča;Cameron Booker;M. Medenjak;D. Jaksch
我们开发了一种基于Bethe的方法来研究耗散系统的损失。该方法使我们能够准确地计算光谱的相互作用，多体Liouvillians。我们讨论了如何耗散贝特anomaly打开的可能性，分析计算的动力学范围广泛的实验相关的模型，包括冷原子进行一个和两个身体的损失，耦合腔阵列与玻色子逃离腔，腔量子电动力学。作为我们的方法的一个例子，我们研究了边界驱动XXZ自旋链的弛豫性质。我们精确地计算了Liouvillian间隙，并发现了一种新型的动力学耗散相变的不同弛豫速率。这在物理上转化为在易轴制度中形成稳定的畴壁，尽管存在损耗。这样的分析结果以前是无法访问的这种类型的系统。
We develop a Bethe ansatz based approach to study dissipative systems experiencing loss. The method allows us to exactly calculate the spectra of interacting, many-body Liouvillians. We discuss how the dissipative Bethe ansatz opens the possibility of analytically calculating the dynamics of a wide range of experimentally relevant models including cold atoms subjected to one and two body losses, coupled cavity arrays with bosons escaping the cavity, and cavity quantum electrodynamics. As an example of our approach we study the relaxation properties in a boundary driven XXZ spin chain. We exactly calculate the Liouvillian gap and find different relaxation rates with a novel type of dynamical dissipative phase transition. This physically translates into the formation of a stable domain wall in the easy-axis regime despite the presence of loss. Such analytic results have previously been inaccessible for systems of this type.
影响因子：
5.5
作者：
A. Ziółkowska;F. Essler
通讯作者：
A. Ziółkowska;F. Essler