论文标题
穷人在Luttinger液体中的热化方法
Poor man's approach to thermalization in Luttinger liquid
论文作者
论文摘要
我们研究了相互作用的同时量子淬灭后，Luttinger液体的非平衡动力学，并耗散淬灭Lindblad方程范围内的环境。当与环境的耦合满足详细的平衡时，该系统注定要进行热化，我们使用玻体化遵循。系统的热力学熵也编码有关与环境纠缠的信息，要么在以通用方式达到其热值之前表现出最大，最小值或单调生长。单粒子密度矩阵揭示了时空的“相图”中的丰富行为，包括热，pRETHERMAL和耗散增强了突然的淬灭Luttinger液体行为以及耗散增强的费米液体反应。
We study the non-equilibrium dynamics of a Luttinger liquid after a simultaneous quantum quench of the interaction and dissipative quench to the environment within the realm of the Lindblad equation. When the couplings to environment satisfy detailed balance, the system is destined to thermalize, which we follow using bosonization. The thermodynamic entropy of the system, which also encodes information about the entanglement with the environment, either exhibits a maximum and minimum or grows monotonically before reaching its thermal value in a universal fashion. The single-particle density matrix reveals rich behaviour in the spatio-temporal "phase diagram", including thermal, prethermal and dissipation enhanced sudden quench Luttinger liquid behaviour as well as dissipation enhanced Fermi liquid response.
