论文标题
一阶量子过渡时的耗散动力学
Dissipative dynamics at first-order quantum transitions
论文作者
论文摘要
我们研究了耗散对量子转变下多体系统量子动力学的影响，尤其是考虑到第一阶的量子动力学。在范式的一维量子ISING模型中研究了这个问题。我们分析了由哈密顿参数的淬火引起的平衡动力学和由lindblad Master方程建模的耗散机制，其局部或全局旋转算子充当耗散算子。 Analogously to what happens at continuous quantum transitions, we observe a regime where the system develops a nontrivial dynamic scaling behavior, which is realized when the dissipation parameter $u$ (globally controlling the decay rate of the dissipation within the Lindblad framework) scales as the energy difference $Δ$ of the lowest levels of the Hamiltonian, i.e., $u\sim Δ$.但是，与连续的量子转变不同，$δ$被抑制了幂律，在一阶量子转换$δ$的情况下，随着系统尺寸的增加而被指数抑制（前提是边界条件不利于任何特定阶段）。
We investigate the effects of dissipation on the quantum dynamics of many-body systems at quantum transitions, especially considering those of the first order. This issue is studied within the paradigmatic one-dimensional quantum Ising model. We analyze the out-of-equilibrium dynamics arising from quenches of the Hamiltonian parameters and dissipative mechanisms modeled by a Lindblad master equation, with either local or global spin operators acting as dissipative operators. Analogously to what happens at continuous quantum transitions, we observe a regime where the system develops a nontrivial dynamic scaling behavior, which is realized when the dissipation parameter $u$ (globally controlling the decay rate of the dissipation within the Lindblad framework) scales as the energy difference $Δ$ of the lowest levels of the Hamiltonian, i.e., $u\sim Δ$. However, unlike continuous quantum transitions where $Δ$ is power-law suppressed, at first-order quantum transitions $Δ$ is exponentially suppressed with increasing the system size (provided the boundary conditions do not favor any particular phase).
