论文标题
阐明耗散系统中的非铁皮皮肤效应
Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
论文作者
论文摘要
非铁皮皮肤效应，即具有开放界限的晶格边缘的特征态凝结，是非富甲系统的异国情调表现。在Bloch理论中，一种有效的非热汉密尔顿人通常用于描述耗散，但是这并不是规范性的，并且忽略了量子的跳跃。这里表明，在基于随机Schrödinger方程或带有集体跳跃操作员的lindblad Master方程的一频晶格中耗散动力学的自洽描述中，皮肤效应及其动力学特征被洗净。然而，短期和长期放松动力学都为在半经典极限中发现的皮肤效应提供了隐藏的特征。特别是，朝向具有开放边界的晶格中最大的冯·诺伊曼熵的最大混合状态是半经典皮肤效应的表现。
The non-Hermitian skin effect, i.e. eigenstate condensation at the edges in lattices with open boundaries, is an exotic manifestation of non-Hermitian systems. In Bloch theory, an effective non-Hermitian Hamiltonian is generally used to describe dissipation, which however is not norm-preserving and neglects quantum jumps. Here it is shown that in a self-consistent description of the dissipative dynamics in a one-band lattice, based on the stochastic Schrödinger equation or Lindblad master equation with a collective jump operator, the skin effect and its dynamical features are washed out. Nevertheless, both short- and long-time relaxation dynamics provide a hidden signature of the skin effect found in the semiclassical limit. In particular, relaxation toward a maximally mixed state with the largest von Neumann entropy in a lattice with open boundaries is a manifestation of the semiclassical skin effect.
