Wave-packet and entanglement dynamics in a non-Hermitian many-body system

• URL: http://arxiv.org/abs/2212.01001v1
• Date: Fri, 2 Dec 2022 06:47:18 GMT
• Title: Wave-packet and entanglement dynamics in a non-Hermitian many-body system
• Authors: Takahiro Orito, Ken-Ichiro Imura
• Abstract summary: A one-dimensional quantum system described by a non-Hermitian Hamiltonian of the so-called Hatano-Nelson type is studied. Effects of disorder and inter-particle interaction, especially, when they coexist, may be less understood.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The static and dynamical properties of a one-dimensional quantum system described by a non-Hermitian Hamiltonian of the so-called Hatano-Nelson type; a tight-binding model with asymmetric (or non-reciprocal) hopping, are studied. The static properties of the model have been much studied; the complex spectrum, skin effect and its topological interpretation, etc. Effects of disorder and inter-particle interaction, especially, when they coexist, may be less understood. Here, we will also focus on its dynamical properties and reveal some unique features in the wave-packet and entanglement (entropy) dynamics. For that some latest (original) results based on improved numerics (with this a system of larger system size $L$ becomes accessible) are shown.

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