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

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.

6 pages, 4 figures, manuscript for the proceedings of LT29

References in corpus (5)

• Many body localization and thermalization in quantum statistical mechanics
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Many-body topology of non-Hermitian systems
• Fate of the non-Hermitian skin effect in many-body fermionic systems
• Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems

Cited by in corpus (2)

• Entanglement dynamics in the many-body Hatano-Nelson model
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal