Wave-packet and entanglement dynamics in a non-Hermitian many-body system
arXiv:2212.01001 · doi:10.7566/JPSCP.38.011187
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 becomes accessible) are shown.
arXiv comment6 pages, 4 figures, manuscript for the proceedings of LT29
References in corpus (11)
- Many body localization and thermalization in quantum statistical mechanics
- Edge states and topological invariants of non-Hermitian systems
- Topological phases of non-Hermitian systems
- Vortex Pinning and Non-Hermitian Quantum Mechanics
- Universal slow growth of entanglement in interacting strongly disordered systems
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
- Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization
- 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