Disorder-Induced Entanglement Phase Transitions in Non-Hermitian Systems with Skin Effects

• URL: http://arxiv.org/abs/2305.12342v2
• Date: Thu, 8 Jun 2023 09:23:18 GMT
• Title: Disorder-Induced Entanglement Phase Transitions in Non-Hermitian Systems with Skin Effects
• Authors: Kai Li, Ze-Chuan Liu, Yong Xu
• Abstract summary: We study the dynamics of a many-body state of free fermions in the paradigmatic Hatano-Nelson model with open boundaries. We find that the area-law behavior of the entanglement entropy in the pristine Hatano-Nelson model develops into a logarithmic scaling for small disorder strength.
• Score: 20.88126933913389
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Hermitian dynamics is ubiquitous in various physical systems. While recent study shows that such a dynamics leads to an area-law scaling of the entanglement entropy due to the non-Hermitian skin effects, it remains unclear how disorder changes the behavior of the entanglement entropy in a non-Hermitian system with skin effects. Here we study the dynamics of a many-body state of free fermions in the paradigmatic Hatano-Nelson model with open boundaries, and find that the area-law behavior of the entanglement entropy in the pristine Hatano-Nelson model develops into a logarithmic scaling for small disorder strength. As we further increase the disorder strength, the system reenters an area-law regime through an entanglement phase transition. At the critical point, the entanglement entropy exhibits a universal algebraic scaling. We further demonstrate the absence of a conformal invariance in the log-law regime by examining the subsystem entanglement entropy, the connected correlation function and the mutual information. Finally, we show the existence of disorder induced entanglement phase transitions in the Hatano-Nelson model with periodic boundaries.

Related papers

• Measurement-induced transitions for interacting fermions [43.04146484262759]
  We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations. Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM) By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
  arXiv  Detail & Related papers  (2024-10-09T18:00:08Z)
• Critical spin models from holographic disorder [49.1574468325115]
  We study the behavior of XXZ spin chains with a quasiperiodic disorder not present in continuum holography. Our results suggest the existence of a class of critical phases whose symmetries are derived from models of discrete holography.
  arXiv  Detail & Related papers  (2024-09-25T18:00:02Z)
• Entanglement phase transition due to reciprocity breaking without measurement or post-selection [59.63862802533879]
  EPT occurs for a system undergoing purely unitary evolution. We analytically derive the entanglement entropy out of and at the critical point for the $l=1$ and $l/N ll 1$ case.
  arXiv  Detail & Related papers  (2023-08-28T14:28:59Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Sunburst quantum Ising model under interaction quench: entanglement and role of initial state coherence [0.0]
  We study the non-equilibrium dynamics of an isolated bipartite quantum system under interaction quench. We show the importance of the role played by the coherence of the initial state in deciding the nature of thermalization.
  arXiv  Detail & Related papers  (2022-12-23T11:57:47Z)
• Theory of the Loschmidt echo and dynamical quantum phase transitions in disordered Fermi systems [0.0]
  We develop the theory of the Loschmidt echo and dynamical phase transitions in non-interacting strongly disordered Fermi systems after a quench. In finite systems the Loschmidt echo displays zeros in the complex time plane that depend on the random potential realization. We show that this dynamical phase transition can be understood as a transition in the distribution function of the smallest eigenvalue of the Loschmidt matrix.
  arXiv  Detail & Related papers  (2022-09-22T10:04:45Z)
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model [44.58985907089892]
  How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear. We show that there is a continuous phase transition induced by the non-hermiticity in QCP. We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
  arXiv  Detail & Related papers  (2022-09-22T01:11:28Z)
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect [0.0]
  We show that the skin effect induces a nonequilibrium quantum phase transition in the entanglement dynamics. We also show that the skin effect leads to the purification and the reduction of von Neumann entropy even in Markovian open quantum systems.
  arXiv  Detail & Related papers  (2022-06-11T00:27:36Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems [0.0]
  Non-Hermiticity and dephasing realize unconventional entanglement evolution in a disordered quantum medium. We first consider how wave packet spreads in a non-Hermitian disordered system for demonstraing that it is very different from the Hermitian case. We then analyze how the entanglement entropy of the system evolves in the interacting non-Hermitian model.
  arXiv  Detail & Related papers  (2021-09-28T14:43:54Z)
• Growth of entanglement entropy under local projective measurements [0.0]
  We show that local projective measurements induce a qualitative modification of the time-growth of the entanglement entropy. In the stationary regime, the logarithmic behavior of the entanglement entropy do not survive in the thermodynamic limit. We numerically show the existence of a single area-law phase for the entanglement entropy.
  arXiv  Detail & Related papers  (2021-09-22T16:56:35Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.