Non-Hermitian Multipole Skin Effects Challenge Localization

• URL: http://arxiv.org/abs/2504.10580v1
• Date: Mon, 14 Apr 2025 18:00:01 GMT
• Title: Non-Hermitian Multipole Skin Effects Challenge Localization
• Authors: Jacopo Gliozzi, Federico Balducci, Taylor L. Hughes, Giuseppe De Tomasi,
• Abstract summary: We study the effect of quenched disorder on the non-Hermitian skin effect in systems that conserve a U(1) charge.<n>In periodic boundary conditions, the skin effect gives way to a delocalized phase with a unidirectional current.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the effect of quenched disorder on the non-Hermitian skin effect in systems that conserve a U(1) charge and its associated multipole moments. In particular, we generalize the Hatano-Nelson argument for an Anderson transition in a disordered system with non-reciprocal hopping to the interacting case. When only U(1) charge is conserved, we show that there is a transition between a skin effect phase, in which charges are localized at a boundary, and a many-body localized phase, in which the charges are localized at random positions. In periodic boundary conditions, the skin effect gives way to a delocalized phase with a unidirectional current. If additional multipole moments like dipoles are conserved, we show that the non-Hermitian skin effect remains stable for any amount of disorder. As a result, under periodic boundary conditions, the system is always delocalized regardless of disorder strength.

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)
• Delocalization of skin steady states [5.718282166156735]
  We propose an intuitive Lindbladian composed of two chains with reversed skin localization. In the single-body scenario, it corresponds to a shift in the scaling of the Liouvillian gap. In the many-body scenario, it is revealed that the scaling behavior of steady-state entanglement changes from the area law to the logarithmic law.
  arXiv  Detail & Related papers  (2024-07-11T11:03:54Z)
• Many-Body Non-Hermitian Skin Effect for Multipoles [0.0]
  We investigate the fate of the non-Hermitian skin effect in one-dimensional $textU(1)$ systems. Key feature of the non-Hermitian skin effect for $m$-pole conserving systems is the generation of an $(m+1)$th multipole moment. In addition, we explore the dynamical consequences of the $m$-pole skin effect, focusing on charge and entanglement propagation.
  arXiv  Detail & Related papers  (2024-01-08T19:00:01Z)
• Collective non-Hermitian skin effect: Point-gap topology and the doublon-holon excitations in non-reciprocal many-body systems [1.565361244756411]
  Non-Hermitian skin effect, macroscopic collapse of bulk states to the boundary, has been extensively studied in various experimental platforms. Previous studies have shown that the Pauli exclusion principle suppresses the skin effect. We present a compelling counterexample by demonstrating the presence of the skin effect in doublon-holon excitations.
  arXiv  Detail & Related papers  (2023-09-14T17:43:16Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Topologically bound states, non-Hermitian skin effect and flat bands, induced by two-particle interaction [91.3755431537592]
  We study theoretically repelling quantum states of two spinless particles in a one-dimensional tight-binding model. We demonstrate, that when the particles are not identical, their interaction drives nontrivial correlated two-particle states.
  arXiv  Detail & Related papers  (2022-11-11T07:34:54Z)
• Anomalously large relaxation times in dissipative lattice models beyond the non-Hermitian skin effect [49.1574468325115]
  We show for generic quantum non-Hermitian tight-binding models that relaxation of local observables are not controlled by the localization length. interference between eigenvectors effectively makes the extreme localization of modes largely irrelevant to relaxation. Our work highlights an important aspect of the non-Hermitian skin effect: the exceptional sensitivity to boundary conditions here necessarily takes a finite amount of time to manifest itself.
  arXiv  Detail & Related papers  (2022-10-25T17:55:58Z)
• 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)
• Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition [62.997667081978825]
  We analyze the role of boundary conditions in the statistics of topological defects. We show that for fast and moderate quenches, the cumulants of the kink number distribution present a universal scaling with the quench rate.
  arXiv  Detail & Related papers  (2022-07-08T09:55:05Z)
• 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)
• Damping transition in an open generalized Aubry-Andr\'e-Harper model [0.9239657838690226]
  We study the damping dynamics of the single-particle correlation for an open system under periodic and aperiodic order. Due to the non-Hermitian skin effect, the damping dynamics is boundary sensitive. We propose a possible scheme with ultracold atoms in a dissipative momentum lattice to realize and detect the damping dynamics.
  arXiv  Detail & Related papers  (2021-09-27T11:21:31Z)

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.