Driving-induced multiple ${\cal PT}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals

• URL: http://arxiv.org/abs/2203.03995v2
• Date: Mon, 15 Aug 2022 02:36:05 GMT
• Title: Driving-induced multiple ${\cal PT}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Authors: Longwen Zhou and Wenqian Han
• Abstract summary: We uncover an intriguing class of non-Hermitian Floquet matter in one-dimensional quasicrystals. Our results not only unveil the richness of localization phenomena in driven non-Hermitian quasicrystals, but also highlight the advantage of Floquet approach in generating unique types of nonequilibrium phases in open systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The cooperation between time-periodic driving fields and non-Hermitian effects could endow systems with distinctive spectral and transport properties. In this work, we uncover an intriguing class of non-Hermitian Floquet matter in one-dimensional quasicrystals, which is characterized by the emergence of multiple driving-induced ${\cal PT}$-symmetry breaking/restoration, mobility edges, and reentrant localization transitions. These findings are demonstrated by investigating the spectra, level statistics, inverse participation ratios and wavepacket dynamics of a periodically quenched nonreciprocal Harper model. Our results not only unveil the richness of localization phenomena in driven non-Hermitian quasicrystals, but also highlight the advantage of Floquet approach in generating unique types of nonequilibrium phases in open systems.

Related papers

• Anomalous transport in U(1)-symmetric quantum circuits [41.94295877935867]
  Investigation of discrete-time transport in a generic U(1)-symmetric disordered model tuned across an array of different dynamical regimes. We develop an aggregate quantity, a circular statistical moment, which is a simple function of the magnetization profile. From this quantity we extract transport exponents, revealing behaviors across the phase diagram consistent with localized, diffusive, and - most interestingly for a disordered system - superdiffusive regimes.
  arXiv  Detail & Related papers  (2024-11-21T17:56:26Z)
• Many-body nonequilibrium dynamics in a self-induced Floquet system [2.4898174182192974]
  We experimentally demonstrate a self-induced Floquet system in the interacting Rydberg gas. This originates from the photoionization of thermal Rydberg gases in a static magnetic field. We probe the nonequilibrium dynamics in the bistable regime and identify the emergence of a discrete time crystalline phase.
  arXiv  Detail & Related papers  (2024-11-07T12:13:02Z)
• Gapless Floquet topology [40.2428948628001]
  We study the existence of topological edge zero- and pi-modes despite the lack of bulk gaps in the quasienergy spectrum. We numerically study the effect of interactions, which give a finite lifetime to the edge modes in the thermodynamic limit with the decay rate consistent with Fermi's Golden Rule.
  arXiv  Detail & Related papers  (2024-11-04T19:05:28Z)
• Hidden exceptional point, localization-delocalization phase transition in Hermitian bosonic Kitaev model [0.0]
  A Hermitian bosonic Kitaev model supports a non-Hermitian core matrix with exceptional points (EPs) We show the connection between the hidden EP and the localization-delocalization transition in the equivalent systems. Numerical simulations of the time evolution reveal a clear transition point at the EP.
  arXiv  Detail & Related papers  (2024-10-21T12:52:18Z)
• Entanglement phase transitions in non-Hermitian Floquet systems [0.0]
  In this work, we reveal entanglement transitions in the context of non-Hermitian Floquet systems. We find that the monotonic increase of quenched hopping amplitude could flip the system between volume-law and area-law entangled Floquet phases. Our findings build a foundation for exploring entanglement phase transitions in Floquet non-Hermitian setups.
  arXiv  Detail & Related papers  (2023-10-17T15:40:12Z)
• Dispersive Non-reciprocity between a Qubit and a Cavity [24.911532779175175]
  We present an experimental study of a non-reciprocal dispersive-type interaction between a transmon qubit and a superconducting cavity. We show that the qubit-cavity dynamics is well-described in a wide parameter regime by a simple non-reciprocal master-equation model.
  arXiv  Detail & Related papers  (2023-07-07T17:19:18Z)
• Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals [64.76138964691705]
  We discuss a sufficient condition for gapless excitations in the Lindbladian master equation for collective spin-boson systems. We argue that gapless modes can lead to persistent dynamics in the spin observables with the possible formation of dissipative time-crystals.
  arXiv  Detail & Related papers  (2022-09-26T18:34:59Z)
• 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)
• Dissipative Floquet Dynamical Quantum Phase Transition [0.0]
  Non-Hermitian Hamiltonians provide a simple picture for inspecting dissipative systems with natural or induced gain and loss. We investigate the Floquet dynamical phase transition in the dissipative periodically time driven XY and extended XY models.
  arXiv  Detail & Related papers  (2021-11-11T10:16:52Z)
• Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals [0.0]
  Time-periodic driving fields could endow a system with peculiar topological and transport features. We find dynamically controlled localization transitions and mobility edges in non-Hermitian quasicrystals via shaking the lattice periodically.
  arXiv  Detail & Related papers  (2021-06-14T03:53:08Z)
• Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains [68.8204255655161]
  We show that even in the absence of disorder, and in the presence of bulk heating, $pi$ edge modes are long lived. A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace.
  arXiv  Detail & Related papers  (2021-05-28T12:13:14Z)

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.