Localization persisting under aperiodic driving

• URL: http://arxiv.org/abs/2111.13558v2
• Date: Tue, 14 Jun 2022 07:33:28 GMT
• Title: Localization persisting under aperiodic driving
• Authors: Hongzheng Zhao, Florian Mintert, Johannes Knolle and Roderich Moessner
• Abstract summary: localization may survive in periodically driven (Floquet) quantum systems, but is generally unstable for aperiodic drives. We identify a hidden conservation law originating from a chiral symmetry in a disordered spin-1/2 XX chain. This protects indefinitely long-lived localization for general--even aperiodic--drives.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Localization may survive in periodically driven (Floquet) quantum systems, but is generally unstable for aperiodic drives. In this work, we identify a hidden conservation law originating from a chiral symmetry in a disordered spin-1/2 XX chain. This protects indefinitely long-lived localization for general--even aperiodic--drives. Therefore, rather counter-intuitively, adding further potential disorder which spoils the conservation law delocalizes the system, via a controllable parametrically long-lived prethermal regime. This provides a first example of persistent single-particle `localization without eigenstates'.

Related papers

• Anderson localization without eigenstates in photonic quantum walks [0.0]
  Anderson localization is ubiquitous in wavy systems with strong static and uncorrelated disorder. In one-dimensional lattices with off-diagonal disorder Anderson localization can persist for arbitrary time-dependent drivings.
  arXiv  Detail & Related papers  (2023-04-16T07:36:28Z)
• 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)
• Localization control born of intertwined quasiperiodicity and non-Hermiticity [0.0]
  We show for the first time that the intertwined quasiperiodicity and non-Hermiticity can give rise to striking effects. In particular, we explore the wave function localization character in the Aubry-Andre-Fibonacci (AAF) model.
  arXiv  Detail & Related papers  (2022-11-25T19:00:05Z)
• Localization in the random XXZ quantum spin chain [55.2480439325792]
  We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a nontrivial region of the parameter space.
  arXiv  Detail & Related papers  (2022-10-26T17:25:13Z)
• Growth of entanglement of generic states under dual-unitary dynamics [77.34726150561087]
  Dual-unitary circuits are a class of locally-interacting quantum many-body systems. In particular, they admit a class of solvable" initial states for which, in the thermodynamic limit, one can access the full non-equilibrium dynamics. We show that in this case the entanglement increment during a time step is sub-maximal for finite times, however, it approaches the maximal value in the infinite-time limit.
  arXiv  Detail & Related papers  (2022-07-29T18:20:09Z)
• Clean two-dimensional Floquet time-crystal [68.8204255655161]
  We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a spontaneously broken discrete time-translation symmetry. We observe a non-perturbative change in the decay rate of the order parameter, which is related to the long-lived stability of the magnetic domains in 2D.
  arXiv  Detail & Related papers  (2022-05-10T13:04:43Z)
• Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles [0.0]
  We consider nonequilibrium time evolution in quantum spin chains after a global quench. Because of them, the stationary state emerging at infinite time can exhibit exceptional features. Among the exceptional properties, we find that, at late times, the excess of entropy of a spin block triggered by a local perturbation in the initial state grows logarithmically with the subsystem's length.
  arXiv  Detail & Related papers  (2022-05-04T17:55:10Z)
• Anomalous Random Multipolar Driven Insulators [0.0]
  We show that even in the absence of time translation symmetry, nonequilibrium topological phases of matter can exist in aperiodically driven systems. We first demonstrate the existence of longlived prethermal Anderson localization in two dimensions under random multipolar driving.
  arXiv  Detail & Related papers  (2022-01-14T11:55:49Z)
• Prolonged orbital relaxation by locally modified phonon density of states for SiV$^-$ center in nanodiamonds [45.82374977939355]
  Coherent quantum systems are a key resource for emerging quantum technology. A novel method is presented to prolong the orbital relaxation with a locally modified phonon density of states.
  arXiv  Detail & Related papers  (2021-07-30T14:14:26Z)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws [0.0]
  More recently, it has been shown that the statistical mechanics has a much richer structure due to the existence of it emergent conservation laws. This review intends to give a theoretical overview of these developments.
  arXiv  Detail & Related papers  (2021-05-21T16:50:49Z)

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.