Stability of many-body localization in Floquet systems

• URL: http://arxiv.org/abs/2203.15697v4
• Date: Wed, 16 Aug 2023 11:46:08 GMT
• Title: Stability of many-body localization in Floquet systems
• Authors: Piotr Sierant, Maciej Lewenstein, Antonello Scardicchio, Jakub Zakrzewski
• Abstract summary: finite size effects at the MBL transition are less severe than in the random field XXZ spin chains widely studied in the context of MBL. We observe consistent signatures of the transition to MBL phase for several indicators of ergodicity breaking in the kicked Ising model.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study many-body localization (MBL) transition in disordered Floquet systems using a polynomially filtered exact diagonalization (POLFED) algorithm. We focus on disordered kicked Ising model and quantitatively demonstrate that finite size effects at the MBL transition are less severe than in the random field XXZ spin chains widely studied in the context of MBL. Our conclusions extend also to other disordered Floquet models, indicating smaller finite size effects than those observed in the usually considered disordered autonomous spin chains. We observe consistent signatures of the transition to MBL phase for several indicators of ergodicity breaking in the kicked Ising model. Moreover, we show that an assumption of a power-law divergence of the correlation length at the MBL transition yields a critical exponent $\nu \approx 2$, consistent with the Harris criterion for 1D disordered systems.

Related papers

• Entanglement and operator correlation signatures of many-body quantum Zeno phases in inefficiently monitored noisy systems [49.1574468325115]
  The interplay between information-scrambling Hamiltonians and local continuous measurements hosts platforms for exotic measurement-induced phase transition. We identify a non-monotonic dependence on the local noise strength in both the averaged entanglement and operator correlations. The analysis of scaling with the system size in a finite length chain indicates that, at finite efficiency, this effect leads to distinct MiPTs for operator correlations and entanglement.
  arXiv  Detail & Related papers  (2024-07-16T13:42:38Z)
• DA-Flow: Dual Attention Normalizing Flow for Skeleton-based Video Anomaly Detection [52.74152717667157]
  We propose a lightweight module called Dual Attention Module (DAM) for capturing cross-dimension interaction relationships in-temporal skeletal data. It employs the frame attention mechanism to identify the most significant frames and the skeleton attention mechanism to capture broader relationships across fixed partitions with minimal parameters and flops.
  arXiv  Detail & Related papers  (2024-06-05T06:18:03Z)
• Phenomenology of many-body localization in bond-disordered spin chains [0.0]
  Many-body localization hinders the thermalization of quantum many-body systems in the presence of strong disorder. In this work, we study the MBL regime in bond-disordered spin-1/2 XXZ spin chain.
  arXiv  Detail & Related papers  (2024-05-16T12:52:47Z)
• Theory of free fermions dynamics under partial post-selected monitoring [49.1574468325115]
  We derive a partial post-selected Schrdinger"o equation based on a microscopic description of continuous weak measurement. We show that the passage to the monitored universality occurs abruptly at finite partial post-selection. Our approach establishes a way to study MiPTs for arbitrary subsets of quantum trajectories.
  arXiv  Detail & Related papers  (2023-12-21T16:53:42Z)
• Stable many-body localization under random continuous measurements in the no-click limit [0.0]
  We extend the quantum random energy model (QREM) to the non-Hermitian scenario. We show that the non-Hermitian QREM with random gain-loss offers a significantly stronger form of localization.
  arXiv  Detail & Related papers  (2023-10-31T18:00:00Z)
• Modelling sample-to-sample fluctuations of the gap ratio in finite disordered spin chains [0.0]
  We study sample-to-sample fluctuations of the gap ratio in the energy spectra in finite disordered spin chains. The chains are described by the random-field Ising model and the Heisenberg model.
  arXiv  Detail & Related papers  (2023-01-26T14:34:41Z)
• Avalanche stability transition in interacting quasiperiodic systems [0.0]
  We study the avalanche instability of the many body localized phase numerically, finding that many body localization is more stable in pseudorandom quasiperiodic systems. We conclude that the two belong to different universality classes.
  arXiv  Detail & Related papers  (2022-07-11T17:59:00Z)
• Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
  We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC) We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
  arXiv  Detail & Related papers  (2021-12-21T20:25:02Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Finite-Size scaling analysis of many-body localization transition in quasi-periodic spin chains [0.0]
  We analyze the finite-size scaling of the average gap-ratio and the entanglement entropy across the many-body localization (MBL) transition in one dimensional Heisenberg spin-chain with quasi-periodic (QP) potential. Our findings suggest that the MBL transition in the QP Heisenberg chain belongs to the class of Berezinskii-Kosterlitz-Thouless (BKT) transition.
  arXiv  Detail & Related papers  (2021-09-17T08:35:22Z)
• On Batch Normalisation for Approximate Bayesian Inference [102.94525205971873]
  We show that batch-normalisation does not affect the optimum of the evidence lower bound (ELBO) We also study the Monte Carlo Batch Normalisation (MCBN) algorithm, proposed as an approximate inference technique parallel to MC Dropout.
  arXiv  Detail & Related papers  (2020-12-24T12:40:11Z)

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.