Phenomenology of many-body localization in bond-disordered spin chains

• URL: http://arxiv.org/abs/2405.10062v1
• Date: Thu, 16 May 2024 12:52:47 GMT
• Title: Phenomenology of many-body localization in bond-disordered spin chains
• Authors: Adith Sai Aramthottil, Piotr Sierant, Maciej Lewenstein, Jakub Zakrzewski,
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Many-body localization (MBL) 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, finding the multimodal distribution of entanglement entropy in eigenstates, sub-Poissonian level statistics, and revealing a relation between operators and initial states required for examining the breakdown of thermalization in the time evolution of the system. We employ a real space renormalization group scheme to identify these phenomenological features of the MBL regime that extend beyond the standard picture of local integrals of motion relevant for systems with disorder coupled to on-site operators. Our results pave the way for experimental probing of MBL in bond-disordered spin chains.

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)
• Engineering Transport via Collisional Noise: a Toolbox for Biology Systems [44.99833362998488]
  We study a generalised XXZ model in the presence of collision noise, which allows to describe environments beyond the standard Markovian formulation. Results constitute an example of the essential building blocks for the understanding of quantum transport in noisy and warm disordered environments.
  arXiv  Detail & Related papers  (2023-11-15T12:55:28Z)
• 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)
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain [62.997667081978825]
  We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
  arXiv  Detail & Related papers  (2022-12-19T12:34:37Z)
• 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)
• 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)
• Many-body localization and delocalization dynamics in the thermodynamic limit [0.0]
  Numerical linked cluster expansions (NLCE) provide a means to tackle quantum systems directly in the thermodynamic limit. We demonstrate that NLCE provide a powerful tool to explore MBL by simulating quench dynamics in disordered spin-$1/2$ two-leg ladders and Fermi-Hubbard chains. Our work sheds light on MBL in systems beyond the well-studied disordered Heisenberg chain and emphasizes the usefulness of NLCE for this purpose.
  arXiv  Detail & Related papers  (2022-02-21T19:15:46Z)
• Directly Revealing Entanglement Dynamics through Quantum Correlation Transfer Functions with Resultant Demonstration of the Mechanism of Many-Body Localization [0.0]
  This paper introduces the Quantum Correlation Transfer Function (QCTF) approach to entanglement dynamics in many-body quantum systems. We show that QCTF can be fully characterized directly from the system's Hamiltonian, which circumvents the bottleneck of calculating the many-body system's time-evolution. We also show that QCTF provides a new foundation to study the Eigenstate Thermalization Hypothesis (ETH)
  arXiv  Detail & Related papers  (2022-01-26T22:50:04Z)
• Detecting ergodic bubbles at the crossover to many-body localization using neural networks [0.0]
  We propose an algorithm that allows to detect the ergodic bubbles using experimentally measurable two-site correlation functions. Our results open new pathways in studies of the mechanisms of thermalization of disordered many-body systems and beyond.
  arXiv  Detail & Related papers  (2021-06-03T13:03:36Z)
• Observation of Stark many-body localization without disorder [0.0]
  Many-body localization (MBL) can result in preservation of a non-thermal state. We realize Stark MBL in a trapped-ion quantum simulator. Results demonstrate the unexpected generality of MBL.
  arXiv  Detail & Related papers  (2021-02-14T21:33:23Z)
• Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain [0.0]
  In one dimension the many-body localization transition is accompanied by a spin freezing mechanism which causes chain breakings in the thermodynamic limit. We show that such chain breakings directly probe the typical localization length, and that their scaling properties at the MBL transition agree with the Kosterlitz-Thouless scenario predicted by renormalization group approaches.
  arXiv  Detail & Related papers  (2020-04-06T17:51:12Z)

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.