Many-body localization crossover is sharper in quasiperiodic spin chains

• URL: http://arxiv.org/abs/2408.02590v1
• Date: Mon, 5 Aug 2024 16:01:20 GMT
• Title: Many-body localization crossover is sharper in quasiperiodic spin chains
• Authors: Pedro R. Nicácio Falcão, Adith Sai Aramthottil, Piotr Sierant, Jakub Zakrzewski,
• Abstract summary: We numerically demonstrate differences in the behavior of standard ergodicity-breaking indicators at the MBL crossover in random and quasiperiodic systems. Our key finding is the exponential increase in the sharpness of the MBL crossover with system size for quasiperiodic systems. It highlights the importance of quasiperiodic systems for our understanding of many-body dynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Due to a phenomenon of many-body localization (MBL), the strong disorder may significantly slow down or even completely hinder the thermalization of quantum many-body systems. A sufficiently deep quasiperiodic potential may also inhibit thermalization. In this work, we numerically demonstrate direct differences in the behavior of standard ergodicity-breaking indicators at the MBL crossover in random and quasiperiodic systems. Our key finding is the exponential increase in the sharpness of the MBL crossover with system size for quasiperiodic systems, a trend that is only linear in disordered systems. The strong tendency towards a non-analytic behavior in quasiperiodic systems is consistent with the existence of dynamical regimes with sharply defined boundaries or an MBL phase transition. It highlights the importance of quasiperiodic systems for our understanding of many-body dynamics.

Related papers

• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings [41.94295877935867]
  We show the emergence of unconventional, non-reciprocal, long-range dissipative couplings induced by the interaction of the bosonic chain with a chiral, multi-mode channel. We also show how these couplings can also stabilize topological amplifying phases in the presence of local parametric drivings.
  arXiv  Detail & Related papers  (2024-05-16T15:16:33Z)
• 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)
• Many-Body Localization in the Age of Classical Computing [0.0]
  This review focuses on recent numerical investigations aiming to clarify the status of the MBL phase. The drifts are related to tendencies towards thermalization and non-vanishing transport observed in the dynamics of many-body systems. Questions about thermalization and its failure in disordered many-body systems remain captivating area open for further explorations.
  arXiv  Detail & Related papers  (2024-03-11T19:00:06Z)
• TANGO: Time-Reversal Latent GraphODE for Multi-Agent Dynamical Systems [43.39754726042369]
  We propose a simple-yet-effective self-supervised regularization term as a soft constraint that aligns the forward and backward trajectories predicted by a continuous graph neural network-based ordinary differential equation (GraphODE) It effectively imposes time-reversal symmetry to enable more accurate model predictions across a wider range of dynamical systems under classical mechanics. Experimental results on a variety of physical systems demonstrate the effectiveness of our proposed method.
  arXiv  Detail & Related papers  (2023-10-10T08:52:16Z)
• Emergence of fluctuating hydrodynamics in chaotic quantum systems [47.187609203210705]
  macroscopic fluctuation theory (MFT) was recently developed to model the hydrodynamics of fluctuations. We perform large-scale quantum simulations that monitor the full counting statistics of particle-number fluctuations in boson ladders. Our results suggest that large-scale fluctuations of isolated quantum systems display emergent hydrodynamic behavior.
  arXiv  Detail & Related papers  (2023-06-20T11:26:30Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Reminiscence of classical chaos in driven transmons [117.851325578242]
  We show that even off-resonant drives can cause strong modifications to the structure of the transmon spectrum rendering a large part of it chaotic. Results lead to a photon number threshold characterizing the appearance of chaos-induced quantum demolition effects.
  arXiv  Detail & Related papers  (2022-07-19T16:04:46Z)
• 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)
• Anomalous multifractality in quantum chains with strongly correlated disorder [68.8204255655161]
  We show that a robust and unusual multifractal regime can emerge in a one-dimensional quantum chain with maximally correlated disorder. This regime is preceded by a mixed and an extended regime at weaker disorder strengths, with the former hosting both extended and multifractal eigenstates.
  arXiv  Detail & Related papers  (2021-12-18T06:31:51Z)
• 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)
• 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)

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.