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Stark Many-Body Localization.

M Schulz1,2, C A Hooley1, R Moessner2

  • 1SUPA, School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, Fife KY16 9SS, United Kingdom.

Physical Review Letters
|February 16, 2019
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Summary
This summary is machine-generated.

Spinless fermions in a strong electric field exhibit many-body localization (MBL). Interactions preserve this localization, showing logarithmic entanglement growth and Poissonian energy level statistics, similar to conventional MBL models.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Physics

Background:

  • Wannier-Stark localization describes single-particle wave function localization in periodic potentials under electric fields.
  • Many-body localization (MBL) is a phenomenon where interacting quantum systems fail to thermalize due to strong disorder.
  • Understanding localization in interacting systems is crucial for quantum information and condensed matter theory.

Purpose of the Study:

  • To investigate the effect of interactions on Wannier-Stark localized fermions in a one-dimensional lattice under a strong electric field.
  • To determine if such systems exhibit behavior analogous to many-body localization (MBL).
  • To characterize the dynamics and spectral properties of this interacting system.

Main Methods:

  • Theoretical analysis of spinless fermions on a finite 1D lattice with nearest-neighbor repulsion.
  • Application of a strong electric field leading to Wannier-Stark localization.
  • Calculation of entanglement entropy dynamics after a quantum quench.
  • Analysis of the many-body energy spectrum's level statistics.

Main Results:

  • The system remains localized even with interactions, a phenomenon termed "many-body localization-like" behavior.
  • Entanglement entropy exhibits logarithmic growth over time after a quench, with a distinct functional form compared to standard MBL.
  • The many-body energy spectrum displays Poissonian level statistics, a hallmark of localized systems.
  • Predicted experimental outcomes for a charge-density wave state quench align with previous findings.

Conclusions:

  • Interacting spinless fermions in a strong electric field display localization phenomena analogous to many-body localization (MBL).
  • The observed logarithmic entanglement growth and Poissonian level statistics provide strong evidence for this MBL-like phase.
  • This work offers a new platform for studying localization without quenched disorder, with potential implications for quantum simulation and information processing.