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Quasi-Many-Body Localization in Translation-Invariant Systems.

N Y Yao1, C R Laumann2,3, J I Cirac4

  • 1Department of Physics, University of California, Berkeley, California 94720, USA.

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|December 24, 2016
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Summary
This summary is machine-generated.

We found a new dynamical behavior in spin ladders called quasi-many-body localization. This state exhibits anomalous diffusion and spin polarization decay before eventually thermalizing.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Dynamics

Background:

  • Many-body localization (MBL) describes the absence of thermalization in disordered quantum systems.
  • Translation-invariant spin ladders are a key platform for studying quantum dynamics.

Purpose of the Study:

  • To investigate localization phenomena in high entropy states of a one-dimensional spin ladder.
  • To characterize the dynamics and identify novel phases of matter.

Main Methods:

  • Analysis of entanglement entropy growth at early times.
  • Study of spin polarization decay and anomalous diffusion at intermediate times.
  • Identification of a characteristic length scale governing transport and ordering.

Main Results:

  • Early-time entanglement growth is consistent with many-body localization.
  • Intermediate-time dynamics show anomalous diffusion and spin polarization decay.
  • A single length scale controls spin transport and spin glass susceptibility.

Conclusions:

  • A novel dynamical regime, termed quasi-many-body localization, is identified.
  • This regime bridges the gap between localized and thermalizing behaviors.
  • The findings offer new insights into quantum dynamics in one-dimensional systems.