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Exactly solvable counting statistics in open weakly coupled interacting spin systems.

Berislav Buča1, Tomaž Prosen1

  • 1Department of Physics, FMF, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia.

Physical Review Letters
|March 4, 2014
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Summary
This summary is machine-generated.

We derived exact spin current statistics for quantum many-body spin systems. These leading-order statistics are universal, independent of system details, and applicable to parity-symmetric spin-1/2 systems.

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Area of Science:

  • Quantum Many-Body Physics
  • Statistical Mechanics
  • Condensed Matter Theory

Background:

  • Understanding quantum many-body spin systems is crucial for developing quantum technologies.
  • Characterizing spin current statistics in open quantum systems presents significant theoretical challenges.
  • Interactions and environmental coupling introduce complexities in predicting system behavior.

Purpose of the Study:

  • To derive exact full counting statistics for interacting quantum many-body spin systems coupled to an environment.
  • To investigate the universality of spin current statistics in parity-symmetric spin-1/2 systems.
  • To analyze nonlinear corrections to current statistics in specific models like the anisotropic Heisenberg chain.

Main Methods:

  • Derivation of exact spin current statistics in the leading order of system-bath coupling.
  • Analysis of parity-symmetric spin-1/2 systems driven by Markovian baths with local coupling operators.
  • Explicit calculation of third-order nonlinear corrections for the anisotropic Heisenberg (XXZ) spin-1/2 chain.

Main Results:

  • Exact leading-order spin current statistics were derived for a broad class of systems.
  • The leading-order statistics exhibit universality, independent of the specific Hamiltonian details.
  • Third-order nonlinear corrections to current statistics were explicitly obtained for the XXZ spin-1/2 chain.

Conclusions:

  • The study reveals universal properties of spin current statistics in weakly coupled quantum spin systems.
  • The findings provide a theoretical framework for analyzing transport in complex quantum spin chains.
  • This work advances the understanding of quantum transport phenomena and their environmental dependencies.