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Many-Body Quantum State Diffusion for Non-Markovian Dynamics in Strongly Interacting Systems.

S Flannigan1, F Damanet2, A J Daley1

  • 1Department of Physics and SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom.

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|February 25, 2022
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This summary is machine-generated.

This study combines non-Markovian quantum state diffusion and tensor network methods to model complex quantum systems. The research reveals how non-Markovian dissipation can enhance correlation spreading in many-body systems.

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Area of Science:

  • Quantum Physics
  • Many-Body Systems
  • Condensed Matter Physics

Background:

  • Modeling non-Markovian dynamics in open quantum systems is difficult, particularly for strongly interacting many-body systems.
  • Existing methods struggle to capture the complex correlations and dissipative effects inherent in these systems.

Purpose of the Study:

  • To develop and apply a novel computational approach for simulating non-Markovian dynamics in complex quantum systems.
  • To investigate the influence of non-Markovian dissipation on correlation spreading in a 1D Hubbard-Holstein model.

Main Methods:

  • Integration of non-Markovian quantum state diffusion techniques with tensor network methods.
  • Application to a 1D Hubbard-Holstein model featuring dissipative phonon modes.

Main Results:

  • Quantitative assessment of correlation spreading under non-Markovian dissipation in a 1D many-body system.
  • Identification of regimes where non-Markovian effects enhance correlation growth and transport.

Conclusions:

  • The combined quantum state diffusion and tensor network approach provides a powerful tool for studying non-Markovian quantum dynamics.
  • Dissipative non-Markovian effects can be harnessed to enhance transport and correlation spreading, with implications for solid-state and cold-atom experiments.