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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.
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.
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.
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