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Open Quantum Systems Decoherence Quantum Thermodynamics

Estimate of equilibration times of quantum correlation functions in the thermodynamic limit based on Lanczos coefficients

arXiv
Authors: Jiaozi Wang, Merlin Füllgraf, Jochen Gemmer

Year

2024

Paper ID

60517

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We study the equilibration times Teq of local observables in quantum chaotic systems by considering their auto-correlation functions. Based on the recursion method, we suggest a scheme to estimate Teq from the corresponding Lanczos coefficients that is expected to hold in the thermodynamic limit. We numerically find that if the observable eventually shows smoothly growing Lanczos coefficients, a finite number of the former is sufficient for a reasonable estimate of the equilibration time. This implies that equilibration occurs on a realistic time scale much shorter than the life of the universe. The numerical findings are further supported by analytical arguments.

Why This Paper Matters

  • This paper contributes to the Quantum Thermodynamics research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • We study the equilibration times Teq of local observables in quantum chaotic systems by considering their auto-correlation functions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2412.15932 [2] arXiv https://arxiv.org/abs/2412.15932 [3] Publisher https://arxiv.org/abs/2412.15932

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