Generic Evaluation of Relaxation Time for Quantum Many-Body Systems: Analysis of the System Size Dependence

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概要

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• General evaluation of the relaxation time to equilibrium remains as a subtle unsolved problem, partially because of its possible dependence on the specific features of models. We evaluate the relaxation time of expectation values for generic isolated quantum many-body systems, and especially show that it at most polynomially depends on the system size. This provides a first model-independent quantitative analysis of the relaxation time. The estimation holds when the Hamiltonian is non-integrable, the initial deviation of the quantity of interest is order of its spectral norm defined on a finite space, and the relaxation process is essentially monotonic.

• 2013-04-15

著者

• Monnai Takaaki

  Department Of Applied Physics Waseda University

• Monnai Takaaki

  Department of Applied Physics, Osaka City University, Osaka 558-8585, Japan

関連論文

• Formalisms of Quantum Fluctuation Theorem(3) Chaos and nonlinear dynamics in dissipative systems(including BEC and pattern formations), Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems)
• Generic Evaluation of Relaxation Time for Quantum Many-Body Systems: Analysis of the System Size Dependence

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