Origin of the Canonical Ensemble: Thermalization with Decoherence
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概要
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We solve the time-dependent Schrödinger equation for the combination of a spin system interacting with a spin bath environment. In particular, we focus on the time development of the reduced density matrix of the spin system. Under normal circumstances we show that the environment drives the reduced density matrix to a fully decoherent state, and furthermore the diagonal elements of the reduced density matrix approach those expected for the system in the canonical ensemble. We show one exception to the normal case is if the spin system cannot exchange energy with the spin bath. Our demonstration does not rely on time-averaging of observables nor does it assume that the coupling between system and bath is weak. Our findings show that the canonical ensemble is a state that may result from pure quantum dynamics, suggesting that quantum mechanics may be regarded as the foundation of quantum statistical mechanics.
- 2009-09-15
著者
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De Raedt
Department Of Applied Physics Materials Science Center University Of Groningen
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Yuan Shengjun
Institute of Molecules and Materials, Radboud University of Nijmegen, NL-6525ED Nijmegen, The Netherlands
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Katsnelson Mikhail
Institute of Molecules and Materials, Radboud University of Nijmegen, NL-6525ED Nijmegen, The Netherlands
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De Raedt
Department of Applied Physics, Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, NL-9747AG Groningen, The Netherlands
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