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Trapped Ion Quantum Computing Quantum Thermodynamics

The Basis of the Second Law of Thermodynamics in Quantum Field Theory

arXiv
Authors: D. Snoke, G. Liu, S. Girvin

Year

2011

Paper ID

29238

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

Abstract

The result that closed systems evolve toward equilibrium is derived entirely on the basis of quantum field theory for a model system, without invoking any of the common extra-mathematical notions of particle trajectories, collapse of the wave function, measurement, or intrinsically stochastic processes. The equivalent of the Stosszahlansatz of classical statistical mechanics is found, and has important differences from the classical version. A novel result of the calculation is that interacting many-body systems in the infinite volume limit evolve toward diagonal states (states with loss of all phase information) on the the time scale of the interaction time. The connection with the onset of off-diagonal phase coherence in Bose condensates is discussed.

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  • The result that closed systems evolve toward equilibrium is derived entirely on the basis of quantum field theory for a model system, without invoking any of the common...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1112.3009 [2] arXiv https://arxiv.org/abs/1112.3009 [3] Publisher https://arxiv.org/abs/1112.3009

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