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Thermo field dynamics of quantum spin systems

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Abstract

Thermo field dynamics of quantum spin systems is formulated, which gives a new variational principle at finite temperatures. The KMS relation is reformulated as identities among thermal vacuum states. Path integral formulations of the thermal vacuum state are given, which yield a new “thermo field Monte Carlo method.” Thermo field dynamics of finite-spin systems are studied in detail as simple examples of the present method. Pertubational expansion methods of the thermal state and time-dependent state are also given.

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Suzuki, M. Thermo field dynamics of quantum spin systems. J Stat Phys 42, 1047–1070 (1986). https://doi.org/10.1007/BF01010461

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  • DOI: https://doi.org/10.1007/BF01010461

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