dorsal/arxiv
View SchemaThermofield Dynamics of Time-Dependent Boson and Fermion Systems
| Authors | Sang Pyo Kim, F. C. Khanna |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308053 |
| URL | https://arxiv.org/abs/quant-ph/0308053 |
Abstract
We formulate the thermofield dynamics for time-dependent systems by combining the Liouville-von Neumann equation, its invariant operators, and the basic notions of thermofield dynamics. The new formulation is applied to time-dependent bosons and fermions by using the time-dependent annihilation and creation operators that satisfy the Liouville-von Neumann equation. It is shown that the thermal state is the time- and temperature-dependent vacuum state and a general formula is derived to calculate the thermal expectation value of operators.
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"date_created": "2026-03-02T18:01:59.940000Z",
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"abstract": "We formulate the thermofield dynamics for time-dependent systems by combining\nthe Liouville-von Neumann equation, its invariant operators, and the basic\nnotions of thermofield dynamics. The new formulation is applied to\ntime-dependent bosons and fermions by using the time-dependent annihilation and\ncreation operators that satisfy the Liouville-von Neumann equation. It is shown\nthat the thermal state is the time- and temperature-dependent vacuum state and\na general formula is derived to calculate the thermal expectation value of\noperators.",
"arxiv_id": "quant-ph/0308053",
"authors": [
"Sang Pyo Kim",
"F. C. Khanna"
],
"categories": [
"quant-ph"
],
"title": "Thermofield Dynamics of Time-Dependent Boson and Fermion Systems",
"url": "https://arxiv.org/abs/quant-ph/0308053"
},
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