Approximate thermofield dynamics of interacting fermions

We analyze the many-particle Schrodinger equation for fermions in a thermal ensemble by introducing an exponential operator expansion, defined in the context of thermofield dynamics. The expansion is optimized variationally at each time step through changes in the basis of excitations, which leads t...

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Bibliographic Details
Published in:arXiv.org 2020-01
Main Author: Baker, Edward B
Format: Article
Language:English
Subjects:
Differential equations
Fermions
Low temperature
Mathematical analysis
Schrodinger equation
Time dependence
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Summary:We analyze the many-particle Schrodinger equation for fermions in a thermal ensemble by introducing an exponential operator expansion, defined in the context of thermofield dynamics. The expansion is optimized variationally at each time step through changes in the basis of excitations, which leads to a method of generating approximate differential equations to solve the time dependent problem, and can also be used to cool the system in imaginary time. The method is applied for a specific set of basis transformations and truncation scheme, leading to an explicit set of differential equations that reduce to the Hartree Fock solution in the low temperature limit. This procedure can also be generalized to include quantum correlation, which will be pursued in a future publication.
ISSN:2331-8422