Bose quantum fluids at finite temperatures: A variational density-matrix approach

Journal Article · Sun Nov 01 04:00:00 EST 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.46.10957· OSTI ID:6996309

Clements, B E ^[1]; Campbell, C E ^[2]

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1. Center for Theoretical Physics and Department of Physics, Texas A M University, College Station, Texas 77843 (United States)
2. School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455 (United States)

The variational density-matrix approach introduced by Campbell, Kuerten, Ristig, and Senger (Phys. Rev. B 30, 3728 (1984)), to study finite-temperature Bose fluids is reformulated to avoid dealing directly with the entropy of the trial density matrix. We obtain exact expressions for the Euler-Lagrange equations for a finite-temperature trial statistical density matrix, which is the simplest finite-temperature generalization of a Jastrow trial ground-state wave function. A multicomponent hypernetted-chain method is developed to solve approximately these Euler-Lagrange equations at low temperatures. In leading order the results are shown to be equivalent to those obtained by Campbell {ital et} {ital al}. The current formalism provides a scheme to improve results of the previous approach.

• OSTI ID: 6996309
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 46:17; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

665420* -- Superfluidity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOSONS
DENSITY MATRIX
ENTROPY
FLUIDS
MATRICES
PHYSICAL PROPERTIES
QUANTUM FLUIDS
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES
VARIATIONAL METHODS