Langevin equations for interacting fermions and Cooper-like pairing in trapped one-dimensional fermions

Plimak, L. I., Collett, M. J. and Olsen, M. K. (2001) Langevin equations for interacting fermions and Cooper-like pairing in trapped one-dimensional fermions. Physical Review A, 64 6: . doi:10.1103/PhysRevA.64.063409

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Author Plimak, L. I.
Collett, M. J.
Olsen, M. K.
Title Langevin equations for interacting fermions and Cooper-like pairing in trapped one-dimensional fermions
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2001-12-01
Year available 2001
Sub-type Article (original research)
DOI 10.1103/PhysRevA.64.063409
Open Access Status File (Publisher version)
Volume 64
Issue 6
Total pages 15
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract Momentum correlations in a one-dimensional equilibrium ensemble of trapped fermions, with a point interaction between particles of opposite spin have been studied. In the degenerate regime correlations were observed between fermions with opposite spins and momenta, similar to Cooper pairing. These correlations appear as soon as the temperature is below the Fermi energy, which is a much less stringent condition than that of the BCS transition proper. Calculations are carried out in both perturbative and non-perturbative regimes. To achieve the latter. it is shown that interacting fermionic dynamics may be solved as a stochastic linear transformation of Grassmann algebra generators, much in the way random c-number paths are introduced in the conventional quantum stochastics of bosons. Importantly, the method thus emerging is inherently free of the sign problem.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Optical-detection
Harmonic Trap
Gas
Atoms
Li-6
Transition
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown
Additional Notes online journal

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
 
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Created: Thu, 20 Sep 2007, 02:04:43 EST