Evolution from BCS to Berezinskii-Kosterlitz-Thouless Superfluidity in One-Dimensional Optical Lattices

Journal Article · Fri Oct 16 00:00:00 EDT 2009 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.103.165301· OSTI ID:21370766

Iskin, M ^[1]

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1. Joint Quantum Institute, NIST and University of Maryland, Gaithersburg, Maryland 20899-8423 (United States)

We analyze the finite temperature phase diagram of fermion mixtures in one-dimensional optical lattices as a function of interaction strength. At low temperatures, the system evolves from an anisotropic three-dimensional Bardeen-Cooper-Schrieffer (BCS) superfluid to an effectively two-dimensional Berezinskii-Kosterlitz-Thouless (BKT) superfluid as the interaction strength increases. We calculate the critical temperature as a function of interaction strength, and identify the region where the dimensional crossover occurs for a specified optical lattice potential. Finally, we show that the dominant vortex excitations near the critical temperature evolve from multiplane elliptical vortex loops in the three-dimensional regime to planar vortex-antivortex pairs in the two-dimensional regime, and we propose a detection scheme for these excitations.

• OSTI ID: 21370766
• Journal Information: Physical Review Letters, Vol. 103, Issue 16; Other Information: DOI: 10.1103/PhysRevLett.103.165301; (c) 2009 The American Physical Society; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BCS THEORY
CRITICAL TEMPERATURE
EVOLUTION
EXCITATION
FERMIONS
ONE-DIMENSIONAL CALCULATIONS
PHASE DIAGRAMS
POTENTIALS
SUPERFLUIDITY
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
DIAGRAMS
ENERGY-LEVEL TRANSITIONS
INFORMATION
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE