Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms

Details Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms

2005-05-25

arxiv.org/abs/cond-mat/0505617v3

Phys. Rev. Lett. 95, 240402 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, revised version

Scientific paper

10.1103/PhysRevLett.95.240402

The physical properties of arbitrary half-integer spins $F = N - 1/2$ fermionic cold atoms trapped in a one-dimensional optical lattice are investigated by means of a low-energy approach. Two different superfluid phases are found for $F \ge 3/2$ depending on whether a discrete symmetry is spontaneously broken or not: an unconfined BCS pairing phase and a confined molecular superfluid instability made of $2N$ fermions. We propose an experimental distinction between these phases for a gas trapped in an annular geometry. The confined-unconfined transition is shown to belong to the $Z_N$ generalized Ising universality class. We discuss on the possible Mott phases at $1/2N$ filling.

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