Phase transitions in the boson-fermion resonance model in one dimension

Details Phase transitions in the boson-fermion resonance model in one dimension Phase transitions in the boson-fermion resonance model in one dimension

2006-01-12

arxiv.org/abs/cond-mat/0601269v1

Phys. Rev. A 73, 063611 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

31 pages, 8 EPS figures, RevTeX 4, long version of cond-mat/0505706

Scientific paper

10.1103/PhysRevA.73.063611

We study 1D fermions with photoassociation or with a narrow Fano-Feshbach resonance described by the Boson-Fermion resonance model. Using thebosonization technique, we derive a low-energy Hamiltonian of the system. We show that at low energy, the order parameters for the Bose Condensation and fermion superfluidity become identical, while a spin gap and a gap against the formation of phase slips are formed. As a result of these gaps, charge density wave correlations decay exponentially in contrast with the phases where only bosons or only fermions are present. We find a Luther-Emery point where the phase slips and the spin excitations can be described in terms of pseudofermions. This allows us to provide closed form expressions of the density-density correlations and the spectral functions. The spectral functions of the fermions are gapped, whereas the spectral functions of the bosons remain gapless. The application of a magnetic field results in a loss of coherence between the bosons and the fermion and the disappearance of the gap. Changing the detuning has no effect on the gap until either the fermion or the boson density is reduced to zero. Finally, we discuss the formation of a Mott insulating state in a periodic potential. The relevance of our results for experiments with ultracold atomic gases subject to one-dimensional confinement is also discussed.

Affiliated with

Also associated with

No associations

Rating

Phase transitions in the boson-fermion resonance model in one dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Phase transitions in the boson-fermion resonance model in one dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase transitions in the boson-fermion resonance model in one dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-495915