Collective excitations of an imbalanced fermion gas in a 1D optical lattice
R. Mendoza, Mauricio Fortes, M. A. Sol\'is
TL;DR
This paper investigates collective excitations in an imbalanced fermion gas within a 1D optical lattice, revealing a rotonic branch and analyzing phase stability of exotic superfluid phases.
Contribution
It introduces a detailed analysis of collective excitations and phase diagrams for a population-imbalanced fermion gas in a 1D optical lattice using the Bethe-Salpeter equation.
Findings
Identification of a rotonic branch in excitation spectrum
Phase diagram of Fulde-Farrell-Larkin-Ovchinnikov and Sarma phases
Stability regions of different superfluid phases
Abstract
The collective excitations that minimize the Helmholtz free energy of a population-imbalanced mixture of a Li gas loaded in a quasi one-dimensional optical lattice are obtained. These excitations reveal a rotonic branch after solving the Bethe-Salpeter equation under a generalized random phase approximation based on a single-band Hubbard Hamiltonian. The phase diagram describing stability regions of Fulde-Farrell-Larkin-Ovchinnikov and Sarma phases is also analyzed.
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