Spectroscopy of the soliton lattice formation in quasi-one-dimensional fermionic superfluids with population imbalance

Journal Article · Thu Sep 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.033609· OSTI ID:22068754

Lutchyn, Roman M ^[1]; Dzero, Maxim ^[1]; Yakovenko, Victor M ^[1]

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1. Joint Quantum Institute and Condensed Matter Theory Center, University of Maryland, College Park, Maryland 20742-4111 (United States)

Motivated by recent experiments in low-dimensional trapped fermionic superfluids, we study a quasi-one-dimensional (quasi-1D) superfluid with a population imbalance between two hyperfine states using an exact mean-field solution for the order parameter. When an effective 'magnetic field' exceeds a critical value, the superfluid order parameter develops spatial inhomogeneity in the form of a soliton lattice. The soliton lattice generates a band of quasiparticle states inside the energy gap, which originate from the Andreev bound states localized at the solitons. Emergence of the soliton lattice is accompanied by formation of a spin-density wave, with the majority fermions residing at the points in space where the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) order parameter vanishes. We discuss possibilities for experimental detection of the quasi-1D FFLO state using elastic and inelastic optical Bragg scattering and radiofrequency spectroscopy. We show that these measurements can provide necessary information for unambiguous identification of the spatially inhomogeneous quasi-1D FFLO state and the soliton lattice formation.

• OSTI ID: 22068754
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOUND STATE
DENSITY
ENERGY GAP
FERMIONS
MAGNETIC FIELDS
MATHEMATICAL SOLUTIONS
MEAN-FIELD THEORY
ONE-DIMENSIONAL CALCULATIONS
ORDER PARAMETERS
POPULATION INVERSION
RADIOWAVE RADIATION
SCATTERING
SOLITONS
SPACE
SPECTROSCOPY
SPIN
SUPERFLUIDITY
TRAPPING