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Synthetic-Gauge-Field-Induced Resonances and Fulde-Ferrell-Larkin-Ovchinnikov States in a One-Dimensional Optical Lattice

Ghosh, Sudeep Kumar, Yadav, Umesh K. (2016) Synthetic-Gauge-Field-Induced Resonances and Fulde-Ferrell-Larkin-Ovchinnikov States in a One-Dimensional Optical Lattice. PHYSICAL REVIEW A, . ISSN 1050-2947. (doi:10.1103/PhysRevA.94.043634) (KAR id:75717)

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https://doi.org/10.1103/PhysRevA.94.043634

Abstract

Coherent coupling generated by laser light between the hyperfine states of atoms, loaded in a one-dimensional (1D) optical lattice, gives rise to the “synthetic dimension” system which is equivalent to a Hofstadter model in a finite strip of square lattice. An SU(M) symmetric attractive interaction in conjunction with the synthetic gauge field present in this system gives rise to unusual effects. We study the two-body problem of the system using the

T-matrix formalism. We show that the two-body ground states pick up a finite momentum and can transform into two-body resonancelike features in the scattering continuum with a large change in the phase shift. As a result, even for this 1D system, a critical amount of attraction is needed to form bound states. These phenomena have spectacular effects on the many-body physics of the system analyzed using the numerical density matrix renormalization group technique. We show that the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states form in the system even for a “balanced” gas and the FFLO momentum of the pairs scales linearly with flux. Considering suitable measures, we investigate interesting properties of these states. We also discuss a possibility of realization of a generalized interesting topological model, called the Creutz ladder.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevA.94.043634
Uncontrolled keywords: Physics of Quantum Materials
Divisions: Faculties > Sciences > School of Physical Sciences
Depositing User: Sudeep Kumar Ghosh
Date Deposited: 08 Aug 2019 10:14 UTC
Last Modified: 08 Aug 2019 10:49 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/75717 (The current URI for this page, for reference purposes)
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