2016/10/19 by Sudeep Kumar Ghosh, S. K. Ghosh, Umesh K. Yadav
Physics and Astronomy · #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Gauge theory #Lattice (music) #Optical lattice #Physics #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Strong Light-Matter Interactions #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.94.043634
published as Phys. Rev. A 94, 043634 (2016)
arxiv created 2016/10/19 · openalex publication_date 2016/10/19 · arxiv updated 2016/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.