Fermi polaron in a one-dimensional quasi-periodic optical lattice: the simplest many-body localization challenge
arXiv:1512.08665 · doi:10.1103/PhysRevA.93.053601
Abstract
We theoretically investigate the behavior of a moving impurity immersed in a sea of fermionic atoms that are confined in a quasi-periodic (bichromatic) optical lattice, within a standard variational approach. We consider both repulsive and attractive contact interactions for such a simplest many-body localization problem of Fermi polarons. The variational approach enables us to access relatively large systems and therefore may be used to understand many-body localization in the thermodynamic limit. The energy and wave-function of the polaron states are found to be strongly affected by the quasi-random lattice potential and their experimental measurements (i.e., via radio-frequency spectroscopy or quantum gas microscope) therefore provide a sensitive way to underpin the localization transition. We determine a phase diagram by calculating two critical quasi-random disorder strengths, which correspond to the onset of the localization of the ground-state polaron state and the many-body localization of all polaron states, respectively. Our predicted phase diagram could be straightforwardly examined in current cold-atom experiments.
8 pages, 5 figures
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- Crossover polarons in a strongly interacting Fermi superfluid
- Many-body localization in XY spin chains with long-range interactions: An exact diagonalization study
- Mean-field phases of an ultracold gas in a quasicrystalline potential
- Multidimensional Spectroscopy of Time-Dependent Impurities in Ultracold Fermions
- Spin Localization of a Fermi Polaron in a Quasirandom Optical Lattice
- Polaron in a non-abelian Aubry-André-Harper model with \textit{p}-wave superfluidity
- Repulsive Fermi and Bose Polarons in Quantum Gases