Journal
PHYSICAL REVIEW A
Volume 87, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.87.033616
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Funding
- EPSRC [EP/H00369X/2]
- Carlsberg Foundation Fellowship
- Marie Curie Intra European grant within the 7th European Community Framework Programme
- Engineering and Physical Sciences Research Council [EP/H00369X/2] Funding Source: researchfish
- EPSRC [EP/H00369X/2] Funding Source: UKRI
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We investigate the highly polarized limit of a two-dimensional Fermi gas, where we effectively have a single spin-down impurity atom immersed in a spin-up Fermi sea. By constructing variational wave functions for the impurity, we map out the ground state phase diagram as a function of mass ratio m(up arrow)/m(down arrow) and interaction strength. In particular, we determine when it is favorable for the dressed impurity (polaron) to bind particles from the Fermi sea to form a dimer, trimer, or even larger clusters. Similarly to three dimensions, we find that the Fermi sea favors the trimer state so that it exists for m(up arrow)/m(down arrow) less than the critical mass ratio for trimer formation in the vacuum. We also find a region where dimers have finite momentum in the ground state, a scenario that corresponds to the Fulde-Ferrell-Larkin-Ovchinnikov superfluid state in the limit of large spin imbalance. For equal masses (m(up arrow) = m(down arrow)), we compute rigorous bounds on the polaron-dimer transition, and we show that the polaron energy and residue is well captured by the variational approach, with the former quantity being in good agreement with experiment. When there is a finite density of impurities, we find that this polaron-dimer transition is preempted by a first-order superfluid-normal transition at zero temperature, but it remains an open question what happens at finite temperature. DOI: 10.1103/PhysRevA.87.033616
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