Decay of polarons and molecules in a strongly polarized Fermi gas

Abstract

The ground state of an impurity immersed in a Fermi sea changes from a polaron to a molecule as the interaction strength is increased. We show here that the coupling between these two states is strongly suppressed due to a combination of phase space effects and Fermi statistics, and that it vanishes much faster than the energy difference between the two states, thereby confirming the first order nature of the polaron-molecule transition. In the regime where each state is metastable, we find quasiparticle lifetimes which are much longer than what is expected for a usual Fermi liquid. Our analysis indicates that the decay rates are sufficiently slow to be experimentally observable.

arXiv commentVersion accepted in PRL. Added discussion of three-body losses to deeply bound molecular states

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• Polaron-like effects in a one-dimensional optical lattice
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• Emergence of Crystalline Few-body Correlations in Mass-imbalanced Fermi Polarons
• Exact results for polaron and molecule in one-dimensional spin-1/2 Fermi gas
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• Strong photon interactions from weakly interacting particles
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• Non-Hermitian Ferromagnetism in an Ultracold Fermi Gas
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• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions
• Quantum Computing Demonstration of the Polaron-Molecule Transition on a NISQ Device
• Weak coupling limit for the ground state energy of the 2D Fermi polaron