Mobile impurity in a one-dimensional gas at finite temperatures
arXiv:2202.07657 · doi:10.1103/PhysRevA.106.023305
Abstract
We consider the McGuire model of a one-dimensional gas of free fermions interacting with a single impurity. We compute the static one-body function and momentum distribution of the impurity at finite temperatures. The results involve averages over Fredholm determinants that we further analyse using the effective form factors approach. With this approach, we derive the large-distance behaviour of the one-body function, which takes the form of an averaged exponential decay. This method allows us to study an experimentally important regime of small momenta of the impurity's momentum distribution. We also consider the one-body function at short distances and compute finite temperature Tan's contact.
References in corpus (18)
- Many-Body Physics with Ultracold Gases
- Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
- Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
- Verification of universal relations in a strongly interacting Fermi gas
- Universal theory of nonlinear Luttinger liquids
- Spin dynamics in a one-dimensional ferromagnetic Bose gas
- Measurement of the Homogeneous Contact of a Unitary Fermi gas
- Precise determination of the structure factor and contact in a unitary Fermi gas
- Highly polarized Fermi gases in two dimensions
- Spectral response and contact of the unitary Fermi gas
- Quantum Monte-Carlo study of the Bose polaron problem in a one-dimensional gas with contact interactions
- Quantum Breathing of an Impurity in a One-dimensional Bath of Interacting Bosons
- Highly polarized Fermi gases: One-dimensional case
- Impurity Green's function of a one-dimensional Fermi-gas
- Fermi polarons at finite temperature: Spectral function and rf-spectroscopy
- Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
- Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe
- Effective free-fermionic form factors and the XY spin chain