Energy and contact of the one-dimensional Fermi polaron at zero and finite temperature

Abstract

We use the T-matrix approach for studying highly polarized homogeneous Fermi gases in one dimension with repulsive or attractive contact interactions. Using this approach, we compute ground state energies and values for the contact parameter that show excellent agreement with exact and other numerical methods at zero temperature, even in the strongly interacting regime. Furthermore, we derive an exact expression for the value of the contact parameter in one dimension at zero temperature. The model is then extended and used for studying the temperature dependence of ground state energies and the contact parameter.

4 pages, 4 figures, 4 pages of supplementary material

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Verification of universal relations in a strongly interacting Fermi gas
• Normal state of highly polarized Fermi gases: Full many-body treatment
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Highly polarized Fermi gases: One-dimensional case
• Polaron-like effects in a one-dimensional optical lattice

Cited by in corpus (28)

• Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
• Universal many-body response of heavy impurities coupled to a Fermi sea
• Attractive Fermi polarons at nonzero temperature with finite impurityconcentration
• Repulsive Fermi Polarons and Their Induced Interactions in Binary Mixtures of Ultracold Atoms
• Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium
• Thermal crossover, transition, and coexistence in Fermi polaronic spectroscopies
• Universal Tan relations for quantum gases in one dimension
• Critical behaviours of contact near phase transitions
• Incorporating exact two-body propagators for zero-range interactions into $N$-body Monte Carlo simulations
• Crossover polarons in a strongly interacting Fermi superfluid
• Breakdown of the Fermi polaron description near Fermi degeneracy at unitarity
• Thermodynamics, contact and density profiles of the repulsive Gaudin-Yang model
• Zero temperature momentum distribution of an impurity in a polaron state of one-dimensional Fermi and Tonks-Girardeau gases
• Harmonically trapped Fermi gas: Temperature dependence of the Tan contact
• One-dimensional Fermi polaron in a combined harmonic and periodic potential
• Momentum-resolved spectroscopy of a Fermi liquid
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Tan's contact scaling behaviour for trapped Lieb-Liniger bosons: from two to many
• Quench-induced delocalization
• Mobile impurity in a one-dimensional gas at finite temperatures
• Mobile Spin Impurity in an Optical Lattice
• Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas
• A Non-Gaussian Variational Approach to Fermi Polarons in One- and Two-dimensional Lattices
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
• Dynamical symmetry and pair tunneling in a one-dimensional Bose gas colliding with a mobile impurity
• Momentum Evolution Numerics of an Impurity in a Quantum Quench
• Fermi-liquid behaviors in three-dimensional polaron system with tunable dispersion
• Impurity in a zero-temperature three-dimensional Fermi gas