Many-body theories of density response for a strongly correlated Fermi gas

Abstract

Recent breakthroughs in the creation of ultra-cold atomic gases in the laboratory have ushered in major changes in physical science. Many novel experiments are now possible, with an unprecedented control of interaction, geometry and purity. Quantum many-body theory is facing severe challenges in quantitatively understanding new experimental results. Here, we review some recently developed theoretical techniques that provide successful predictions for density response of a strongly correlated atomic Fermi gas. These include the strong-coupling random-phase approximation theory, high-temperature quantum virial expansion, and asymptotically exact Tan relations applicable at large momentum.

11 pages, 10 figures, invited review paper for Frontiers of Physics (2012)

References in corpus (31)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Thermodynamics of the BCS-BEC crossover
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Bragg spectroscopy of a strongly interacting Fermi gas
• Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
• Virial expansion for a strongly correlated Fermi gas
• Measurement of the Entropy and Critical Temperature of a Strongly Interacting Fermi Gas
• The potential energy of a ${}^{40}$K Fermi gas in the BCS-BEC crossover
• Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
• Theory of RF-spectroscopy of strongly interacting Fermions
• Critical Temperature Curve in the BEC-BCS Crossover
• Coherence and clock shifts in ultracold Fermi gases with resonant interactions
• Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics
• Polarization Measurements and the Pairing Gap in the Universal Regime
• Pseudo-gap pairing in ultracold Fermi atoms
• Exact few-body results for strongly correlated quantum gases in two dimensions
• Pairing and Superfluid Properties of Dilute Fermion Gases at Unitarity
• Universal contact of strongly interacting fermions at finite temperatures
• Comparative study of strong coupling theories of a trapped Fermi gas at unitarity
• Mean field thermodynamics of a spin-polarized spherically trapped Fermi gas at unitarity
• Static structure factor of a strongly correlated Fermi gas at large momenta
• Finite temperature effects on the collapse of trapped Bose-Fermi mixtures
• Quantitative comparison between theoretical predictions and experimental results for Bragg spectroscopy of a strongly interacting Fermi superfluid
• Collective oscillations of a confined Bose gas at finite temperature in the random-phase approximation
• Dynamic response of strongly correlated Fermi gases in the quantum virial expansion

Cited by in corpus (3)

• Probing the dynamic structure factor of a neutral Fermi superfluid along the BCS-BEC crossover using atomic impurity qubits
• Dynamic structure factor of a strongly correlated Fermi superfluid within a density functional theory approach
• Collective excitation and stability of flow-induced gapless Fermi superfluids