Far-from-equilibrium dynamics of an ultracold Fermi gas

Abstract

Nonequilibrium dynamics of an N-fold spin-degenerate ultracold Fermi gas is described in terms of beyond-mean-field Kadanoff-Baym equations for correlation functions. Using a nonperturbative expansion in powers of 1/N, the equations are derived from the two-particle irreducible effective action in Schwinger-Keldysh formulation. The definition of the nonperturbative approximation on the level of the effective action ensures vital conservation laws as, e.g., for the total energy and particle number. As an example, the long-time evolution of a homogeneous, twofold spin-degenerate Fermi gas is studied in one spatial dimension after an initial preparation far from thermal equilibrium. Analysis of the fluctuation-dissipation relation shows that, at low energies, the gas does not thermalise.

arXiv comment20 pages, 11 figures

References in corpus (30)

• Cold bosonic atoms in optical lattices
• Theory of ultracold Fermi gases
• Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
• Quantum Quenches in Extended Systems
• Phase space representation of quantum dynamics
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Prethermalization
• Interaction Quench in the Hubbard model
• Introduction to Nonequilibrium Quantum Field Theory
• Strongly correlated fermions after a quantum quench
• Controlled nonperturbative dynamics of quantum fields out of equilibrium
• Far-from-equilibrium dynamics with broken symmetries from the 2PI-1/N expansion
• Nonthermal steady states after an interaction quench in the Falicov-Kimball model
• n-Particle irreducible effective action techniques for gauge theories
• Thermalization of fermionic quantum fields
• Formation of Pairing Fields in Resonantly Coupled Atomic and Molecular Bose-Einstein Condensates
• Microscopic Treatment of Binary Interactions in the Non-Equilibrium Dynamics of Partially Bose-condensed Trapped Gases
• A microscopic quantum dynamics approach to the dilute condensed Bose gas
• Quantum versus classical statistical dynamics of an ultracold Bose gas
• Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
• Nonperturbative dynamical many-body theory of a Bose-Einstein condensate
• Matter Wave Turbulence: Beyond Kinetic Scaling
• Range of validity of transport equations
• Functional renormalization group approach to the BCS-BEC crossover
• Far-from-equilibrium quantum many-body dynamics
• Pair dynamics in the formation of molecules in a Bose-Einstein condensate
• Relaxation dynamics of an exactly solvable electron-phonon model
• Ultracold gases far from equilibrium
• Non-equilibrium dynamics of a Bose-Einstein condensate in an optical lattice

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• Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach
• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
• Non-equilibrium Quantum Spin Dynamics from 2PI Functional Integral Techniques in the Schwinger Boson Representation
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
• Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
• Mechanism for sound dissipation in a two-dimensional degenerate Fermi gas
• Systematic large flavor fTWA approach to interaction quenches in the Hubbard model