Non-Equilibrium Dynamics of Trapped Fermi gases with Time-Dependent interactions: Consequences of Conformal Symmetry and Power-Law Damping

Conformal symmetry greatly restricts the dynamics of scale invariant quantum gases. This symmetry is extremely important as it can preclude entropy production. The absence of entropy production for scale invariant gases can be readily detected in undamped large amplitude oscillations in quenched harmonic traps. Away from resonance there will be damping due to the broken conformal symmetry, which depends not only on the nearby scale invariant point but also the time-dependence of the scale breaking interactions. The time-dependent scale breaking interactions allow one to tune the non-equilibrium signatures of broken conformal symmetry, and can even lead to power-law damping of the the large amplitude oscillations..