Moment of Inertia and Quadrupole Response Function of a Trapped Superfluid

Abstract

We derive an explicit relationship between the moment of inertia and the quadrupole response function of an interacting gas confined in a harmonic trap. The relationship holds for both Bose and Fermi systems and is well suited to reveal the effects of irrotationality of the superfluid motion. Recent experimental results on the scissors mode are used to extract the value of the moment of inertia of a trapped Bose gas and to point out the deviations from the rigid value due to superfluidity.

6 pages

References in corpus (7)

• Vortex formation in a stirred Bose-Einstein condensate
• Vortices in a Bose-Einstein Condensate
• Evidence for a critical velocity in a Bose-Einstein condensed gas
• Observation of the scissors mode and superfluidity of a trapped Bose-Einstein condensed gas
• Scissors mode and superfluidity of a trapped Bose-Einstein condensed gas
• Collective excitations of a trapped degenerate Fermi gas
• Bose-Einstein condensation in a rotating anisotropic TOP trap

Cited by in corpus (33)

• Expansion of an interacting Fermi gas
• Evidence of superfluidity in a dipolar supersolid from non-classical rotational inertia
• Temperature Dependence of Damping and Frequency Shifts of the Scissors Mode of a trapped Bose-Einstein Condensate
• Geometric squeezing into the lowest Landau level
• Low energy Collective Modes of a Superfluid Trapped atomic Fermi Gas
• Helium nanodroplets and trapped Bose-Einstein condensates as prototypes of finite quantum fluids
• Finite-temperature simulations of the scissors mode in Bose-Einstein condensed gases
• $\alpha$-particle condensate states in ${}^{16}$O
• Direct observation of irrotational flow and evidence of superfluidity in a rotating Bose-Einstein condensate
• Collisionless sound in a uniform two-dimensional Bose gas
• Observation of a quenched moment of inertia in a rotating strongly interacting Fermi gas
• Collective excitation frequencies and stationary states of trapped dipolar Bose-Einstein condensates in the Thomas-Fermi regime
• Superfluidity of an interacting trapped quasi-2D Bose gas
• Laser probing of Cooper-paired trapped atoms
• Dynamical thermalization and vortex formation in stirred 2D Bose-Einstein condensates
• Consequence of superfluidity on the expansion of a rotating Bose-Einstein condensate
• Collisions in zero temperature Fermi gases
• Hydrodynamic VS collisionless dynamics of a 1D harmonically trapped Bose gas
• Enhancement of the scissors mode of an expanding Bose-Einstein condensate
• Moment of Inertia and Dynamical Rotational Response of a Supersolid Dipolar Gas
• Slow rotation of a superfluid trapped Fermi gas
• Competition between Vortex Unbinding and Tunneling in an Optical Lattice
• Rotating Fermi gases in an anharmonic trap
• Finite temperature spin dynamics of a two-dimensional Bose-Bose atomic mixture
• Two-fluid model for a rotating trapped Fermi gas in the BCS phase
• Finite temperature theory of the scissors mode in a Bose gas using the moment method
• Hysteresis effects in rotating Bose-Einstein condensates
• The Moment of Inertia and the Scissors Mode of a Bose-condensed Gas
• Stationary states of Bose-Einstein condensed atoms rotating in an asymmetric ring potential
• Gyroscopic motion of superfluid trapped atomic condensates
• Nonequilibrium relaxation in neutral BCS superconductors: Ginzburg-Landau approach with Landau damping in real time
• Dynamics of quantum vortices at finite temperature
• Quantitative Probe of Pairing Correlations in a Cold Fermionic Atom Gas