A proposal for measuring correlation functions in interacting gases

Abstract

We propose an experimental method that allows for scaling of all the diagonal correlation functions (such as the density and pair correlation function) during the expansion of harmonically trapped cold atomic gases with arbitrary interactions even if the trapping is anisotropic. To do this we require that the interaction be tunable by the use of a Feshbach resonance and that the trapping potential can be manipulated independently along the axial and radial directions. This permits a much greater accuracy and resolution in measurements of correlation functions. We explain the explicit control procedure, outline the scaling ansatz that we use and briefly discuss the systems where it could be applied as well as possible experimental obstacles to its implementation.

References in corpus (8)

• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Evolution of a Bose-condensed gas under variations of the confining potential
• Hanbury Brown Twiss effect for ultracold quantum gases
• Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise
• Correlations and Counting Statistics of an Atom Laser
• Measurement of the Spatial Correlation Function of Phase Fluctuating Bose-Einstein Condensates
• Theory for a Hanbury Brown Twiss experiment with a ballistically expanding cloud of cold atoms
• Pair correlations of an expanding superfluid Fermi gas

Cited by in corpus (5)

• Number of closed-channel molecules in the BEC-BCS crossover
• Scaling approach to quantum non-equilibrium dynamics of many-body systems
• Shortcuts to adiabaticity in the strongly-coupled regime: nonadiabatic control of a unitary Fermi gas
• The Unitary Gas and its Symmetry Properties
• Unsupervised and supervised learning of interacting topological phases from single-particle correlation functions