Imaging of critical correlations in optical lattices and atomic traps

Abstract

We consider critical space-time correlations in trapped utracold atoms and propose a method for their detection by the interference with a reference Bose-Einstein condensate. An important information about universal properties can be obtained despite non-uniformity and small sizes of atomic clouds. The advantage of this method is that the correlation properties of the interference pattern are robust with respect to expansion and are not, practically, affected by microscopic structure of underlying lattice including structural disorder. The non-destructive scheme allows measuring the space-time correlators of arbitrary order.

10 revtex pages, 5 figures, replaced with revised more detailed version

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices

Cited by in corpus (18)

• Many-Body Physics with Ultracold Gases
• Critical Behavior of a Trapped Interacting Bose Gas
• Full quantum distribution of contrast in interference experiments between interacting one dimensional Bose liquids
• Measuring the one-particle excitations of ultracold fermionic atoms by stimulated Raman spectroscopy
• Ultracold bosons with short-range interaction in regular optical lattices
• Coherent and dissipative dynamics at quantum phase transitions
• An Ideal Mean-Field Transition in a Modulated Cold Atom System
• First-principles quantum simulations of dissociation of molecular condensates: Atom correlations in momentum space
• Critical properties of a trapped interacting Bose gas
• Critical parameters from trap-size scaling in trapped particle systems
• Bose-Einstein condensate fluctuations versus an interparticle interaction
• Symplectic tomography of ultracold gases in tight-waveguides
• Two-body correlations and natural orbital tomography in ultracold bosonic systems of definite parity
• Cavity-enhanced detection of magnetic orders in lattice spin models
• Quantum supremacy of the many-body fluctuations in the occupations of the excited particle states in a Bose-Einstein-condensed gas
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Probing $n$-Spin Correlations in Optical Lattices
• Dicke superradiance as nondestructive probe for the state of atoms in optical lattices