Criticality in Trapped Atomic Systems

Abstract

We discuss generic limits posed by the trap in atomic systems on the accurate determination of critical parameters for second-order phase transitions, from which we deduce optimal protocols to extract them. We show that under current experimental conditions the in-situ density profiles are barely suitable for an accurate study of critical points in the strongly correlated regime. Contrary to recent claims, the proper analysis of time-of-fight images yields critical parameters accurately.

4 pages, 3 figures; added references

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• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Ultracold bosons with short-range interaction in regular optical lattices
• Coherent and dissipative dynamics at quantum phase transitions
• Finite temperature study of bosons in a two dimensional optical lattice
• Equilibrium and off-equilibrium trap-size scaling in 1D ultracold bosonic gases
• The equation of state of ultracold Bose and Fermi gases: a few examples
• Techniques to measure quantum criticality in cold atoms
• Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
• Quantum Criticality from in-situ Density Imaging
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• Fast production of Bose-Einstein condensates of metastable Helium
• Time-of-flight patterns of ultra-cold bosons in optical lattices in various Abelian artificial magnetic field gauges
• Measuring The Heat Capacity in a Bose-Einstein Condensation using Global Variables
• The Massive Goldstone (Higgs) mode in two-dimensional ultracold atomic lattice systems
• Critical parameters from trap-size scaling in trapped particle systems
• Information measures for a local quantum phase transition: Lattice fermions in a one-dimensional harmonic trap
• Measuring the equation of state of trapped ultracold bosonic systems in an optical lattice with in-situ density imaging
• Mott-insulator-to-superconductor transition in a two-dimensional superlattice
• Quasi-long-range order in trapped systems
• Dimensional crossover of Bose-Einstein condensation phenomena in quantum gases confined within slab geometries
• Quantum criticality in disordered bosonic optical lattices
• Comment on "Direct Mapping of the Finite Temperature Phase Diagram of Strongly Correlated Quantum Models" by Q. Zhou, Y. Kato, N. Kawashima, and N. Trivedi, Phys. Rev. Lett. 103, 085701 (2009)
• Revealing the Condensate and Non-Condensate Distributions in the Inhomogeneous Bose-Hubbard Model
• Universal scaling effects of a temperature gradient at first-order transitions
• Charge excitations across a superconductor-insulator transition
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Information measures for a local quantum phase transition: Lattice bosons in a one-dimensional harmonic trap
• Critical behavior at the spatial boundary of a trapped inhomogeneous Bose-Einstein condensate
• Critical dynamics in trapped particle systems
• Quantitative Studies on the Quantum Critical Regime near Superfluid to Mott Insulator Transition
• Quantum phase transition of the Bose-Hubbard model on cubic lattice with anisotropic hopping