Quantum Criticality from in-situ Density Imaging
arXiv:1009.5155 · doi:10.1103/PhysRevA.83.031605
Abstract
We perform large-scale Quantum Monte Carlo (QMC) simulations for strongly interacting bosons in a 2D optical lattice trap, and confirm an excellent agreement with the benchmarking in-situ density measurements by the Chicago group [1]. We further present a general finite temperature phase diagram both for the uniform and the trapped systems, and demonstrate how the universal scaling properties near the superfluid(SF)-to-Mott insulator(MI) transition can be observed by analysing the in-situ density profile. The characteristic temperature to find such quantum criticality is estimated to be of the order of the single-particle bandwidth, which should be achievable in the present or near future experiments. Finally, we examine the validity regime of the local fluctuation-dissipation theorem (FDT), which can be a used as a thermometry in the strongly interacting regime.
4 pages
References in corpus (20)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Monte Carlo study of two-dimensional Bose-Hubbard model
- Observation of scale invariance and universality in two-dimensional Bose gases
- Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator
- Critical Behavior of a Trapped Interacting Bose Gas
- Expansion of a quantum gas released from an optical lattice
- Slow Mass Transport and Statistical Evolution of An Atomic Gas Across the Superfluid-Mott Insulator Transition
- Cooling and Near-equilibrium Dynamics of Atomic Gases Across the Superfluid-Mott Insulator Transition
- State diagrams for harmonically trapped bosons in optical lattices
- Trap-size scaling in confined particle systems at quantum transitions
- Engineering Local optimality in Quantum Monte Carlo algorithms
- Signature of Quantum Criticality in the Density Profiles of Cold Atom Systems
- Phases of a 2D Bose Gas in an Optical Lattice
- Criticality in Trapped Atomic Systems
- Direct mapping of the finite temperature phase diagram of strongly correlated quantum models
- Measuring the equation of state of trapped ultracold bosonic systems in an optical lattice with in-situ density imaging
- 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)
- Quantum fluctuations and condensate fraction during the time-of-flight expansion
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- Fermi gases in one dimension: From Bethe Ansatz to experiments
- Quantum critical behavior of ultracold atoms in two-dimensional optical lattices
- Coherent and dissipative dynamics at quantum phase transitions
- Universal thermodynamics of a two-dimensional Bose gas
- Finite temperature study of bosons in a two dimensional optical lattice
- Techniques to measure quantum criticality in cold atoms
- Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
- Exploring quantum criticality based on ultracold atoms in optical lattices
- Thermodynamics vs. local density fluctuations in the metal/Mott-insulator crossover
- Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
- Critical parameters from trap-size scaling in trapped particle systems
- Quantum criticality of a one-dimensional Bose-Fermi mixture
- Quantum XY criticality in a two-dimensional Bose gas near the Mott transition
- Quantum criticality of a Bose gas in an optical lattice near the Mott transition
- Dimensional crossover of Bose-Einstein condensation phenomena in quantum gases confined within slab geometries
- Thermal bosons in 3d optical lattices via tensor networks
- Quantum phases of dipolar bosons in multilayer optical lattice
- Quantum criticality in disordered bosonic optical lattices
- Critical correlations in an ultracold Bose gas revealed by means of a temporal Talbot-Lau interferometer
- Revealing the Condensate and Non-Condensate Distributions in the Inhomogeneous Bose-Hubbard Model
- Non-local correlation and entanglement of ultracold bosons in the two-dimensional Bose-Hubbard lattice at finite temperature
- Boson Core Compressibility
- Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
- Probing Phases and Quantum Criticality using Deviations from the Local Fluctuation-Dissipation Theorem
- Classical and Quantum Gases on a Semiregular Mesh
- Critical behavior at the spatial boundary of a trapped inhomogeneous Bose-Einstein condensate
- Quantitative Studies on the Quantum Critical Regime near Superfluid to Mott Insulator Transition
- Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder
- Matter wave interference of dilute Bose gases in the critical regime