Exploring quantum criticality based on ultracold atoms in optical lattices

Abstract

Critical behavior developed near a quantum phase transition, interesting in its own right, offers exciting opportunities to explore the universality of strongly-correlated systems near the ground state. Cold atoms in optical lattices, in particular, represent a paradigmatic system, for which the quantum phase transition between the superfluid and Mott insulator states can be externally induced by tuning the microscopic parameters. In this paper, we describe our approach to study quantum criticality of cesium atoms in a two-dimensional lattice based on in situ density measurements. Our research agenda involves testing critical scaling of thermodynamic observables and extracting transport properties in the quantum critical regime. We present and discuss experimental progress on both fronts. In particular, the thermodynamic measurement suggests that the equation of state near the critical point follows the predicted scaling law at low temperatures.

15 pages, 6 figures

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Cited by in corpus (25)

• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• A thermoelectric heat engine with ultracold atoms
• What can gauge-gravity duality teach us about condensed matter physics?
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Emergence of coherence and the dynamics of quantum phase transitions
• Quantum critical behavior of ultracold atoms in two-dimensional optical lattices
• Coherent and dissipative dynamics at quantum phase transitions
• Extracting density-density correlations from in situ images of atomic quantum gases
• Strongly Interacting Two-Dimensional Bose Gases
• Techniques to measure quantum criticality in cold atoms
• Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
• Thermoelectric transport and Peltier cooling of cold atomic gases
• 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 and universal scaling of strongly attractive spin-imbalanced Fermi gases in a 1D harmonic trap
• Finite Temperature Phase Transition in a Cross-Dimensional Triangular Lattice
• Renormalization group analysis of $p$-orbital Bose-Einstein condensates in a square optical lattice
• Quantum criticality of spin-1 bosons in a 1D harmonic trap
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Strong-coupling expansion for ultracold bosons in an optical lattice at finite temperatures in the presence of superfluidity
• Quantum Phase Transitions and Heat Capacity in a two-atoms Bose-Hubbard Model
• Quantum Fluctuation Driven First-order Phase Transitions in Optical Lattices
• Quantitative Studies on the Quantum Critical Regime near Superfluid to Mott Insulator Transition
• 3$d$ - 4$d$ hybridization anomaly in Ni${}_x$Pd${}_{1-x}$ alloys at quantum critical point