Discerning Incompressible and Compressible Phases of Cold Atoms in Optical Lattices

Abstract

Experiments with cold atoms trapped in optical lattices offer the potential to realize a variety of novel phases but suffer from severe spatial inhomogeneity that can obscure signatures of new phases of matter and phase boundaries. We use a high temperature series expansion to show that compressibility in the core of a trapped Fermi-Hubbard system is related to measurements of changes in double occupancy. This core compressibility filters out edge effects, offering a direct probe of compressibility independent of inhomogeneity. A comparison with experiments is made.

References in corpus (22)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• A Mott insulator of fermionic atoms in an optical lattice
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• High-temperature superfluidity of fermionic atoms in optical lattices
• The Mott insulator transition in two dimensions
• Molecular Probe of Pairing in the BEC-BCS Crossover
• Mott Domains of Bosons Confined on Optical Lattices
• Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Mott transition of fermionic atoms in a three-dimensional optical trap
• d-wave resonating valence bond states of fermionic atoms in optical lattices
• Searching for a Supersolid in Cold Atom Optical Lattices
• Trapping and cooling fermionic atoms into the Mott and Néel states
• Detecting correlation functions of ultracold atoms through Fourier sampling of time-of-flight images
• Edge Transport in 2D Cold Atom Optical Lattices
• Bosons Confined in Optical Lattices: the Numerical Renormalization Group revisited
• Quantitative determination of the Hubbard model phase diagram from optical lattice experiments by two-parameter scaling

Cited by in corpus (46)

• Fermi-Hubbard physics with atoms in an optical lattice
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Disorder-induced Localization in a Strongly Correlated Atomic Hubbard Gas
• Site-resolved imaging of a fermionic Mott insulator
• Artificial graphene with tunable interactions
• Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical Lattice
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Probing nearest-neighbor correlations of ultracold fermions in an optical lattice
• Observation of 2D fermionic Mott insulators of ${}^{40}$K with single-site resolution
• Anomalous Expansion of Attractively Interacting Fermionic Atoms in an Optical Lattice
• Formation and dynamics of anti-ferromagnetic correlations in tunable optical lattices
• Compressibility of a fermionic Mott insulator of ultracold atoms
• Néel temperature and thermodynamics of the half-filled 3D Hubbard model by Diagrammatic Determinant Monte Carlo
• Exploring competing density order in the ionic Hubbard model with ultracold fermions
• Transport and Optical Conductivity in the Hubbard Model: A High-Temperature Expansion Perspective
• Strongly Correlated Bosons on a Dynamical Lattice
• Dynamically Generated Double Occupancy as a Probe of Cold Atom Systems
• Mott transitions in ternary flavor mixtures of ultracold fermions on optical lattices
• Thermodynamics and magnetic properties of the anisotropic 3D Hubbard model
• Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices
• Double occupancy in DMFT and the Dual Boson approach
• Probing quasi-particle states in strongly interacting atomic gases by momentum-resolved Raman photoemission spectroscopy
• Mott transition of fermionic mixtures with mass imbalance in optical lattices
• Three-dimensional Hubbard model in the thermodynamic limit
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Magnetic structure of an imbalanced Fermi gas in an optical lattice
• Unveiling the Finite Temperature Physics of Hydrogen Chains via Auxiliary Field Quantum Monte Carlo
• Solving lattice density functionals close to the Mott regime
• Pure Fulde-Ferrell-Larkin-Ovchinnikov state in optical lattices
• Quasi-universal transient behavior of a nonequilibrium Mott insulator driven by an electric field
• Linked-cluster expansion for the Green's function of the infinite-U Hubbard model
• Physical Neural Networks with Self-Learning Capabilities
• Exploring the grand-canonical phase diagram of interacting bosons in optical lattices by trap squeezing
• Compressibility and entropy of cold fermions in one dimensional optical lattices
• Effects of anisotropy in simple lattice geometries on many-body properties of ultracold fermions in optical lattices
• Thermal versus Quantum Fluctuations of Optical Lattice Fermions
• Simulating heavy fermion physics in optical lattice: Periodic Anderson model with harmonic trapping potential
• Size and shape of Mott regions for fermionic atoms in a two-dimensional optical lattice
• Boson Core Compressibility
• Transport of Hubbard-Band Quasiparticles in Disordered Optical Lattices
• All-optical pump-and-probe detection of dynamical correlations in a two-dimensional Fermi gas
• Double occupancies in confined attractive fermions on optical lattices
• Generalized gradient expansion for inhomogeneous dynamical mean-field theory: Application to ultracold atoms in a harmonic trap
• Thermodynamics of the Hubbard model on stacked honeycomb and square lattices
• Strong Boundary and Trap Potential Effects on Emergent Physics in Ultra-Cold Fermionic Gases
• Quantum simulation of the Hubbard model with ultracold fermions in optical lattices