Critical Opalescence across the Doping Driven Mott Transition in Optical Lattices of Ultracold Atoms

Abstract

Phase transitions and their associated crossovers are imprinted in the behavior of fluctuations. Motivated by recent experiments on ultracold atoms in optical lattices, we compute the thermodynamic density fluctuations $\delta N^2$ of the two-dimensional fermionic Hubbard model with plaquette cellular dynamical mean-field theory. To understand the length scale of these fluctuations, we separate the local from the nonlocal contributions to $\delta N^2$. We determine the effects of particle statistics, interaction strength $U$, temperature $T$ and density $n$. At high temperature, our theoretical framework reproduces the experimental observations in the doping-driven crossover regime between metal and Mott insulator. At low temperature, there is an increase of thermodynamic density fluctuations, analog to critical opalescence, accompanied by a surprising reduction of the absolute value of their nonlocal contributions. This is a precursory sign of an underlying phase transition between a pseudogap phase and a metallic phase in doped Mott insulators, which should play an important role in the cuprate high-temperature superconductors. Predictions for ultracold atom experiments are made.

arXiv comment10 pages, 4 figures; published version

References in corpus (46)

• Many-Body Physics with Ultracold Gases
• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Continuous-time Monte Carlo methods for quantum impurity models
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Quantum Cluster Theories
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Measuring entanglement entropy through the interference of quantum many-body twins
• A Mott insulator of fermionic atoms in an optical lattice
• The cold atom Hubbard toolbox
• Relation Between the Widom line and the Strong-Fragile Dynamic Crossover in Systems with a Liquid-Liquid Phase Transition
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• Fermi-Hubbard physics with atoms in an optical lattice
• Single-atom imaging of fermions in a quantum-gas microscope
• Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
• A Quantum Gas Microscope for Fermionic Atoms
• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• Site-resolved Imaging of Fermionic Lithium-6 in an Optical Lattice
• Site-resolved measurement of the spin-correlation function in the Hubbard model
• Bad metallic transport in a cold atom Fermi-Hubbard system
• Microscopic Observation of Pauli Blocking in Degenerate Fermionic Lattice Gases
• Site-resolved imaging of a fermionic Mott insulator
• Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory
• Imaging and addressing of individual fermionic atoms in an optical lattice
• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• Spin Transport in a Mott Insulator of Ultracold Fermions
• Strong coupling superconductivity, pseudogap and Mott transition
• Suppression of Density Fluctuations in a Quantum Degenerate Fermi Gas
• Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
• Pseudogap temperature as a Widom line in doped Mott insulators
• Observation of 2D fermionic Mott insulators of ${}^{40}$K with single-site resolution
• Equation of state of the two-dimensional Hubbard model
• Mott physics and first-order transition between two metals in the normal state phase diagram of the two-dimensional Hubbard model
• Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model
• Antiferromagnetic correlations in two-dimensional fermionic Mott-insulating and metallic phases
• An organizing principle for two-dimensional strongly correlated superconductivity
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• Universal Thermometry for Quantum Simulation
• Entanglement entropy and mutual information across the Mott transition in the two-dimensional Hubbard model
• Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
• Effects of interaction strength, doping, and frustration on the antiferromagnetic phase of the two-dimensional Hubbard model
• Thermodynamics vs. local density fluctuations in the metal/Mott-insulator crossover
• Measuring entropy and mutual information in the two-dimensional Hubbard model
• Probing Phases and Quantum Criticality using Deviations from the Local Fluctuation-Dissipation Theorem

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