Non-local correlation and entanglement of ultracold bosons in the two-dimensional Bose-Hubbard lattice at finite temperature
arXiv:2106.14860 · doi:10.1002/andp.202100581
Abstract
We investigate the temperature-dependent behavior emerging in the vicinity of the superfluid (SF) to Mott-insulator (MI) transition of interacting bosons in a two-dimensional optical lattice, described by the Bose-Hubbard model. The equilibrium phase diagram at finite temperature is computed using the cluster mean-field (CMF) theory including a finite cluster-size scaling. The SF, MI, and normal fluid (NF) phases are characterized as well as the transition or crossover temperatures between them are estimated by computing physical quantities such as the superfluid fraction, compressibility and sound velocity using the CMF method. We find that the non-local correlations included in a finite cluster, when extrapolated to infinite size, leads to quantitative agreement of the phase boundaries with quantum Monte Carlo (QMC) results as well as with experiments. Moreover, we show that the von Neumann entanglement entropy within a cluster corresponds to the system's entropy density and that it is enhanced near the SF-MI quantum critical point (QCP) and at the SF- NF boundary. The behavior of the transition lines near this QCP, at and away from the particle-hole (p-h) symmetric point located at the Mott-tip, is also discussed. Our results obtained by using the CMF theory can be tested experimentally using the quantum gas microscopy method.
References in corpus (66)
- Quantum entanglement
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- The density-matrix renormalization group in the age of matrix product states
- Cold bosonic atoms in optical lattices
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Measuring entanglement entropy through the interference of quantum many-body twins
- Bose-Einstein condensation in quasi2D trapped gases
- Probing entanglement in a many-body-localized system
- Quantum phases in an optical lattice
- The Mott insulator transition in two dimensions
- The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
- Strong-coupling expansions for the pure and disordered bose Hubbard model
- The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
- Phases of the one-dimensional Bose-Hubbard model
- Monte Carlo study of two-dimensional Bose-Hubbard model
- Observation of scale invariance and universality in two-dimensional Bose gases
- Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
- Phase Diagram of Bosonic Atoms in Two-Color Superlattices
- Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator
- Visibility of the Amplitude (Higgs) Mode in Condensed Matter
- Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems
- Dynamics and Thermodynamics of the Bose-Hubbard model
- Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
- Dynamical properties of ultracold bosons in an optical lattice
- Quantum critical behavior of ultracold atoms in two-dimensional optical lattices
- Spatial correlations of trapped 1d bosons in an optical lattice
- Ultracold atoms in optical lattices
- The dynamics of quantum criticality via Quantum Monte Carlo and holography
- Higgs mode in a strongly interacting fermionic superfluid
- Correlated bosons on a lattice: Dynamical mean-field theory for Bose-Einstein condensed and normal phases
- Quantum Phase Diagram of Bosons in Optical Lattices
- Universal crossovers between entanglement entropy and thermal entropy
- Thermal Ising transitions in the vicinity of two-dimensional quantum critical points
- Universal Jump in the Helicity Modulus of the Two-Dimensional Quantum XY Model
- State diagrams for harmonically trapped bosons in optical lattices
- Cluster Gutzwiller method for bosonic lattice systems
- Universal Conductivity in a Two-Dimensional Superfluid-to-Insulator Quantum Critical System
- Quantum phases of hardcore bosons with long-range interactions on a square lattice
- Dipolar Bosons in Triangular Optical Lattices: Quantum Phase Transitions and Anomalous Hysteresis
- Dynamical mean-field theory for bosons
- Nonperturbative renormalization-group approach to strongly-correlated lattice bosons
- Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
- One-dimensional density waves of ultracold bosons in an optical lattice
- Non-perturbative renormalization-group approach to the Bose-Hubbard model
- Single Interval Rényi Entropy At Low Temperature
- Phases of a 2D Bose Gas in an Optical Lattice
- Finite temperature study of bosons in a two dimensional optical lattice
- Techniques to measure quantum criticality in cold atoms
- Dynamical Phase Diagram of a Quantum Ising Chain with Long Range Interactions
- Phase Transitions and Scaling in Systems Far From Equilibrium
- Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
- A projection operator approach to the Bose-Hubbard model
- Effective Action Approach for Quantum Phase Transitions in Bosonic Lattices
- Quantum Criticality from in-situ Density Imaging
- Supersolid phase of the extended Bose-Hubbard model with an artificial gauge field
- Staggered superfluid phases of dipolar bosons in two-dimensional square lattices
- Thermodynamics in the vicinity of a relativistic quantum critical point in 2+1 dimensions
- Signatures of the superfluid to Mott insulator transition in equilibrium and in dynamical ramps
- Analytical mean-field approach to the phase-diagram of ultracold bosons in optical superlattices
- Quantum XY criticality in a two-dimensional Bose gas near the Mott transition
- Phases and collective modes of bosons in a triangular lattice at finite temperature: A cluster mean field study
- Strong-coupling expansion for ultracold bosons in an optical lattice at finite temperatures in the presence of superfluidity
- Probing Phases and Quantum Criticality using Deviations from the Local Fluctuation-Dissipation Theorem
- A finite temperature study of ideal quantum gases in the presence of one dimensional quasi-periodic potential
Cited by in corpus (6)
- Temporal bistability in the dissipative Dicke-Bose-Hubbard system
- Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
- Conductivity of lattice bosons at high temperatures
- Formation of paired phases of bosons and their excitations in a square lattice
- Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder
- Finite temperature phases and excitations of bosons on a square lattice: A cluster mean field study