Superfluidity in the 1D Bose-Hubbard Model
arXiv:2202.00669 · doi:10.1103/PhysRevB.105.134502
Abstract
We study superfluidity in the 1D Bose-Hubbard model using a variational matrix product state technique. We determine the superfluid density as a function of the Hubbard parameters by calculating the energy cost of phase twists in the thermodynamic limit. As the system is critical, correlation functions decay as power laws and the entanglement entropy grows with the bond dimension of our variational state. We relate the resulting scaling laws to the superfluid density. We compare two different algorithms for optimizing the infinite matrix product state and develop a physical explanation why one of them (VUMPS) is more efficient than the other (iDMRG). Finally, we comment on finite-temperature superfluidity in one dimension and how our results can be realized in cold atom experiments.
arXiv comment16 pages, 9 figures (some equations use graphicx)
References in corpus (59)
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- Feshbach Resonances in Ultracold Gases
- Entanglement Entropy and Quantum Field Theory
- Theory of ultracold Fermi gases
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Josephson Junction Arrays with Bose-Einstein Condensates
- A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
- Entanglement spectrum in one-dimensional systems
- The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
- Theory of finite-entanglement scaling at one-dimensional quantum critical points
- Superfluid and Dissipative Dynamics of a Bose-Einstein Condensate in a Periodic Optical Potential
- Phases of the one-dimensional Bose-Hubbard model
- Variational optimization algorithms for uniform matrix product states
- Stability and phase coherence of trapped 1D Bose gases
- Density matrix renormalization group algorithms with a single center site
- Raman processes and effective gauge potentials
- Phase diagram of the bose Hubbard model
- Tangent-space methods for uniform matrix product states
- Dynamics and Thermodynamics of the Bose-Hubbard model
- Scissors mode and superfluidity of a trapped Bose-Einstein condensed gas
- Does the attractive Hubbard model support larger persistent currents than the repulsive one ?
- Solving the Bose-Hubbard model with machine learning
- Quantized vortices and collective oscillations of a trapped Bose condensed gas
- Spatial correlations of trapped 1d bosons in an optical lattice
- Collective oscillations of a trapped Fermi gas near a Feshbach resonance
- Universal properties of hard-core bosons confined on one-dimensional lattices
- Machine learning technique to find quantum many-body ground states of bosons on a lattice
- Evidence of superfluidity in a dipolar supersolid from non-classical rotational inertia
- Dynamic properties of the one-dimensional Bose-Hubbard model
- Ultracold bosons with short-range interaction in regular optical lattices
- Universal correlations of trapped one-dimensional impenetrable bosons
- Observation of first and second sound in a BKT superfluid
- Quantum Hall Physics with Cold Atoms in Cylindrical Optical Lattices
- Measuring the Superfluid Fraction of an Ultracold Atomic Gas
- Two Definitions of Superfluid Density
- Interacting bosons in one dimension and Luttinger liquid theory
- Moment of Inertia and Superfluidity of a Trapped Bose Gas
- Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
- Rotating atomic quantum gases with light-induced azimuthal gauge potentials and the observation of Hess-Fairbank effect
- Dynamical theory of superfluidity in one dimension
- Superfluid density and quasi-long-range order in the one-dimensional disordered Bose-Hubbard model
- Signatures of integrability in charge and thermal transport in 1D quantum systems
- Variational Cluster Perturbation Theory for Bose-Hubbard models
- Crossover behavior in interface depinning
- Re-entrance and entanglement in the one-dimensional Bose-Hubbard model
- Quantum phase slips in one-dimensional superfluids in a periodic potential
- Hydrodynamic VS collisionless dynamics of a 1D harmonically trapped Bose gas
- Critical Flow and Dissipation in a Quasi-One-Dimensional Superfluid
- One-dimensional extended Bose-Hubbard model with a confining potential: a DMRG analysis
- Ground state phase diagram of the one-dimensional Bose-Hubbard model from restricted Boltzmann machines
- Collisionless drag for a one-dimensional two-component Bose-Hubbard model
- Pairing and pair superfluid density in one-dimensional Hubbard models
- A Spectroscopic Method to Measure the Superfluid Fraction of an Ultracold Atomic Gas
- Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance
- Second sound in systems of one-dimensional fermions
- Hybrid sound modes in one-dimensional quantum liquids
- Propagation and attenuation of sound in one-dimensional quantum liquids
- Quantum Monte Carlo study of superfluid density in quasi-one-dimensional hard-core bosons: Effect of suppression of phase slippage
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- Quasiperiodicity-induced enhancement of superconductivity in one-dimensional critical systems
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- One-dimensional lattice gauge theory in periodic Gauss-law sectors
- One dimensional Bose-Hubbard model with long range hopping
- Coherence, Transport, and Chaos in 1D Bose-Hubbard Model: Disorder vs. Stark Potential
- Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder