Mott Transition for Strongly-Interacting 1D Bosons in a Shallow Periodic Potential

Abstract

We investigate the superfluid-insulator transition of one-dimensional interacting Bosons in both deep and shallow periodic potentials. We compare a theoretical analysis based on Monte-Carlo simulations in continuum space and Luttinger liquid approach with experiments on ultracold atoms with tunable interactions and optical lattice depth. Experiments and theory are in excellent agreement. It provides a quantitative determination of the critical parameter for the Mott transition and defines the regime of validity of widely used approximate models, namely the Bose-Hubbard and sine-Gordon models

Technical problem in references fixed. Text and figures identical to version 1

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• The ALPS project release 1.3: open source software for strongly correlated systems
• Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
• Emergence of coherence in a uniform quasi-two-dimensional Bose gas
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• 39-K Bose-Einstein condensate with tunable interactions
• Decay of a superfluid currents in a moving system of strongly interacting bosons
• Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model
• Phase-slip induced dissipation in an atomic Bose-Hubbard system
• Quantum phase transition in a shallow one-dimensional optical lattice

Cited by in corpus (47)

• Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
• Band and correlated insulators of cold fermions in a mesoscopic lattice
• Many-body Multifractality throughout Bosonic Superfluid and Mott Insulator Phases
• One-dimensional Bose gas in optical lattices of arbitrary strength
• Driven dissipative dynamics and topology of quantum impurity systems
• Tan's Contact for Trapped Lieb-Liniger Bosons at Finite Temperature
• Correlations of strongly interacting ultracold dipolar bosons in optical lattices
• Tomonaga-Luttinger liquid spin dynamics in the quasi-one dimensional Ising-like antiferromagnet BaCo${}_2$V${}_2$O${}_8$
• Unitary dynamics of strongly-interacting Bose gases with time-dependent variational Monte Carlo in continuous space
• Unraveling the Excitation Spectrum of Many-Body Systems from Quantum Quenches
• Twofold correlation spreading in a strongly correlated lattice Bose gas
• Velocity-dependent quantum phase slips in 1D atomic superfluids
• Variational Bethe Ansatz approach for dipolar one-dimensional bosons
• Universal off-diagonal long-range order behaviour for a trapped Tonks-Girardeau gas
• Strongly-interacting bosons at 2D-1D Dimensional Crossover
• Simulating a quantum commensurate-incommensurate phase transition using two Raman coupled one dimensional condensates
• Quasiexact Kondo Dynamics of Fermionic Alkaline-Earth-Like Atoms at Finite Temperatures
• Self-Pinning Transition of a Tonks-Girardeau Gas in a Bose-Einstein Condensate
• Entangling qubit registers via many-body states of ultracold atoms
• Spatial entanglement entropy in the ground state of the Lieb-Liniger model
• Quantum Phase Slips: from condensed matter to ultracold quantum gases
• Optical lattices as a tool to study defect-induced superfluidity
• Quench-induced dynamical phase transitions and $\pi$-synchronization in the Bose-Hubbard Model
• Interaction induced single impurity tunneling in a binary mixture of trapped ultracold bosons
• Mott transition for a Lieb-Liniger gas in a shallow quasiperiodic potential: Delocalization induced by disorder
• Lattice modulation spectroscopy of one-dimensional quantum gases:Universal scaling of the absorbed energy
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Static and dynamic phases of a Tonks-Girardeau gas in an optical lattice
• Dimensional Reduction of Helium-4 Inside Argon Plated MCM-41 Nanopores
• Density-Matrix Renormalization Group for Continuous Quantum Systems
• Localization of interacting Fermi gases in quasiperiodic potentials
• Thermally activated phase slips of one-dimensional Bose gases in shallow optical lattices
• One-dimensional Repulsive Fermi Gas in a Tunable Periodic Potential
• Exploring quantum phase slips in 1D bosonic systems
• Balls and Walls: A Compact Unary Coding for Bosonic States
• Multiband Effects and the Bose-Hubbard Model in One-Dimensional Lattices
• Density functional theory versus quantum Monte Carlo simulations of Fermi gases in the optical-lattice arena
• Observation of the algebraic localization-delocalization transition in a 1D disordered potential with a bias force
• Uniaxial modulation and the Berezinskii-Kosterlitz-Thouless transition
• Quasi-superfluid and Quasi-Mott phases of strongly interacting bosons in shallow optical lattice
• Transport anisotropy and metal-insulator transition in striped Dirac fermion systems
• Properties of bosons in a one-dimensional bichromatic optical lattice in the regime of the Sine-Gordon transition: a Worm Algorithm Monte Carlo study
• Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition
• Thermodynamics and Tomonaga-Luttinger liquid behavior of the quantum 1D hard rod model
• One-Dimensional Quench Dynamics in an Optical Lattice: sine-Gordon and Bose-Hubbard Descriptions
• Bose-Hubbard model with power-law hopping in one dimension
• Quantum Monte Carlo study of strongly interacting bosonic one-dimensional systems in periodic potentials