Quasi-one-dimensional Bose gases with large scattering length

Abstract

Bose gases confined in highly-elongated harmonic traps are investigated over a wide range of interaction strengths using quantum Monte Carlo techniques. We find that the properties of a Bose gas under tight transverse confinement are well reproduced by a 1d model Hamiltonian with contact interactions. We point out the existence of a unitary regime, where the properties of the quasi-1d Bose gas become independent of the actual value of the 3d scattering length. In this unitary regime, the energy of the system is well described by a hard rod equation of state. We investigate the stability of quasi-1d Bose gases with positive and negative 3d scattering length.

arXiv comment5 pages, 3 figures

References in corpus (17)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Realization of Bose-Einstein condensates in lower dimensions
• Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Regimes of quantum degeneracy in trapped 1D gases
• Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
• Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
• Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
• Fermi systems with long scattering lengths
• Stability and phase coherence of trapped 1D Bose gases
• Resonant control of elastic collisions in an optically trapped Fermi gas of atoms
• Monte Carlo Analysis of a New Interatomic Potential for He
• Cold Bose gases with large scattering lengths
• Macroscopic Quantum Tunneling of a Bose Condensate
• Quantum Monte Carlo study of the 3D-1D crossover for a trapped Bose gas
• Fermionization of a bosonic gas under highly-elongated confinement: A diffusion quantum Monte Carlo study

Cited by in corpus (61)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Dipolar physics: A review of experiments with magnetic quantum gases
• Yang-Yang thermodynamics on an atom chip
• Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
• Cold Bosons in Optical Lattices
• Principal problems in Bose-Einstein condensation of dilute gases
• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• One-dimensional mixtures of several ultracold atoms: a review
• Dilute Fermi gas in quasi-one-dimensional traps: From weakly interacting fermions via hard core bosons to weakly interacting Bose gas
• Fermionization of two-component few-fermion systems in a one-dimensional harmonic trap
• Evidence for the super Tonks-Girardeau gas
• Pathway from condensation via fragmentation to fermionization of cold bosonic systems
• Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
• Creating quantum many-body scars through topological pumping of a 1D dipolar gas
• Effective interactions, Fermi-Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides
• Two super Tonks-Girardeau states of a trapped 1D spinor Fermi gas
• Transition from Tonks-Girardeau gas to super-Tonks-Girardeau gas as an exact many-body dynamics problem
• Bose-Einstein-condensed gases in arbitrarily strong random potentials
• Super-Tonks-Girardeau gas of spin-1/2 interacting fermions
• Three-body problem for ultracold atoms in quasi-one-dimensional traps
• Frustrated spin chains in strong magnetic field: dilute two-component Bose gas regime
• Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases
• Charge and spin dynamics of interacting Fermions in a one dimensional harmonic trap
• Floquet Many-body Engineering: Topological and Many-body Physics in Phase Space Lattices
• Super Tonks-Girardeau state in an attractive one-dimensional dipolar gas
• Ground state of one-dimensional bosons with delta interaction: link to the BCS model
• Out-of-equilibrium states and quasi-many-body localization in polar lattice gases
• Wave functions of the super Tonks-Girardeau gas and the trapped 1D hard sphere Bose gas
• Three interacting atoms in a one-dimensional trap: A benchmark system for computational approaches
• Effective Long-distance Interaction from Short-distance Interaction in Periodically Driven One-dimensional Classical System
• Tonks-Girardeau and Super Tonks-Girardeau States of a Trapped 1D Spinor Bose Gas
• Exact equivalence between one-dimensional Bose gases interacting via hard-sphere and zero-range potentials
• Dark-soliton-like excitations in the Yang-Gaudin gas of attractively interacting fermions
• Strongly Correlated Quantum Gas Prepared by Direct Laser Cooling
• Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases
• Beyond mean-field dynamics of ultra-cold bosonic atoms in higher dimensions: facing the challenges with a multi-configurational approach
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions
• Density distributions for trapped one-dimensional spinor gases
• Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
• Condensate depletion in two-species Bose gases: A variational Quantum Monte Carlo study
• Non-equilibrium aspects of integrable models
• Finite-temperature properties of quasi-2D Bose-Einstein condensates
• Double zigzag spin chain in strong magnetic field close to saturation
• Signatures of Strong Correlations in One-Dimensional Ultra-Cold Atomic Fermi Gases
• Quantum Work of an Optical Lattice
• Few-Boson Processes in the Presence of an Attractive Impurity under One-Dimensional Confinement
• Quantum criticality of spin-1 bosons in a 1D harmonic trap
• High-fidelity pseudopotentials for the contact interaction
• Quench-produced solitons in a box-trapped Bose-Einstein condensate
• Excitation spectrum and effective interactions of highly-elongated Fermi gas
• A continuous model for bosonic hard spheres in quasi one-dimensional optical lattices
• Ultracold atoms in quasi-1D traps: a step beyond the Lieb-Liniger model
• Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
• Dipolar particles in a double-trap confinement: Response to tilting the dipolar orientation
• Stability, effective dimensions, and interactions for bosons in deformed fields
• Tomographic reconstruction of quantum correlations in excited Bose-Einstein condensates
• Ultracold bosons in one-dimensional harmonic and multi-well traps: a Quantum Monte Carlo vs a correlated pair approach
• Gap solitons of a super-Tonks-Girardeau gas in a one-dimensional periodic potential
• A toy model for the dipolar-induced resonance in quasi-one-dimensional systems