Evidence for the super Tonks-Girardeau gas

Abstract

We provide evidence in support of a recent proposal by Astrakharchik at al. for the existence of a super Tonks-Girardeau gas-like state in the attractive interaction regime of quasi-one-dimensional Bose gases. We show that the super Tonks-Giradeau gas-like state corresponds to a highly-excited Bethe state in the integrable interacting Bose gas for which the bosons acquire hard-core behaviour. The gas-like state properties vary smoothly throughout a wide range from strong repulsion to strong attraction. There is an additional stable gas-like phase in this regime in which the bosons form two-body bound states behaving like hard-core bosons.

10 pages, 1 figure, 2 tables, additional text on the stability of the super T-G gas-like state

References in corpus (14)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bosonizing one-dimensional cold atomic gases
• Exact coherent states of a harmonically confined Tonks-Girardeau gas
• An exactly solvable model of the BCS-BEC crossover
• Dilute Fermi gas in quasi-one-dimensional traps: From weakly interacting fermions via hard core bosons to weakly interacting Bose gas
• Interacting fermions in quasi-one-dimensional harmonic traps
• Quasi-one-dimensional Bose gases with large scattering length
• Exact ground state of finite Bose-Einstein condensates on a ring
• The 1D interacting Bose gas in a hard wall box
• Symmetry Breaking and Enhanced Condensate Fraction in a Matter-Wave Bright Soliton
• Exact Analysis of Delta-Function Attractive Fermions and Repulsive Bosons in One-Dimension
• Ultracold atoms in one-dimensional optical lattices approaching the Tonks-Girardeau regime
• Ground state of one-dimensional bosons with delta interaction: link to the BCS model
• Continuous configuration-interaction for condensates in a ring

Cited by in corpus (72)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
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• Fermi gases in one dimension: From Bethe Ansatz to experiments
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• Roadmap on Atomtronics: State of the art and perspective
• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• One-dimensional mixtures of several ultracold atoms: a review
• Multi-particle bound state formation following a quantum quench to the one-dimensional Bose gas with attractive interactions
• Fermionization of two-component few-fermion systems in a one-dimensional harmonic trap
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
• Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms
• 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
• Non-local pair correlations in the 1D Bose gas at finite temperature
• Quantum quenches to the attractive one-dimensional Bose gas: exact results
• 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
• Local Correlations in the Super Tonks-Girardeau Gas
• Super-Tonks-Girardeau regime in trapped one-dimensional dipolar gases
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• Dynamics of the attractive 1D Bose gas: analytical treatment from integrability
• Super-Tonks-Girardeau gas of spin-1/2 interacting fermions
• 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
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Metastable criticality and the super Tonks-Girardeau gas
• Super Tonks-Girardeau state in an attractive one-dimensional dipolar gas
• Wave functions of the super Tonks-Girardeau gas and the trapped 1D hard sphere Bose gas
• Impenetrable Mass-Imbalanced Particles in One-Dimensional Harmonic Traps
• Excitations of attractive 1-D bosons: Binding vs. fermionization
• Dynamical structure factor of one-dimensional hard rods
• Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
• Bound states of Dipolar Bosons in One-dimensional Systems
• Tonks-Girardeau and Super Tonks-Girardeau States of a Trapped 1D Spinor Bose Gas
• Strongly interacting Bose-Fermi mixtures in one dimension
• Photonic quantum transport in a nonlinear optical fiber
• The quantum solitons atomtronic interference device
• Exact equivalence between one-dimensional Bose gases interacting via hard-sphere and zero-range potentials
• Second quantization of Leinaas-Myrheim anyons in one dimension and their relation to the Lieb-Liniger model
• Binding between two-component bosons in one dimension
• Dark-soliton-like excitations in the Yang-Gaudin gas of attractively interacting fermions
• Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
• Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases
• Universal off-diagonal long-range order behaviour for a trapped Tonks-Girardeau gas
• Preparation of stable excited states in an optical lattice via sudden quantum quench
• Probing the edge between integrability and quantum chaos in interacting few-atom systems
• Quantum holonomy in Lieb-Liniger model
• Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions
• Dissipative Effects on the Superfluid to Insulator Transition in Mixed-dimensional Optical Lattices
• Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
• Quasi-1D atomic gases across wide and narrow confinement-induced-resonances
• Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
• Non-equilibrium aspects of integrable models
• Master equation approach for interacting slow- and stationary-light polaritons
• Quantum Work of an Optical Lattice
• Many-body properties of quasi-one dimensional Boson gas across a narrow CIR
• On quantum phase crossovers in finite systems
• Controlling integrability in a quasi-1D atom-dimer mixture
• Ultrastable super-Tonks-Girardeau gases under weak dipolar interactions
• Repulsive dynamics of strongly attractive one-dimensional quantum gases
• Interaction quench of dipolar bosons in a one-dimensional optical lattice
• Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
• Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model
• Crystalline phase for one-dimensional ultra-cold atomic bosons
• The lowest scattering state of one-dimensional Bose gas with attractive interactions
• Probing an effective-range-induced super fermionic Tonks-Girardeau gas with ultracold atoms in one-dimensional harmonic traps
• Phase Equilibrium of Binary Mixtures in Mixed Dimensions
• Fermi super-Tonks-Girardeau state for attractive Fermi gases in an optical lattice
• Gap solitons of a super-Tonks-Girardeau gas in a one-dimensional periodic potential
• Strongly Repulsive 1D Gases at Higher Branches: Spin-Charge Correlation and Coupled Spin-Chain Model
• Exotic critical states as fractional Fermi seas in the one-dimensional Bose gas