Transition from Tonks-Girardeau gas to super-Tonks-Girardeau gas as an exact many-body dynamics problem

Abstract

We investigate transition of a one-dimensional interacting Bose gas from a strongly repulsive regime to a strongly attractive regime, where a stable highly excited state known as the super Tonks-Girardeau gas was experimentally realized very recently. By solving exact dynamics of the integrable Lieb-Liniger Bose gas, we demonstrate that such an excited gas state can be a very stable dynamic state. Furthermore we calculate the breathing mode of the super Tonks-Girardeau gas which is found to be in good agreement with experimental observation. Our results show that the highly excited super Tonks-Girardeau gas phase can be well understood from the fundamental theory of the solvable Bose gas.

4 pages, 4 figures, version to appear in Phys. Rev. A as a Rapid Communication

References in corpus (5)

• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Dipolar gases in quasi one-dimensional geometries
• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
• Excitations of attractive 1-D bosons: Binding vs. fermionization

Cited by in corpus (41)

• Dipolar physics: A review of experiments with magnetic quantum gases
• Roadmap on Atomtronics: State of the art and perspective
• Multi-particle bound state formation following a quantum quench to the one-dimensional Bose gas with attractive interactions
• Scattering resonances and bound states for strongly interacting Rydberg polaritons
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Creating quantum many-body scars through topological pumping of a 1D dipolar gas
• Quantum quenches to the attractive one-dimensional Bose gas: exact results
• Two super Tonks-Girardeau states of a trapped 1D spinor Fermi gas
• Local Correlations in the Super Tonks-Girardeau Gas
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• Super-Tonks-Girardeau gas of spin-1/2 interacting fermions
• Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
• Dynamics of pair correlations in the attractive Lieb-Liniger gas
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Wave functions of the super Tonks-Girardeau gas and the trapped 1D hard sphere Bose gas
• Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
• Tonks-Girardeau and Super Tonks-Girardeau States of a Trapped 1D Spinor Bose Gas
• Strongly interacting Bose-Fermi mixtures in one dimension
• Exact equivalence between one-dimensional Bose gases interacting via hard-sphere and zero-range potentials
• Bose-Hubbard ladder subject to effective magnetic field: quench dynamics in a harmonic trap
• Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
• Preparation of stable excited states in an optical lattice via sudden quantum quench
• Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions
• Critical phenomena in one dimension from a Bethe ansatz perspective
• 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
• Many-body properties of quasi-one dimensional Boson gas across a narrow CIR
• Fine structures in the spectrum of the open-boundary Heisenberg chain at large anisotropies
• Unbounded entropy production and violent fragmentation for repulsive-to-attractive interaction quench in long-range interacting systems
• Repulsive dynamics of strongly attractive one-dimensional quantum gases
• Strongly bound fermion pairs on a ring: a composite-boson approach
• The lowest scattering state of one-dimensional Bose gas with attractive interactions
• Dipolar particles in a double-trap confinement: Response to tilting the dipolar orientation
• Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model
• Crystalline phase for one-dimensional ultra-cold atomic bosons
• Fermi super-Tonks-Girardeau state for attractive Fermi gases in an optical lattice
• Strong interaction induced dimensional crossover in 1D quantum gas
• Gap solitons of a super-Tonks-Girardeau gas in a one-dimensional periodic potential
• Localized-Interaction-Induced Quantum Reflection and Filtering of Bosonic Matter in a One-Dimensional Lattice Guide
• Exotic critical states as fractional Fermi seas in the one-dimensional Bose gas