Local Correlations in the Super Tonks-Girardeau Gas
arXiv:1008.4383 · doi:10.1103/PhysRevA.83.013617
Abstract
We study the local correlations in the super Tonks-Girardeau gas, a highly excited, strongly correlated state obtained in quasi one-dimensional Bose gases by tuning the scattering length to large negative values using a confinement-induced resonance. Exploiting a connection with a relativistic field theory, we obtain results for the two-body and three-body local correlators at zero and finite temperature. At zero temperature our result for the three-body correlator agrees with the extension of the results of Cheianov et al. [Phys. Rev. A 73, 051604(R) (2006)], obtained for the ground-state of the repulsive Lieb-Liniger gas, to the super Tonks-Girardeau state. At finite temperature we obtain that the three-body correlator has a weak dependence on the temperature up to the degeneracy temperature. We also find that for temperatures larger than the degeneracy temperature the values of the three-body correlator for the super Tonks-Girardeau gas and the corresponding repulsive Lieb-Liniger gas are rather similar even for relatively small couplings.
References in corpus (24)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Quantum Inverse Scattering Method and Correlation Functions
- Realization of an Excited, Strongly-Correlated Quantum Gas Phase
- Confinement induced molecules in a 1D Fermi gas
- Stability and phase coherence of trapped 1D Bose gases
- Pair correlations in a finite-temperature 1D Bose gas
- Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
- On the Operator Content of the Sinh-Gordon Model
- Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model
- Finite Temperature Correlation Functions in Integrable QFT
- 1D Lieb-Liniger Bose Gas as Non-Relativistic Limit of the Sinh-Gordon Model
- Expectation Values in the Lieb-Liniger Bose Gas
- Evidence for the super Tonks-Girardeau gas
- Local correlations in a strongly interacting 1D Bose gas
- Mean values of local operators in highly excited Bethe states
- Two super Tonks-Girardeau states of a trapped 1D spinor Fermi gas
- Exact Results for Three-Body Correlations in a Degenerate One-Dimensional Bose Gas
- Transition from Tonks-Girardeau gas to super-Tonks-Girardeau gas as an exact many-body dynamics problem
- Dynamics of pair correlations in the attractive Lieb-Liniger gas
- Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases
- Three-body local correlation function in the Lieb-Liniger model: bosonization approach
- Wave functions of the super Tonks-Girardeau gas and the trapped 1D hard sphere Bose gas
- Excitations of attractive 1-D bosons: Binding vs. fermionization
- Bethe Ansatz Matrix Elements as Non-Relativistic Limits of Form Factors of Quantum Field Theory
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- Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
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- From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
- Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
- Non-Hermitian skin effect in one-dimensional interacting Bose gas
- Direct Measurements of Collisional Dynamics in Cold Atom Triads
- Metastable criticality and the super Tonks-Girardeau gas
- Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
- Split Fermi seas in one-dimensional Bose fluids
- One-particle density matrix of a trapped Lieb-Liniger anyonic gas
- From the sine-Gordon field theory to the Kardar-Parisi-Zhang growth equation
- Exact equivalence between one-dimensional Bose gases interacting via hard-sphere and zero-range potentials
- A connection between non-local one-body and local three-body correlations of the Lieb-Liniger model
- Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
- Strongly Correlated Quantum Gas Prepared by Direct Laser Cooling
- Non Relativistic Limit of Integrable QFT and Lieb-Liniger Models
- Universal off-diagonal long-range order behaviour for a trapped Tonks-Girardeau gas
- Exact finite volume expectation values of local operators in excited states
- One-point functions in finite volume/temperature: a case study
- Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
- Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
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- Non Relativistic Limit of Integrable QFT with fermionic excitations
- Quantum Work of an Optical Lattice
- Integrability, Non-integrability and confinement
- Repulsive dynamics of strongly attractive one-dimensional quantum gases
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- The lowest scattering state of one-dimensional Bose gas with attractive interactions
- 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
- Gap solitons of a super-Tonks-Girardeau gas in a one-dimensional periodic potential