Super-Tonks-Girardeau gas of spin-1/2 interacting fermions

Abstract

Fermi gases confined in tight one-dimensional waveguides form two-particle bound states of atoms in the presence of a strongly attractive interaction. Based on the exact solution of the one-dimensional spin-1/2 interacting Fermi gas, we demonstrate that a stable excited state with no pairing between attractive fermionic atoms can be realized by a sudden switch of interaction from strongly repulsive regime to the strongly attractive regime. Such a state is an exact fermionic analog of the experimentally observed super-Tonks-Girardeau state of bosonic Cesium atoms [Science 325, 1224 (2009)] and should be possible to be observed by the experiment. The frequency of lowest breathing mode of the fermionic super-Tonks-Girardeau gas is calculated as a function of the interaction strength, which could be used as a detectable signature for the experimental observation.

4.1 pages, 5 figures, version accepted for publication in Phys. Rev. Lett

References in corpus (11)

• 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
• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• Exact solution for infinitely strongly interacting Fermi gases in tight 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
• Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases
• 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

Cited by in corpus (39)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Fermionization of two-component few-fermion systems in a one-dimensional harmonic trap
• Few interacting fermions in one-dimensional harmonic trap
• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Ground-State Ferromagnetic Transition in Strongly Repulsive One-Dimensional Fermi Gases
• Phase Separation in Mixtures of Repulsive Fermi Gases Driven by Mass Difference
• Pairing in a system of a few attractive fermions in a harmonic trap
• Spectroscopy for a Few Atoms Harmonically-Trapped in One Dimension
• Two-component few-fermion mixtures in a one-dimensional trap: numerical versus analytical approach
• One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: I. One, Two, and Three Particles
• A variational approach to repulsively interacting three-fermion systems in a one-dimensional harmonic trap
• Bound states of Dipolar Bosons in One-dimensional Systems
• Strongly interacting Bose-Fermi mixtures in one dimension
• Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions
• Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
• Hartree-Fock treatment of Fermi polarons using the Lee-Low-Pine transformation
• Dynamics of spin and density fluctuations in strongly interacting few-body systems
• Quasi-1D atomic gases across wide and narrow confinement-induced-resonances
• Repulsive Fermi polarons with negative effective mass
• Comparing models for the ground state energy of a trapped one-dimensional Fermi gas with a single impurity
• Many-body properties of quasi-one dimensional Boson gas across a narrow CIR
• Exotic pairing in 1D spin-3/2 atomic gases with $SO(4)$ symmetry
• Ultrastable super-Tonks-Girardeau gases under weak dipolar interactions
• Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
• Interaction quench of dipolar bosons in a one-dimensional optical lattice
• Repulsive dynamics of strongly attractive one-dimensional quantum gases
• Density functional theory versus quantum Monte Carlo simulations of Fermi gases in the optical-lattice arena
• Separation induced resonances in quasi-one-dimensional ultracold atomic gases
• Strongly bound fermion pairs on a ring: a composite-boson approach
• Emergence of junction dynamics in a strongly interacting Bose mixture
• 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
• Spectroscopy and spin dynamics for strongly interacting few spinor bosons in one-dimensional traps
• Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model
• Fermi super-Tonks-Girardeau state for attractive Fermi gases in an optical lattice
• Strong interaction induced dimensional crossover in 1D quantum gas
• Ferromagnetic to antiferromagnetic transition of one-dimensional spinor Bose gases with spin-orbit coupling
• Shortcut to spin dynamics for quantum mixtures
• Strongly Repulsive 1D Gases at Higher Branches: Spin-Charge Correlation and Coupled Spin-Chain Model