Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions

Abstract

Paired states, trions and quarteting states in one-dimensional SU(4) attractive fermions are investigated via exact Bethe ansatz calculations. In particular, quantum phase transitions are identified and calculated from the quarteting phase into normal Fermi liquid, trionic states and spin-2 paired states which belong to the universality class of linear field-dependent magnetization in the vicinity of critical points. Moreover, unified exact results for the ground state energy, chemical potentials and complete phase diagrams for isospin $S=1/2,1,3/2$ attractive fermions with external fields are presented. Also identified are the magnetization plateaux of $m^z=M_s/3$ and $m^z=2M_s/3$, where $M_s$ is the magnetization saturation value. The universality of finite-size corrections and collective dispersion relations provides a further test ground for low energy effective field theory.

13 pages, 4 figures

References in corpus (21)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Confinement induced molecules in a 1D Fermi gas
• Collisional stability of a three-component degenerate Fermi gas
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Ultracold fermions and the SU(N) Hubbard model
• Precise determination of ${}^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Competing orders in one dimensional spin 3/2 fermionic systems
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Superfluidity and magnetism in multicomponent ultracold fermions
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms
• Pairing of Fermions with Arbitrary Spin
• BCS pairing in Fermi systems with several flavors
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Confinement vs Deconfinement of Cooper Pairs in One-Dimensional Spin-3/2 Fermionic Cold Atoms
• Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
• Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap
• Exactly solvable model for isospin S=3/2 fermionic atoms on an optical lattice
• Breached pairing in trapped three-color atomic Fermi gases

Cited by in corpus (13)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms
• Thermodynamics, spin-charge separation and correlation functions of spin-1/2 fermions with repulsive interaction
• Fermi gas with attractive potential and arbitrary spin in one-dimensional trap
• Exotic pairing in 1D spin-3/2 atomic gases with $SO(4)$ symmetry
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Interplay between exotic superfluidity and magnetism in a chain of four-component ultracold atoms
• Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions
• Two-orbital physics of high spin fermionic alkaline earth atoms confined in a one-dimensional chain
• Emergence of Quintet Superfluidity in the Chain of Partially Polarized Spin-3/2 Ultracold Atom
• Kinetic formation of trimers in a spinless fermionic chain
• Fermion quartets on the square lattice