Confinement vs Deconfinement of Cooper Pairs in One-Dimensional Spin-3/2 Fermionic Cold Atoms

Abstract

The phase diagram of spin-3/2 fermionic cold atoms trapped in a one-dimensional optical lattice is investigated at quarter filling (one atom per site) by means of large-scale numerical simulations. In full agreement with a recent low-energy approach, we find two phases with confined and deconfined Cooper pairs separated by an Ising quantum phase transition. The leading instability in the confined phase is an atomic-density wave with subdominant quartet superfluid instability made of four fermions. Finally, we reveal the existence of a bond-ordered Mott insulating phase in some part of the repulsive regime.

arXiv commentPublished version with minor changes; 4 pages, 7 figures

References in corpus (21)

• The density-matrix renormalization group
• Spinor Bose Condensates in Optical Traps
• Bosonization and Strongly Correlated Systems
• Bose-Einstein condensation of chromium
• Spin domains in ground state spinor Bose-Einstein condensates
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Coherent spinor dynamics in a spin-1 Bose condensate
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Four-particle condensate in strongly coupled fermion systems
• Pairing of Cooper Pairs in a Fully Frustrated Josephson Junction Chain
• Competing orders in one dimensional spin 3/2 fermionic systems
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Classifying Novel Phases of Spinor Atoms
• ${}^{52}$Cr Spinor Condensate$--$ A Biaxial or Uniaxial Spin Nematic
• Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms
• Metal-insulator transition in the one-dimensional SU(N) Hubbard model
• Tomonaga-Luttinger parameters for doped Mott insulators
• Charge and Spin Structures of a $d_{x^2-y^2}$ Superconductor in the Proximity of an Antiferromagnetic Mott Insulator
• Quantum insulating states of F=2 cold atoms in optical lattices
• Exactly solvable model for isospin S=3/2 fermionic atoms on an optical lattice
• On Quartet Superfluidity of Fermionic Atomic Gas

Cited by in corpus (47)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Status of Alpha-Particle Condensate Structure of the Hoyle State
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Alpha particle clusters and their condensation in nuclear systems
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study
• Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
• Exact solution of the $p_x+i{p}_y$ pairing Hamiltonian by deforming the pairing algebra
• Exotic many-body physics with large-spin Fermi gases
• Valence bond solid states with symplectic symmetry
• Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
• Competing orders in one-dimensional half-filled multicomponent fermionic cold atoms: The Haldane-charge conjecture
• Universal four-component Fermi gas in one dimension
• Ising Deconfinement Transition Between Feshbach-Resonant Superfluids
• Bound states of the ${\varphi }^4$ model via the nonperturbative renormalization group
• Ultracold atomic Bose and Fermi spinor gases in optical lattices
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• Competing orders in the generalized Hund chain model at half-filling
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
• Mott-insulator phases of spin-3/2 fermions in the presence of quadratic Zeeman coupling
• Discrete Symmetry Breaking Transitions Between Paired Superfluids
• Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions
• Duality approach to one-dimensional degenerate electronic systems
• Mott insulating phases and quantum phase transitions of interacting spin-3/2 fermionic cold atoms in optical lattices at half filling
• Charge-4$e$ Superconductivity in a Hubbard model
• Interplay between exotic superfluidity and magnetism in a chain of four-component ultracold atoms
• Two-orbital physics of high spin fermionic alkaline earth atoms confined in a one-dimensional chain
• Trionic and quartetting phases in one-dimensional multicomponent ultracold fermions
• Quantum and Thermal Phase Transitions in a Bosonic Atom-Molecule Mixture in a Two-dimensional Optical Lattice
• Emergence of Quintet Superfluidity in the Chain of Partially Polarized Spin-3/2 Ultracold Atom
• Phase Separation of Superfluids in the Chain of Four-Component Ultracold Atoms
• Metal-Insulator-Superconductor transition of spin-3/2 atoms on optical lattices
• The Symplectic Fermi Liquid and its realization in cold atomic systems
• Pairing in 4-component fermion systems: the bulk limit of SU(4)-symmetric Hamiltonians
• Magnetic Properties of the Second Mott Lobe in Pairing Hamiltonians
• Competing Valence Bond States of Spin-3/2 Fermions on a Strongly Coupled Ladder
• Strongly Interacting Phases of Metallic Wires in Strong Magnetic Field
• Competing superconducting instabilities in the one-dimensional p-band degenerate cold fermionic system
• Bound-States Dynamics in One-Dimensional Multi-Species Fermionic Systems
• Cold atoms beyond atomic physics
• Superfluidity in multicomponent fermions via the functional renormalization group
• Edge-Edge Correlations without Edge-States: $\eta$-clustering State as Ground State of the Extended Attractive SU(3) Hubbard Chain
• Repulsively-bound exciton-biexciton states in high-spin fermions in optical lattices
• Trion formation and ordering in the attractive SU(3) Fermi-Hubbard model