Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap

Abstract

We study spin 3/2 fermionic cold atoms with attractive interactions confined in a one-dimensional optical lattice. Using numerical techniques, we determine the phase diagram for a generic density. For the chosen parameters, one-particle excitations are gapped and the phase diagram is separated into two regions: one where the two-particle excitation gap is zero, and one where it is finite. In the first region, the two-body pairing fluctuations (BCS) compete with the density ones. In the other one, a molecular superfluid (MS) phase, in which bound-states of four particles form, competes with the density fluctuations. The properties of the transition line between these two regions is studied through the behavior of the entanglement entropy. The physical features of the various phases, comprising leading correlations, Friedel oscillations, and excitation spectra, are presented. To make the connection with experiments, the effect of a harmonic trap is taken into account. In particular, we emphasize the conditions under which the appealing MS phase can be realized, and how the phases could be probed by using the density profiles and the associated structure factor. Lastly, the consequences on the flux quantization of the different nature of the pairing in the BCS and MS phases are studied in a situation where the condensate is in a ring geometry.

15 pages, 21 figures

References in corpus (66)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Theory of ultracold Fermi gases
• Spinor Bose Condensates in Optical Traps
• A Mott insulator of fermionic atoms in an optical lattice
• Stochastic series expansion method with operator-loop update
• The ALPS project release 1.3: open source software for strongly correlated systems
• Regimes of quantum degeneracy in trapped 1D gases
• Bosonizing one-dimensional cold atomic gases
• Collisional stability of a three-component degenerate Fermi gas
• Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Degenerate Fermi Gases of Ytterbium
• Ultracold fermions and the SU(N) Hubbard model
• Precise determination of ${}^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Four-particle condensate in strongly coupled fermion systems
• Stability and phase coherence of trapped 1D Bose gases
• Generalized Directed Loop Method for Quantum Monte Carlo Simulations
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
• Pairing of Cooper Pairs in a Fully Frustrated Josephson Junction Chain
• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• Competing orders in one dimensional spin 3/2 fermionic systems
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Local quantum criticality in confined fermions on optical lattices
• Friedel oscillations for interacting fermions in one dimension
• Holonomic quantum computation in decoherence-free subspaces
• Does the attractive Hubbard model support larger persistent currents than the repulsive one ?
• A Storage Ring for Neutral Atoms
• Spatial correlations of trapped 1d bosons in an optical lattice
• Superfluidity and magnetism in multicomponent ultracold fermions
• Dilute Fermi gas in quasi-one-dimensional traps: From weakly interacting fermions via hard core bosons to weakly interacting Bose gas
• Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Pairing of Fermions with Arbitrary Spin
• BCS pairing in Fermi systems with several flavors
• Trionic phase of ultracold fermions in an optical lattice: A variational study
• Tomonaga-Luttinger parameters for doped Mott insulators
• Quantum Impurity Entanglement
• Pairing in a three component Fermi gas
• Entropic analysis of quantum phase transitions from uniform to spatially inhomogeneous phases
• Superfluidity in a Three-flavor Fermi Gas with SU(3) Symmetry
• Confinement vs Deconfinement of Cooper Pairs in One-Dimensional Spin-3/2 Fermionic Cold Atoms
• Dressed Qubits
• Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
• Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
• Pair condensation and bound states in fermionic systems
• Superfluidity in Three-species Mixture of Fermi Gases across Feshbach Resonances
• Spectral convexity for attractive SU(2N) fermions
• Vortices in coupled planes with columnar disorder and bosonic ladders
• 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
• On Quartet Superfluidity of Fermionic Atomic Gas
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• Bipairing and the Stripe Phase in 4-Leg Ladders
• Commensurability effects for fermionic atoms trapped in 1D optical lattices
• Stability of Inhomogeneous Multi-Component Fermi Gases
• Insulating charge density wave for a half-filled SU(N) Hubbard model with an attractive on-site interaction in one dimension
• Low-energy excitations of the one-dimensional half-filled SU(4) Hubbard model with an attractive on-site interaction: Density-matrix renormalization-group calculations and perturbation theory
• Magnetic Stability Analysis for Abelian and Non-Abelian Superconductors
• `Baryonic' bound-state instability in trapped fermionic atoms
• Emergence of atomic-density waves in a trapped Luther-Emery fermion gas

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• Competing orders in one-dimensional half-filled multicomponent fermionic cold atoms: The Haldane-charge conjecture
• Ising Deconfinement Transition Between Feshbach-Resonant Superfluids
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• Discrete Symmetry Breaking Transitions Between Paired Superfluids
• Mott-insulator phases of spin-3/2 fermions in the presence of quadratic Zeeman coupling
• Duality approach to one-dimensional degenerate electronic systems
• Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions
• Crystallization of trions in SU(3) cold atom gases trapped in optical lattices
• Variational Quantum Eigensolver for SU($N$) Fermions
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• Entanglement Entropy of the Low-Lying Excited States and Critical Properties of an Exactly Solvable Two-Leg Spin Ladder with Three-Spin Interactions
• One-dimensional itinerant interacting non-Abelian anyons
• One-dimensional two-orbital SU(N) ultracold fermionic quantum gases at incommensurate filling: a low-energy approach
• Pairing in spin chains and spinless fermions with next-nearest neighbour interactions
• Charge-4$e$ Superconductivity in a Hubbard model
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• Magnetic field induced band insulator to Mott insulator transformations in 4-component alkali fermions at half-filling
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• Edge-Edge Correlations without Edge-States: $\eta$-clustering State as Ground State of the Extended Attractive SU(3) Hubbard Chain
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