Phase diagram and non-Abelian symmetry locking for fermionic mixtures with unequal interactions

Abstract

The occurrence of non-Abelian symmetry-locked states in ultracold fermionic mixtures with four components is investigated. We study the phase diagram in the presence of an attractive interaction between the species of two pairs of the mixture, and general (also repulsive) interactions between the species of each pair. This system is physically realized, e.g., in mixtures of two different earth-alkaline species, both of them with two hyperfine levels selectively populated. We find an extended region of the diagram exhibiting a two-flavors superfluid symmetry-locking (TSFL) phase. This phase is present also for not too large repulsive intra-pair interactions and it is characterized by a global non-Abelian symmetry group obtained by locking together two independent invariance groups of the corresponding normal state. Explicit estimates are reported for the mixture of the fermionic isotopes ${}^{171}\mathrm{Yb}$-${}^{173}\mathrm{Yb}$, indicating that the TFSL phase can be achieved also without tuning the interactions between $\mathrm{Yb}$ atoms.

References in corpus (48)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Experimental realisation of the topological Haldane model
• Artificial gauge potentials for neutral atoms
• Color superconductivity in dense quark matter
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Josephson Junction Arrays with Bose-Einstein Condensates
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• Fermi-Hubbard physics with atoms in an optical lattice
• Vortices, Instantons and Branes
• A one-dimensional liquid of fermions with tunable spin
• Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Non-Abelian String Junctions as Confined Monopoles
• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Gauge fields for ultracold atoms in optical superlattices
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• Realization of SU(2)*SU(6) Fermi System
• A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
• The Peierls substitution in an engineered lattice potential
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Moduli Space of Non-Abelian Vortices
• The $p_{x,y}$-orbital counterpart of graphene: cold atoms in the honeycomb optical lattice
• Dirac-point engineering and topological phase transitions in honeycomb optical lattices
• Optical Abelian Lattice Gauge Theories
• Josephson effect in fermionic superfluids across the BEC-BCS crossover
• A strongly interacting gas of two-electron fermions at an orbital Feshbach resonance
• Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
• Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice
• Ultracold Fermions in a Graphene-Type Optical Lattice
• An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
• Quasi-relativistic behavior of cold atoms in light fields
• Simulating an interacting gauge theory with ultracold Bose gases
• Schwinger pair production with ultracold atoms
• Massless Dirac Fermions in a Square Optical Lattice
• (3+1) Massive Dirac Fermions with Ultracold Atoms in Optical Lattices
• Evaluating the phase diagram of superconductors with asymmetric spin populations
• Nonabelian Monopoles
• Simulating Dirac fermions with Abelian and non-Abelian gauge fields in optical lattices
• Theory of Fermionic superfluid with SU(2)xSU(6) symmetry
• Anisotropic Ginzburg-Landau and Lawrence-Doniach Models for Layered Ultracold Fermi Gases
• Simulation of two-flavors symmetry-locking phases in ultracold fermionic mixtures

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