Quantum phases in $p$-orbital degenerated attractive 1D fermionic optical lattices

Abstract

We examine quantum phases emerged by double degeneracy of $p$-orbital bands in attractive atomic Fermi gases loaded on a 1D optical lattice. Our numerical simulations by the density-matrix renormalization group predict the emergence of a state with a charge excitation gap, the Haldane insulator phase. A mapping onto an effective spin-$1$ model reveals its physical origin. Moreover, we show that population imbalance leads to richer diversity of the quantum phases, including a phase-separated polarized state. Finally, we study the effects of harmonic trap potential in this 1D chain.

7 pages, 5 figures

References in corpus (17)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• New Trends in Density Matrix Renormalization
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Hidden order in 1D Bose insulators
• Rise and fall of hidden string order of lattice bosons
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Topological orbital ladders
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Orbital ordering and frustration of $p$-band Mott-insulators
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
• Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
• Stable Fulde-Ferrell-Larkin-Ovchinnikov pairing states in 2D and 3D optical lattices
• Quantum Antiferromagnetism of Fermions in Optical Lattices with Half-filled p-band
• Competing orders in the generalized Hund chain model at half-filling
• Quantum Phase Transitions and the Hidden Order in a Two-Chain Extended Boson Hubbard Model at Half-Odd-Integer Fillings

Cited by in corpus (8)

• Topological quantum matter with cold atoms
• Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
• Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
• One-dimensional two-orbital SU(N) ultracold fermionic quantum gases at incommensurate filling: a low-energy approach
• Symmetry-protected topological phase transition in one-dimensional Kondo lattice and its realization with ultracold atoms
• "Haldane" phases with ultracold fermionic atoms in double-well optical lattices
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Competing superconducting instabilities in the one-dimensional p-band degenerate cold fermionic system