Nontrivial Haldane phase of an atomic two-component Fermi gas trapped in a 1d optical lattice

Abstract

We propose how to create a non-trivial Haldane phase in atomic two-component Fermi-gas loaded on one-dimensional (1-D) optical lattice with trap potential. The Haldane phase is naturally formed on $p$-band Mott core in a wide range of the strong on-site repulsive interaction. The present proposal is composed of two steps, one of which is theoretical derivation of an effective 1-D S=1 interacting-chain model from the original tight-binding Hamiltonian handling the two $p$-orbitals, and the other of which is numerical demonstration employing the density-matrix renormalization-group for the formation of the Haldane phase on $p$-band Mott core and its associated features in the original tight-binding model with the harmonic trap potential.

5pages,4figures

References in corpus (19)

• 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
• Single-Spin Addressing in an Atomic Mott Insulator
• New Trends in Density Matrix Renormalization
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Hidden order in 1D Bose insulators
• Implementation of Spin Hamiltonians in Optical Lattices
• Rise and fall of hidden string order of lattice bosons
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Measurement-based quantum computer in the gapped ground state of a two-body Hamiltonian
• Quantum computation on the edge of a symmetry-protected topological order
• Orbital ordering and frustration of $p$-band Mott-insulators
• Coherent light scattering from a two-dimensional Mott insulator
• Quantum Antiferromagnetism of Fermions in Optical Lattices with Half-filled p-band
• Competing orders in the generalized Hund chain model at half-filling
• Fermions in optical lattices near a Feshbach resonance: from band insulator to Mott insulator
• Mott Phase in Polarized Two-component Atomic Fermi Lattice Gas:A Playground for S=1/2 Heisenberg Model in Magnetic Field
• Quantum Phase Transitions and the Hidden Order in a Two-Chain Extended Boson Hubbard Model at Half-Odd-Integer Fillings

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• Haldane Topological Orders in Motzkin Spin Chains
• Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
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• Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model
• One-dimensional two-orbital SU(N) ultracold fermionic quantum gases at incommensurate filling: a low-energy approach
• Hidden Magnetism in Periodically Modulated One Dimensional Dipolar Fermions
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• Symmetry-protected topological phase transition in one-dimensional Kondo lattice and its realization with ultracold atoms
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• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
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• Quantum phases in $p$-orbital degenerated attractive 1D fermionic optical lattices
• Spin-orbit coupled repulsive Fermi atoms in a one-dimensional optical lattice
• Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
• Competing superconducting instabilities in the one-dimensional p-band degenerate cold fermionic system
• Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients
• Topological phases of bosons with local parity coupling on a dimerized lattice