Ultracold atomic Bose and Fermi spinor gases in optical lattices

Abstract

We investigate magnetic properties of Mott-insulating phases of ultracold Bose and Fermi spinor gases in optical lattices. We consider in particular the F=2 Bose gas, and the F=3/2 and F=5/2 Fermi gases. We derive effective spin Hamiltonians for one and two atoms per site and discuss the possibilities of manipulating the magnetic properties of the system using optical Feshbach resonances. We discuss low temperature quantum phases of a 87Rb gas in the F=2 hyperfine state, as well as possible realizations of high spin Fermi gases with either 6Li or 132Cs atoms in the F=3/2 state, and with 173Yb atoms in the F=5/2 state.

15 pages, 5 figures; a completely new and substantially expanded version with several errors corrected

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• Dynamics of F=2 Spinor Bose-Einstein Condensates
• Exact SO(5) Symmetry in spin 3/2 fermionic system
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• Variational study of hard-core bosons in a 2-D optical lattice using Projected Entangled Pair States (PEPS)
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• The Phase Diagrams of F=2 Spinor Bose Condensates
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
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• Spin-3 Chromium Bose-Einstein Condensates
• Competing orders in one dimensional spin 3/2 fermionic systems
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• Spin-Dependent Hubbard Model and a Quantum Phase Transition in Cold Atoms
• Quantum Noise Analysis of Spin Systems Realized with Cold Atoms
• Spin domain formation in spinor Bose-Einstein condensation
• Universality of Entanglement and Quantum Computation Complexity
• Pairing in a three component Fermi gas
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• Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
• Exactly solvable model for isospin S=3/2 fermionic atoms on an optical lattice
• Spin-one bosons in low dimensional Mott insulating states
• Exact Results for a Spin-$1$ lattice
• Flavor Degeneracy and Effects of Disorder in Ultracold Atom Systems

Cited by in corpus (15)

• Quantum computational capability of a 2D valence bond solid phase
• The bilinear-biquadratic spin-1 chain undergoing quadratic Zeeman effect
• Exotic magnetic orders for high spin ultracold fermions
• Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling
• Quantum simulator of link models using spinor dipolar ultracold atoms
• Dimerized and trimerized phases for spin-2 Bosons in a one-dimensional optical lattice
• Quantum optics and frontiers of physics: The third quantum revolution
• The ground state of binary systems with a periodic modulation of the linear coupling
• Ground-state entanglement of spin-1 bosons undergoing superexchange interactions in optical superlattices
• Competing valence bond and symmetry breaking Mott states of spin-3/2 fermions on a honeycomb lattice
• Spin liquid phases of Mott insulating ultracold bosons
• Quantum dimer models emerging from large-spin ultracold atoms
• Rigorous Results for the Ground States of the Spin-2 Bose-Hubbard Model
• Extension of the Lieb-Schupp theorem to the Heisenberg models with higher order interactions
• Dynamic response of spin-2 bosons in one-dimensional optical lattices