Magnetization plateaus for spin-one bosons in optical lattices: Stern-Gerlach experiments with strongly correlated atoms

Abstract

We consider insulating states of spin-one bosons in optical lattices in the presence of a weak magnetic field. For the states with more than one atom per lattice site we find a series of quantum phase transitions between states with fixed magnetization and a canted nematic phase. In the presence of a global confining potential, this unusual phase diagram leads to several novel phenomena, including formation of magnetization plateaus. We discuss how these effects can be observed using spatially resolved density measurements.

4 pages 5 figures

References in corpus (7)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Coherent transport of neutral atoms in spin-dependent optical lattice potentials
• Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
• Spatial correlations of trapped 1d bosons in an optical lattice
• Microscopic Wave Functions of Spin Singlet and Nematic Mott States of Spin-One Bosons in High Dimensional Bipartite Lattices
• Insulator-Superfluid transition of spin-1 bosons in an optical lattice in magnetic field

Cited by in corpus (33)

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• Spin-1 Atoms in Optical Superlattices: Single-Atom Tunneling and Entanglement
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• Phase diagram of spin-1/2 bosons in one-dimensional optical lattice
• Ground-state phases in antiferromagnetic spin-crossover chains
• Polar Phase of 1D Bosons with Large Spin
• Quantum Rotors on the AB${}_2$ Chain with Competing Interactions
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• Hyperfine Spin-Two (F=2) Atoms in Three-Dimensional Optical Lattices: Phase Diagrams and Phase Transitions
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• Magnetically Stabilized Order. II: Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices
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• Rigorous Results for the Ground States of the Spin-2 Bose-Hubbard Model
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• Monte Carlo simulation of boson lattices
• Coleman-Weinberg mechanism in spinor Bose-Einstein condensates
• Spinor bosons in optical superlattices: a numerical study