Mean-Field Analysis of Spinor Bosons in Optical Superlattices
arXiv:1207.2911 · doi:10.1103/PhysRevA.86.023624
Abstract
We study the ground-state phase diagram of spinless and spin-1 bosons in optical superlattices using a Bose-Hubbard Hamiltonian that includes spin-dependent interactions. We decouple the unit cells of the superlattice via a mean-field approach and take into account the dynamics within the unit cell exactly. The system supports Mott-insulating as well as superfluid phases. The transitions between these phases are second-order for spinless bosons and second- or first-order for spin-1 bosons. Anti-ferromagnetic interactions energetically penalize high-spin configurations and elongate all Mott lobes, especially the ones corresponding to an even atom number on each lattice site. We find that the quadratic Zeeman effect lifts the degeneracy between different polar superfluid phases leading to additional metastable phases and first-order phase transitions. Finally, we show that an energy offset between the two sites of the unit cell induces a staircase of single-atom tunneling resonances which surprisingly survives well into the superfluid regime.
arXiv comment11 pages, 16 figures
References in corpus (31)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Spinor Bose Condensates in Optical Traps
- Spin domains in ground state spinor Bose-Einstein condensates
- Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Direct Observation of Second Order Atom Tunnelling
- Controlled exchange interaction between pairs of neutral atoms in an optical lattice
- A lattice of double wells for manipulating pairs of cold atoms
- Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
- Sublattice addressing and spin-dependent motion of atoms in a double-well lattice
- Counting atoms using interaction blockade in an optical superlattice
- Superfluid-Mott Insulator Transition of Spin-1 Bosons in an Optical Lattice
- First-order superfluid-Mott insulator transition of spinor bosons in an optical lattice
- Phases and Transitions in the Spin-1 Bose-Hubbard Model: Systematics of a Mean-field Theory
- Incommensurate superfluidity of bosons in a double-well optical lattice
- Spin-1 bosons with coupled ground states in optical lattices
- Magnetization plateaus for spin-one bosons in optical lattices: Stern-Gerlach experiments with strongly correlated atoms
- Field-induced phase transitions of repulsive spin-1 bosons in optical lattices
- Preparation and detection of magnetic quantum phases in optical superlattices
- First- and second-order superfluid--Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices
- Quantum Phases of Bose-Hubbard Model in Optical Superlattices
- Creation of resilient entangled states and a resource for measurement-based quantum computation with optical superlattices
- Disordered spinor Bose-Hubbard model
- Spin-1 Atoms in Optical Superlattices: Single-Atom Tunneling and Entanglement
- A single fermion in a Bose Josephson Junction
- Analytical mean-field approach to the phase-diagram of ultracold bosons in optical superlattices
- The single-atom box: bosonic staircase and effects of parity
- Spin effects in Bose-Glass phases
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- Dipolar and spinor bosonic systems
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- Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
- Superfluid phases of spin-1 bosons in cubic optical lattice
- Strong-coupling expansion for the spin-1 Bose-Hubbard model
- Magnetic phase diagram and quantum phase transitions in a two-species boson model
- Magnetic phases of spin-1 lattice gases with random interactions
- Ground-states of spin-1 bosons in asymmetric double-wells
- Effective orbital ordering in multiwell optical lattices with fermionic atoms
- Spinor bosons in optical superlattices: a numerical study