Phase Diagrams for Spin-1 Bosons in an Optical Lattice

Abstract

In this paper, the phase diagrams of a polar spin-1 Bose gas in a three-dimensional optical lattice with linear and quadratic Zeeman effects both at zero and finite temperatures are obtained within mean-field theory. The phase diagrams can be regrouped to two different parameter regimes depending on the magnitude of the quadratic Zeeman effect $Q$. For large $Q$, only a first-order phase transition from the nematic (NM) phase to the fully magnetic (FM) phase is found, while in the case of small $Q$, a first-order phase transition from the nematic phase to the partially magnetic (PM) phase, plus a second-order phase transition from the PM phase to the FM phase is obtained. If a net magnetization in the system exists, the first-order phase transition causes a coexistence of two phases and phase separation: for large $Q$, NM and FM phases and for small $Q$, NM and PM phases. The phase diagrams in terms of net magnetization are also obtained.

References in corpus (20)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bose-Einstein condensation of chromium
• A Mott insulator of fermionic atoms in an optical lattice
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• The Mott insulator transition in two dimensions
• Imaging the Mott Insulator Shells using Atomic Clock Shifts
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Spinor Dynamics in an Antiferromagnetic Spin-1 Condensate
• Interference pattern and visibility of a Mott insulator
• Quantum Phase Transitions and Continuous Observation of Spinor Dynamics in an Antiferromagnetic Condensate
• Phase diagram of spin-1 bosons on one-dimensional lattices
• Nematic Order by Disorder in Spin-2 BECs
• A Mott Insulator of Ultracold Alkaline-Earth-Like Atoms
• Quantum fluctuation-induced uniaxial and biaxial spin nematics
• Quantum insulating states of F=2 cold atoms in optical lattices
• Dimer-Quadrupolar Quantum Phase Transition in the Quasi-One-Dimensional Heisenberg Model with Biquadratic Interaction
• Tunable Quantum Fluctuation-Controlled Coherent Spin Dynamics
• Mott phases and superfluid-insulator transition of dipolar spin-three bosons in an optical lattice: implications for Cr atoms
• Cooling into the Spin-Nematic State for a Spin-1 Bose gase in an optical lattice

Cited by in corpus (5)

• Dipolar and spinor bosonic systems
• Field-induced phase transitions of repulsive spin-1 bosons in optical lattices
• Dynamics and relaxation in spin nematics
• Dimerized and trimerized phases for spin-2 Bosons in a one-dimensional optical lattice
• Phase transitions and spin excitations of spin-1 bosons in optical lattice