Thermal Phase Transitions of Strongly Correlated Bosons with Spin-Orbit Coupling

Abstract

Experiments on ultracold atomic gases have begun to explore lattice effects and thermal fluctuations for two-component bosons with spin-orbit coupling (SOC). Motivated by this, we study a $tJ$ model of strongly correlated lattice bosons, with equal Rashba-Dresselhaus SOC and a uniform magnetic field. At zero temperature, a Gutzwiller ansatz is shown to capture lattice variants of stripe superfluid (SF) ground states. We formulate a finite temperature generalization of the Gutzwiller approach and show that thermal fluctuations in the doped Mott insulator drive a two-step melting of the stripe SF, revealing a wide intermediate regime of a normal fluid with stripe order.

5 pages, 2 figures, Appendix (3 pages, 1 figure), published version

References in corpus (11)

• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Spin-orbit coupled Bose-Einstein condensates
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Anisotropic dynamics of a spin-orbit coupled Bose-Einstein condensate
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
• Stability of ultracold atomic Bose condensates with Rashba spin-orbit coupling against quantum and thermal fluctuations
• Composite fermion state of spin-orbit coupled bosons
• Striped states in weakly trapped ultracold Bose gases with Rashba spin-orbit coupling
• Topological transport in a spin-orbit coupled bosonic Mott insulator
• Stoner ferromagnetism in a thermal pseudospin-1/2 Bose gas

Cited by in corpus (10)

• Striped Ferronematic ground states in a spin-orbit coupled $S=1$ Bose gas
• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Emergence of a spin microemulsion in spin-orbit coupled Bose-Einstein condensates
• Quantum Phases of Two-Component Bosons with Spin-Orbit Coupling in Optical Lattices
• Spin-valley magnetism on the triangular moiré lattice with SU(4) breaking interactions
• Thermal transitions of the modulated superfluid for spin-orbit coupled correlated bosons in an optical lattice
• Network of chiral one-dimensional channels and localized states emerging in a moiré system
• Density-Dependent Gauge Field with Raman Lattices
• Spin-orbit coupled mean-field Bose gas at finite temperature
• Thermal Casimir effect in the spin-orbit coupled Bose gas