Global phase diagram of two-component Bose gases in antiparallel magnetic fields

Abstract

We study the ground-state phase diagram of two-dimensional two-component (or pseudospin-1/2) Bose gases in mutually antiparallel synthetic magnetic fields in the space of the total filling factor and the ratio of the intercomponent coupling $g_{\uparrow \downarrow }$ to the intracomponent one g>0. This time-reversal-invariant setting represents a bosonic analogue of spin Hall systems. Using exact diagonalization, we find that (fractional) quantum spin Hall states composed of a pair of nearly independent quantum Hall states are remarkably robust and persist for $g_{\uparrow \downarrow }$ up to as large as g. For $g_{\uparrow \downarrow }=-g$, we find the exact many-body ground state in which particles in different spin states form pairs. This gives the exact critical line beyond which the system collapses.

12 pages, 14 figures. To be published in Physical Review A

References in corpus (7)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Quantum Hall States in Rapidly Rotating Two-Component Bose Gases
• Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields
• Fractional Spin Hall Effect in Atomic Bose Gases
• Interacting and fractional topological insulators via the ${\mathbb{Z}}_2$ chiral anomaly

Cited by in corpus (18)

• Topological quantum matter with cold atoms
• Non-Abelian topological insulators from an array of quantum wires
• ${\mathbb{Z}}_2$ fractional topological insulators in two dimensions
• BCS theory of time-reversal-symmetric Hofstadter-Hubbard model
• Attractive Haldane bilayers for trapping non-Abelian anyons
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• GPU-accelerated solutions of the nonlinear Schrödinger equation for simulating 2D spinor BECs
• Textured Exciton Insulators
• A Passage to Topological Matter: Colloquium
• Spin separation due to an inherent spontaneous symmetry breaking of the fractional topological insulator
• Collective modes of vortex lattices in two-component Bose-Einstein condensates under synthetic gauge fields
• Fractional quantum Hall states of dipolar fermions in a strained optical lattice
• Two-dimensional Fermi gas in antiparallel magnetic fields
• Topological phases of two-component bosons in species-dependent artificial gauge potentials
• Variational wavefunctions for fractional topological insulators
• Two-dimensional imbalanced Fermi gas in antiparallel magnetic fields
• Tuning between a fractional topological insulator and competing phases at ${\nu }_{\mathrm{T}}=2/3$
• Vortex lattices in binary Bose-Einstein condensates: Collective modes, quantum fluctuations, and intercomponent entanglement