Vortices and vortex states in Rashba spin-orbit-coupled condensates
arXiv:1406.1198 · doi:10.1103/PhysRevA.90.023623
Abstract
The Rashba spin-orbit coupling is equivalent to the finite Yang-Mills flux of a static SU(2) gauge field. It gives rise to the protected edge states in two-dimensional topological band-insulators, much like magnetic field yields the integer quantum Hall effect. An outstanding question is which collective topological behaviors of interacting particles are made possible by the Rashba spin-orbit coupling. Here we addresses one aspect of this question by exploring the Rashba SU(2) analogues of vortices in superconductors. Using the Landau-Ginzburg approach and conservation laws, we classify the prominent two-dimensional condensates of two- and three-component spin-orbit-coupled bosons, and characterize their vortex excitations. There are two prominent types of condensates that take advantage of the Rashba spin-orbit coupling. Their vortices exist in multiple flavors whose number is determined by the spin representation, and interact among themselves through logarithmic or linear potentials as a function of distance. The vortices that interact linearly exhibit confinement and asymptotic freedom similar to quarks in quantum chromodynamics. One of the two condensate types supports small metastable neutral quadruplets of vortices, and their tiles as metastable vortex lattices. Quantum melting of such vortex lattices could give rise to non-Abelian fractional topological insulators, SU(2) analogues of fractional quantum Hall states. The physical systems in which these states could exist are trapped two- and three-component bosonic ultra-cold atoms subjected to artificial gauge fields, as well as solid-state quantum wells made either from Kondo insulators such as SmB or conventional topological insulators interfaced with conventional superconductors.
arXiv comment20 pages, 8 figures
References in corpus (87)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Topological Insulators in Three Dimensions
- Topological invariants of time-reversal-invariant band structures
- Quantum Spin Hall Effect
- A spin-orbit coupled Bose-Einstein condensate
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Spin-orbit coupling in quantum gases
- Spin-Orbit Coupled Degenerate Fermi Gases
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- Topological Kondo Insulators
- Surface States of the Topological Insulator Bi_{1-x}Sb_x
- Spin-Orbit Coupled Spinor Bose-Einstein Condensates
- Rapidly Rotating Atomic Gases
- Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
- Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
- Quantum tri-criticality and phase transitions in spin-orbit coupled Bose-Einstein condensates
- Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
- Low-temperature surface conduction in the Kondo insulator SmB
- Spin Hall Insulator
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Topological surface state in the Kondo Insulator Samarium Hexaboride
- Spin-orbit coupled weakly interacting Bose-Einstein condensates in harmonic traps
- Trapped two-dimensional condensates with synthetic spin-orbit coupling
- Robust Surface Hall Effect and Nonlocal Transport in SmB6: Indication for an Ideal Topological Insulator
- Unconventional Bose-Einstein condensations from spin-orbit coupling
- Spin-orbit coupled Bose-Einstein condensates
- Condensation of `composite bosons' in a rotating BEC
- Spin-Orbit Coupled Quantum Gases
- Realistic Rashba and Dressehaus spin-orbit coupling for neutral atoms
- Spin Hall effects for cold atoms in a light induced gauge potential
- The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
- A theory of Topological Kondo Insulators
- Raman processes and effective gauge potentials
- The spin Hall effect in a quantum gas
- Synthetic 3D Spin-Orbit Coupling
- Quantum Hall fractions in rotating Bose-Einstein condensates
- Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
- Magnetically generated spin-orbit coupling for ultracold atoms
- Effect of Induced Spin-Orbit Coupling for Atoms via Laser Fields
- Hybridization, Inter-Ion Correlation, and Surface States in the Kondo Insulator SmB6
- Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates
- Generalized Rashba spin-orbit coupling for cold atoms
- Vortices in spin-orbit-coupled Bose-Einstein condensates
- Exotic quantum spin models in spin-orbit-coupled Mott insulators
- Unconventional states of bosons with synthetic spin-orbit coupling
- Spin-orbit coupling and spin Hall effect for neutral atoms without spin-flips
- Vortex structures of rotating spin-orbit coupled Bose-Einstein condensates
- Chiral Rashba spin textures in ultra-cold Fermi gases
- Topological Insulators and Metals in Atomic Optical Lattices
- Exotic superfluidity in spin-orbit coupled Bose-Einstein condensates
- Magnetic phases of bosons with synthetic spin-orbit coupling in optical lattices
- Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
- The Raman dressed spin-1 spin-orbit coupled quantum gas
- Quantum quasicrystals of spin-orbit coupled dipolar bosons
- Meron Ground State of Rashba Spin-Orbit-Coupled Dipolar Bosons
- Composite fermion state of spin-orbit coupled bosons
- Order by Disorder in Spin-Orbit Coupled Bose-Einstein Condensates
- Paired Superfluidity and Fractionalized Vortices in Spin-orbit Coupled Bosons
- Symmetry classification of spin-orbit coupled spinor Bose-Einstein condensates
- Crystallized merons and inverted merons in the condensation of spin-1 Bose gases with spin-orbit coupling
- Ground-state phases of ultracold bosons with Rashba-Dresselhaus spin-orbit coupling
- Universal phase structure of dilute Bose gases with Rashba spin-orbit coupling
- Cold atom dynamics in non-Abelian gauge fields
- Practical scheme for a light-induced gauge field in an atomic Bose gas
- Bose-Einstein Condensation in the presence of an artificial spin-orbit interaction
- Stationary States of Trapped Spin-Orbit-Coupled Bose-Einstein Condensates
- Renormalization of interactions of ultracold atoms in simulated Rashba gauge fields
- Striped states in weakly trapped ultracold Bose gases with Rashba spin-orbit coupling
- Condensation transition of ultracold Bose gases with Rashba spin-orbit coupling
- Emergence of Topological and Strongly Correlated Ground States in trapped Rashba Spin-Orbit Coupled Bose Gases
- Density profiles and collective modes of a Bose-Einstein condensate with light-induced spin-orbit coupling
- Fractional topological insulators of Cooper pairs induced by proximity effect
- s-wave Cooper pair insulators and theory of correlated superconductors
- Unitarity in periodic potentials: a renormalization group analysis
- Spin-orbit coupling induced separation and hidden spin textures in spin-1 Bose-Einstein condensates
- Interaction proximity effect at the interface between a superconductor and a topological insulator quantum well
- Effective theory of fractional topological insulators in two spatial dimensions
- Spontaneous ferromagnetism in the spinor Bose gas with Rashba spin-orbit coupling
- Two-dimensional fermionic superfluids, pairing instability and vortex liquids in the absence of time reversal symmetry
- The phase diagram of two-dimensional fast-rotating ultra-cold fermionic atoms near unitarity
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- Quantum field theory of topological spin dynamics
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- Magnetic and nematic phases in a Weyl type spin-orbit-coupled spin-1 Bose gas
- Superconducting meron phase in locally noncentrosymmetric superconductors
- Effect of non-local interactions on the vortex solution in Bose-Einstein Condensates
- Tunable zero-energy Dirac and Luttinger nodes in a two-dimensional topological superconductor