Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
arXiv:cond-mat/0503187 · doi:10.1103/PhysRevLett.95.010404
Abstract
We show that the adiabatic motion of ultra-cold, multi-level atoms in spatially varying laser fields can give rise to effective non-Abelian gauge fields if degenerate adiabatic eigenstates of the atom-laser interaction exist. A pair of such degenerate dark states emerges e.g. if laser fields couple three internal states of an atom to a fourth common one under pairwise two--photon-resonance conditions. For this so-called tripod scheme we derive general conditions for truly non-Abelian gauge potentials and discuss special examples. In particular we show that using orthogonal laser beams with orbital angular momentum an effective magnetic field can be generated that has a monopole component.
4 pages, 1 figure
References in corpus (1)
Cited by in corpus (161)
- Many-Body Physics with Ultracold Gases
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Spin-Orbit Coupled Spinor Bose-Einstein Condensates
- superfluid from s-wave interactions of fermionic cold atoms
- Simulation and detection of Dirac fermions with cold atoms in an optical lattice
- Spin-orbit coupled Bose-Einstein condensates
- Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
- Spin Hall effects for cold atoms in a light induced gauge potential
- Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
- Bright solitons in spin-orbit-coupled Bose-Einstein condensates
- Observing Zitterbewegung in Ultracold Atoms
- Roadmap on Atomtronics: State of the art and perspective
- Tailoring quantum gases by Floquet engineering
- Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
- Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
- Effect of Induced Spin-Orbit Coupling for Atoms via Laser Fields
- Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates
- Generalized Rashba spin-orbit coupling for cold atoms
- BCS-BEC crossover induced by a synthetic non-Abelian gauge field
- Exotic quantum spin models in spin-orbit-coupled Mott insulators
- Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
- Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid
- Generalized Stern-Gerlach Effect for Chiral Molecules
- Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
- Non-equilibrium spin dynamics in a trapped Fermi gas with effective spin-orbit interaction
- Scattering Theory for Floquet-Bloch States
- Solitons in Bose-Einstein Condensates with Helicoidal Spin-Orbit Coupling
- Chiral Rashba spin textures in ultra-cold Fermi gases
- Quasi-relativistic behavior of cold atoms in light fields
- Topological Insulators and Metals in Atomic Optical Lattices
- Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
- Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
- Emergent patterns in a spin-orbit coupled spin-2 Bose-Einstein condensate
- Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
- Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
- Vortex-bright solitons in a spin-orbit coupled spin- condensate
- Composite fermion state of spin-orbit coupled bosons
- Nano-Scale `Dark State' Optical Potentials for Cold Atoms
- Optical lattice quantum Hall effect
- Collapse of spin-orbit coupled Bose-Einstein condensates
- Stable multi-ring and rotating solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates with a radially-periodic potential
- Symmetry classification of spin-orbit coupled spinor Bose-Einstein condensates
- Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein condensates
- Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
- Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
- Relativistic quantum effects of Dirac particles simulated by ultracold atoms
- Cold atom dynamics in non-Abelian gauge fields
- Non-Abelian magnetic monopole in a Bose-Einstein condensate
- Atomic Zitterbewegung
- Massless Dirac Fermions in a Square Optical Lattice
- Delocalization of relativistic Dirac particles in disordered one-dimensional systems and its implementation with cold atoms
- Mean-field theory for Bose-Hubbard Model under a magnetic field
- Bose-Einstein condensates with localized spin-orbit coupling: soliton complexes and spinor dynamics
- Double and negative reflection of cold atoms in non-Abelian gauge potentials
- Slow polaritons with orbital angular momentum in atomic gases
- Population dynamics in Floquet realisation of Harper-Hofstadter Hamiltonian
- Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice
- Stationary States of Trapped Spin-Orbit-Coupled Bose-Einstein Condensates
- Subwavelength-width optical tunnel junctions for ultracold atoms
- Tunable spin-orbit coupled Bose-Einstein condensates in deep optical lattices
- Metal-Insulator Transition Revisited for Cold Atoms in Non-Abelian Gauge Potentials
- Chaos-driven dynamics in spin-orbit coupled atomic gases
- Quantum simulation of artificial Abelian gauge field using nitrogen-vacancy center ensembles coupled to superconducting resonators
- Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials
- Two-Dimensional Electron Gas with Cold Atoms in Non-Abelian Gauge Potentials
- Emergence of non-abelian magnetic monopoles in a quantum impurity problem
- Ordered structures in rotating ultracold Bose gases
- Spin Field Effect Transistors with Ultracold Atoms
- Effect of molecular rotation on enantioseparation
- Spin-orbit coupling and perpendicular Zeeman field for fermionic cold atoms: observation of the intrinsic anomalous Hall effect
- Artificial non-Abelian lattice gauge fields for photons in the synthetic frequency dimension
- Manipulating atoms in an optical lattice: Fractional fermion number and its optical quantum measurement
- Line of Dirac monopoles embedded in a Bose-Einstein condensate
- Solitons in inhomogeneous gauge potentials: integrable and nonintegrable dynamics
- Geometric potentials in quantum optics: A semi-classical interpretation
- Landau levels of cold atoms in non-Abelian gauge fields
- Topological superfluids on a lattice with non-Abelian gauge fields
- The effects of optically induced non-Abelian gauge field in cold atoms
- Optical vortices of slow light using tripod scheme
- Phase-separation of vector solitons in spin-orbit coupled spin-1 condensates
- Non-abelian gauge fields and quadratic band touchings in molecular graphene
- Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields
- Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials
- FORTRESS: FORTRAN programs for solving coupled Gross-Pitaevskii equations for spin-orbit coupled spin-1 Bose-Einstein condensate
- Validity of the Lowest Landau Level Approximation for Rotating Bose Gases
- Spontaneous symmetry breaking in a spin-orbit coupled spinor condensate
- Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
- Gaussian potentials facilitate access to quantum Hall states in rotating Bose gases
- Flux lattices reformulated
- Quantum Many-Body Physics with Ultracold Polar Molecules: Nanostructured Potential Barriers and Interactions
- Simulating bosonic Chern insulators in one-dimensional optical superlattices
- Conserved quantities in non-abelian monopole fields
- Spatial enantioseparation of gaseous chiral molecules
- Interference of spin-orbit coupled Bose-Einstein condensates
- Chiral magnetic effect in three-dimensional optical lattices
- Vortex patterns of atomic Bose-Einstein condensates in a density-dependent gauge potential
- Unusual Zeeman-field effects in two-dimensional spin-orbit-coupled Fermi superfluids
- Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
- Position-dependent spin-orbit coupling for ultracold atoms
- Spin-orbital-angular-momentum-coupled quantum gases
- Drag force on a moving impurity in a spin-orbit coupled Bose-Einstein condensate
- Symbiotic solitons in a quasi-one- and quasi-two-dimensional spin-1 condensates
- Particle number fractionalization of a one-dimensional atomic Fermi gas with synthetic spin-orbit coupling
- Detecting unambiguously non-Abelian geometric phases with trapped ions
- Topological flat bands in optical checkerboard-like lattices
- Spatial patterns in optical lattices submitted to gauge potentials
- Dephasing effects on stimulated Raman adiabatic passage in tripod configurations
- Stable multi-peak vector solitons in spin-orbit coupled spin-1 polar condensates
- Interferometry with Synthetic Gauge Fields
- Vortices and vortex states in Rashba spin-orbit-coupled condensates
- Synthetic Topological Vacua of Yang-Mills Fields in Bose-Einstein Condensates
- Vortex lattices for ultracold bosonic atoms in a non-Abelian gauge potential
- A dark state of Chern bands: Designing flat bands with higher Chern number
- Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice
- Quantum Atom Optics: Theory and Applications to Quantum Technology
- Chiral edge dynamics and quantum Hall physics in synthetic dimensions with an atomic erbium Bose-Einstein condensate
- Ground states of a Bose-Einstein Condensate in a one-dimensional laser-assisted optical lattice
- Optical lattice for tripod-like atomic level structure
- Induced interactions in the BCS-BEC crossover of two-dimensional Fermi gases with Rashba spin-orbit coupling
- Synthetic non-Abelian topological charges in ultracold atomic gases
- Finite temperature coherence of the ideal Bose gas in an optical lattice
- Synthetic magnetic fields for cold erbium atoms
- Simulation of gauge transformations on systems of ultracold atoms
- Coherent control over the high-dimensional space of the nuclear spin of alkaline-earth atoms
- Non-Abelian gauge potential driven localization transition in quasiperiodic optical lattices
- Domain formation of modulation instability in spin-orbit-Rabi coupled Gross-Pitaevskii equation with cubic-quintic interactions
- Exotic Topological States with Raman-Induced Spin-Orbit Coupling
- Topological spin models in Rydberg lattices
- Spin-orbit coupled depairing of a dipolar biexciton superfluid
- Synthetic spin-orbit coupling for the multispin models in optical lattices
- Strongly correlated states of trapped ultracold fermions in deformed Landau levels
- Evolution of an ultracold gas in a non-Abelian gauge fields: Finite temperature effect
- Datta-Das transistor for atomtronic circuits using artificial gauge fields
- Universal properties of boundary and interface charges in multichannel one-dimensional continuum models
- Interplay between Rashba spin-orbit coupling and adiabatic rotation in a two-dimensional Fermi gas
- Topologically protected quantization of work
- Synthetic Gauge Structures in Real Space in a Ring lattice
- Density-Dependent Gauge Field with Raman Lattices
- Wigner-localized states in spin-orbit-coupled bosonic ultracold atoms with dipolar interaction
- Bose-Einstein Condensates in Non-abelian Gauge Fields
- Mott insulators in plaquettes
- Spin-orbit-coupling-induced magnetic heterostructure in the bilayer Bose-Hubbard system
- Geometric Ramsey Interferometry with a Tripod Scheme
- Non-Abelian geometric potentials and spin-orbit coupling for periodically driven systems
- Random Kronig-Penney-type potentials for ultracold atoms using dark states
- The synthetic gauge field and exotic vortex phase with spin-orbital-angular-momentum coupling
- Two atoms in a harmonic trap with spin-orbital-angular-momentum coupling
- Carbon-dioxide-like Skyrmion controlled by spin-orbit coupling in atomic-molecular Bose-Einstein condensates
- SU(2) Ginzburg-Landau theory for degenerate Fermi gases with synthetic non-Abelian gauge fields
- Master's Thesis: Excitation Spectrum of a Weakly Interacting Spin-Orbit Coupled Bose-Einstein Condensate
- An exactly solvable model for anyons with non-Abelian flux
- Superexponential amplification, power blowup, and solitons sustained by non-Hermitian gauge potentials
- Semi-Implicit finite-difference methods to study the spin-orbit and coherently coupled spinor Bose-Einstein condensates
- Optical lattice with spin-dependent sub-wavelength barriers
- Magnetically generated spin-orbit coupling for ultracold atoms with slowly varying periodic driving
- Orbital Optical Raman Lattice
- Mesoscopic scattering dynamics under generic uniform SU(2) gauge fields: Spin-momentum relaxation and coherent backscattering
- Quantized transport of solitons in Bose-Einstein condensates driven by spin-orbit coupling