Jahn-Teller induced Berry phase in spin-orbit coupled Bose-Einstein condensates

Abstract

We demonstrate that Berry phases may greatly affect the dynamics of spin-orbit coupled Bose-Einstein condensates. The effective model Hamiltonian under consideration is shown to be equivalent to the Exe Jahn-Teller model first introduced in molecular physics. The corresponding conical intersection is identified and the Berry phase acquired for a wave packet encircling the intersection studied. It is found that this phase manifests itself in the density profile of the condensate, making it a directly measurable quantity via time-of-flight detection. Moreover, the non-Abelian gauge structure of the system is addressed and we verify how it affects the dynamics.

9 pages, 7 figures. Published version

References in corpus (29)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Spin-orbit coupled Bose-Einstein condensates
• Spin Hall effects for cold atoms in a light induced gauge potential
• Adiabatic Theory of Nonlinear Evolution of Quantum States
• Observing Zitterbewegung in Ultracold Atoms
• Non-equilibrium spin dynamics in a trapped Fermi gas with effective spin-orbit interaction
• Spin Hall Effect in Atoms
• Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta
• Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
• Identifying wave packet fractional revivals by means of information entropy
• Adiabatic Geometric Phase for a General Quantum States
• Cold atom dynamics in non-Abelian gauge fields
• Practical scheme for a light-induced gauge field in an atomic Bose gas
• Atomic Zitterbewegung
• Non-Abelian magnetic monopole in a Bose-Einstein condensate
• Double and negative reflection of cold atoms in non-Abelian gauge potentials
• Jahn-Teller systems from a cavity QED perspective
• Spin Field Effect Transistors with Ultracold Atoms
• Geometric potentials in quantum optics: A semi-classical interpretation
• Landau levels of cold atoms in non-Abelian gauge fields
• The effects of optically induced non-Abelian gauge field in cold atoms
• Validity of adiabaticity in Cavity QED
• Single electron control in n-type semiconductor quantum dots using non-Abelian holonomies generated by spin orbit coupling
• Detecting unambiguously non-Abelian geometric phases with trapped ions
• Loschmidt echo and Berry phase around degeneracies in nonlinear systems
• Control of the geometric phase and pseudo-spin dynamics on coupled Bose-Einstein condensates

Cited by in corpus (42)

• Artificial gauge potentials for neutral atoms
• Experimental realization of a two-dimensional synthetic spin-orbit coupling in ultracold Fermi gases
• Spin-orbit coupled weakly interacting Bose-Einstein condensates in harmonic traps
• Trapped two-dimensional condensates with synthetic spin-orbit coupling
• Unconventional Bose-Einstein condensations from spin-orbit coupling
• Spin-Orbit Coupled Quantum Gases
• Realistic Rashba and Dressehaus spin-orbit coupling for neutral atoms
• Half-quantum vortex state in a spin-orbit coupled Bose-Einstein condensate
• Generalized Rashba spin-orbit coupling for cold atoms
• Vortices in spin-orbit-coupled Bose-Einstein condensates
• Bose-Einstein Condensates in Spin-Orbit Coupled Optical Lattices: Flat Bands and Superfluidity
• Localization of a spin-orbit coupled Bose-Einstein condensate in a bichromatic optical lattice
• Bose-Einstein Condensation in the presence of an artificial spin-orbit interaction
• Vortex lattice solutions to the Gross-Pitaevskii equation with spin-orbit coupling in optical lattices
• Spin-orbit coupled Bose-Einstein condensate in a tilted optical lattice
• Chaos-driven dynamics in spin-orbit coupled atomic gases
• Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials
• Macroscopic Klein Tunneling in spin-orbit coupled Bose-Einstein Condensates
• Conical intersections in an ultracold gas
• Critical temperature of a Rashba spin-orbit coupled Bose gas in harmonic traps
• Ultracold atoms in U(2) non-Abelian gauge potentials preserving the Landau levels
• Rashba realization: Raman with RF
• Spin coherent states in NMR quadrupolar system: experimental and theoretical applications
• Radio-frequency spectroscopy of weakly bound molecules in spin-orbit coupled atomic Fermi gases
• Simulation of Jahn-Teller-Dicke Magnetic Structural Phase Transition with Trapped Ions
• Statistical properties of spectra in harmonically trapped spin-orbit coupled systems
• Vortices on demand in multicomponent Bose-Einstein condensates
• The non-Abelian bosonic quantum ring
• Optically induced conical intersections in traps for ultracold atoms and molecules
• Thermodynamics of spin-orbit-coupled Bose-Einstein condensates
• Non-adiabatic dynamics in Rydberg gases with random atom positions
• Anomalous molecular dynamics in the vicinity of conical intersections
• Travelling to exotic places with cavity QED systems
• Repulsively interacting fermions in a two-dimensional deformed trap with spin-orbit coupling
• Spin Hall mode in a trapped thermal Rashba gas
• Control of Tripod-Scheme Cold-Atom Wavepackets by Manipulating a non-Abelian Vector Potential
• Many body population trapping in ultracold dipolar gases
• Realization of adiabatic Aharonov-Bohm scattering with neutrons
• Two parameters scaling approach to Anderson localization of weekly interacting BEC
• Enhanced Parameter Estimation with Periodically Driven Quantum Probe
• Introducing Time-dependent Molecular Fields: Derivation of the Wave Equations
• Proposed neutron interferometry test of Berry's phase for a circulating planar spin