Spectral Gaps of Spin-orbit Coupled Particles in Deformed Traps

Abstract

We consider a spin-orbit coupled system of particles in an external trap that is represented by a deformed harmonic oscillator potential. The spin-orbit interaction is a Rashba interaction that does not commute with the trapping potential and requires a full numerical treatment in order to obtain the spectrum. The effect of a Zeeman term is also considered. Our results demonstrate that variable spectral gaps occur as a function of strength of the Rashba interaction and deformation of the harmonic trapping potential. The single-particle density of states and the critical strength for superfluidity vary tremendously with the interaction parameter. The strong variations with Rashba coupling and deformation implies that the few- and many-body physics of spin-orbit coupled systems can be manipulated by variation of these parameters.

18 pages, 6 figures, published version

References in corpus (25)

• Many-Body Physics with Ultracold Gases
• Spin-Orbit Coupled Degenerate Fermi Gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Collective Dipole Oscillation of a Spin-Orbit Coupled Bose-Einstein Condensate
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Spin-orbit coupled weakly interacting Bose-Einstein condensates in harmonic traps
• Trapped two-dimensional condensates with synthetic spin-orbit coupling
• Spin-orbit coupled Bose-Einstein condensates
• Spin-Orbit Coupled Quantum Gases
• Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
• Optical Flux Lattices for Ultracold Atomic Gases
• Generalized Rashba spin-orbit coupling for cold atoms
• Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
• Opposite effect of spin-orbit coupling on condensation and superfluidity
• Quantum phase transition of ultracold bosons in the presence of a non-Abelian synthetic gauge field
• Chaos-driven dynamics in spin-orbit coupled atomic gases
• Rashbons: Properties and their significance
• Fractional quantum Hall states of few bosonic atoms in geometric gauge fields
• Trapped fermions in a synthetic non-Abelian gauge field
• Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials
• Critical temperature of a Rashba spin-orbit coupled Bose gas in harmonic traps
• Coupled Ferromagnetic and Nematic Ordering of Fermions in an Optical Flux Lattice

Cited by in corpus (9)

• Harmonically trapped two-atom systems: Interplay of short-range s-wave interaction and spin-orbit coupling
• Harmonically Trapped Atoms with Spin-Orbit Coupling
• Statistical properties of spectra in harmonically trapped spin-orbit coupled systems
• Spin-orbit coupled bosons interacting in a two-dimensional harmonic trap
• Generation of spin-dependent coherent states in a quantum wire
• Quantum collision theory in flat bands
• Repulsively interacting fermions in a two-dimensional deformed trap with spin-orbit coupling
• Spin Hall mode in a trapped thermal Rashba gas
• Spin-Orbit Coupling in Deformed Harmonic Traps