Angular Momentum of a Bose-Einstein Condensate in a Synthetic Rotational Field

Abstract

By applying a position-dependent detuning to a spin-orbit-coupled Hamiltonian with equal Rashba and Dresselhaus coupling, we exploit the behavior of the angular momentum of a harmonically trapped Bose-Einstein condensed atomic gas and discuss the distinctive role of its canonical and spin components. By developing the formalism of spinor hydrodynamics we predict the precession of the dipole oscillation caused by the synthetic rotational field, in analogy with the precession of the Foucault pendulum, the excitation of the scissors mode, following the sudden switching off of the detuning, and the occurrence of Hall-like effects. When the detuning exceeds a critical value we observe a transition from a vortex free, rigidly rotating quantum gas to a gas containing vortices with negative circulation which results in a significant reduction of the total angular momentum.

published version, 5 pages, 4 figures

References in corpus (4)

• Anisotropic dynamics of a spin-orbit coupled Bose-Einstein condensate
• Sum rules, dipole oscillation and spin polarizability of a spin-orbit coupled quantum gas
• Diffused vorticity and moment of inertia of a spin-orbit coupled Bose-Einstein condensate
• Spin-orbit-coupling induced localization in the expansion of an interacting Bose-Einstein condensate

Cited by in corpus (8)

• Coherently Coupled Mixtures of Bose-Einstein Condensed Gases
• Dynamics of Stripe Patterns in Supersolid Spin-Orbit-Coupled Bose Gases
• Gauge-potential-induced rotation of spin-orbit-coupled Bose-Einstein condensates
• (2+1)$-dimensional sonic black hole from spin-orbit coupled Bose-Einstein condensate and its analogue Hawking radiation
• Stationary states, dynamical stability, and vorticity of Bose-Einstein condensates in tilted rotating harmonic traps
• Bose-Einstein condensates with Raman-induced spin-orbit coupling : An overview
• Magnetization induced skyrmion dynamics of a spin-orbit-coupled spinor condensate under sinusoidally varying magnetic field
• Collective Oscillations of Bose-Einstein Condensates in a Synthetic Magnetic Field