The non-Abelian bosonic quantum ring

Abstract

We investigate the dynamics of a spinor Bose-Einstein condensate which is governed by an optically induced non-Abelian gauge potential. Using a ring shaped trap to confine the atoms and a hydrodynamic ansatz, nonlinear Josephson type equations are found to describe the system. The degenerate eigenstates which show rotation are solved exactly. We consider a homogenous filled ring and observe population dynamics between the two quasi-spin components but also space dependent Josephson oscillations. Stable mass currents can be observed which are induced by the constant non-Abelian effective magnetic field in the limit of weak interactions. For strong interactions the appearance of two-component dark soliton-like objects are observed.

Soliton magnetization dynamics in spin-orbit-coupled Bose-Einstein condensates

“…2 (Here σ x,y,z are the spin-1/2 Pauli matrices.) The energy functional of such a system [30] is given by…”

“…(Here σ x,y,z are the spin-1/2 Pauli matrices.) The energy functional of such a system [30] is given by E[Ψ] = dϕ Ψ † (H − µ) Ψ, where ϕ is the azimuthal angle, µ the chemical potential, Ψ = (ψ ↑ , ψ ↓ ) T the twocomponent (pseudo-spin-1/2) spinor order parameter in the representation where the (z) direction perpendicular to the ring's plane is the spin-quantization axis, and…”

Bose-Einstein Condensates with Spin-Orbit Interaction

“…Moreover, going from the previously studied abelian gauge fields [1,2] to the spinorbit case [3] (as well as the non-abelian regime) requires nothing more than turning down the laser power, showing that all these regimes are continuously connected to each other. In this paper, we show that in the presence of spinorbit interaction, and more generally in the presence of non-abelian gauge fields [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18], a spinor condensate will develop a spontaneous stripe structure in each spin component, reflecting a ground state made up of two nonorthogonal dressed states with different momenta. Depending on interactions, this ground state can reduce to a single dressed state.…”

Strategies to Reduce Risk and Mitigate Impacts of Disaster: Increasing Water Quality Resilience from Microplastics in the Water Supply System

“…Using technology to remove microplastics from the WSC would be costly. Remediation costs in US alone were conservatively estimated at US $162 billion for WTPs and US $176 billion for WWTPs . Water regulators are moving toward health-based targets, and it is likely that MNPs will soon be considered in the risk-based approach, especially as the global costs to society associated with plastic chemicals is projected to exceed US $100 billion/year .…”