PT-symmetric gain and loss in a rotating Bose-Einstein condensate

Abstract

PT-symmetric quantum mechanics allows finding stationary states in mean-field systems with balanced gain and loss of particles. In this work we apply this method to rotating Bose-Einstein condensates with contact interaction which are known to support ground states with vortices. Due to the particle exchange with the environment transport phenomena through ultracold gases with vortices can be studied. We find that even strongly interacting rotating systems support stable PT-symmetric ground states, sustaining a current parallel and perpendicular to the vortex cores. The vortices move through the non-uniform particle density and leave or enter the condensate through its borders creating the required net current.

8 pages, 7 figures

References in corpus (12)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Visualization of Branch Points in PT-Symmetric Waveguides
• Model of a PT symmetric Bose-Einstein condensate in a delta-functions double well
• Two-dimensional Bose-Einstein condensate in an optical surface trap
• Beyond mean-field dynamics in open Bose-Hubbard chains
• A pumped atom laser
• Quantum master equation with balanced gain and loss
• Nonlinear Schrödinger equation for a PT symmetric delta-functions double well
• Nonlinear resonant tunneling of Bose-Einstein condensates in tilted optical lattices
• Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential
• Vortices in Bose-Einstein condensates with $\mathcal{P}\mathcal{T}$-symmetric gain and loss
• Inverse problems for semiconductors: models and methods

Cited by in corpus (3)

• Stability and collisions of quantum droplets in PT -symmetric dual-core couplers
• Interplay of nonreciprocity and nonlinearity on mean-field energy and dynamics of a Bose-Einstein condensate in a double-well potential
• Imaginary spin-orbital coupling in parity-time symmetric systems with momentum-dependent gain and loss