Balanced gain and loss in Bose-Einstein condensates without PT symmetry

Abstract

Balanced gain and loss renders the mean-field description of Bose-Einstein condensates PT symmetric. However, any experimental realization has to deal with unbalancing in the gain and loss contributions breaking the PT symmetry. We will show that such an asymmetry does not necessarily lead to a system without a stable mean-field ground state. Indeed, by exploiting the nonlinear properties of the condensate, a small asymmetry can stabilize the system even further due to a self-regulation of the particle number.

7 pages, 6 figures

References in corpus (7)

• Visualization of Branch Points in PT-Symmetric Waveguides
• Model of a PT symmetric Bose-Einstein condensate in a delta-functions double well
• Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
• A pumped atom laser
• Stationary states of a PT-symmetric two-mode Bose-Einstein condensate
• Nonlinear Schrödinger equation for a PT symmetric delta-functions double well
• Coupling approach for the realization of a $\mathcal{P}\mathcal{T}$-symmetric potential for a Bose-Einstein condensate in a double well

Cited by in corpus (3)

• Stability and collisions of quantum droplets in PT -symmetric dual-core couplers
• Balanced gain and loss in spatially extended non-$\mathcal{P}\mathcal{T}$-symmetric multi-well potentials
• Classical Hamiltonian Systems with Balanced loss and gain