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.

arXiv comment7 pages, 6 figures

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Cited by in corpus (5)

• Stability and collisions of quantum droplets in PT -symmetric dual-core couplers
• On regular and chaotic dynamics of a non-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonian system of a coupled Duffing oscillator with balanced loss and gain
• Balanced gain and loss in spatially extended non-$\mathcal{P}\mathcal{T}$-symmetric multi-well potentials
• Classical Hamiltonian Systems with Balanced loss and gain
• Balancing gain and loss in symmetrised multi-well potentials