$\mathcal{P}\mathcal{T}$-symmetric currents of a Bose-Einstein condensate in a triple well

Abstract

We study the case of $\mathcal{P}\mathcal{T}$-symmetric perturbations of Hermitian Hamiltonians with degenerate eigenvalues using the example of a triple-well system. The degeneracy complicates the question, whether or not a stationary current through such a system can be established, i.e.\ whether or not the $\mathcal{P}\mathcal{T}$-symmetric states are stable. It is shown that this is only the case for perturbations that do not couple to any of the degenerate states. The physical explanation for the inhibition of stable currents is discussed. However, introducing an on-site interaction restores the capability to support stable currents.

6 pages, 6 figures

References in corpus (14)

• Many-Body Physics with Ultracold Gases
• Making Sense of Non-Hermitian Hamiltonians
• Visualization of Branch Points in PT-Symmetric Waveguides
• Model of a PT symmetric Bose-Einstein condensate in a delta-functions double well
• A non-Hermitian $PT-$symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
• Beyond mean-field dynamics in open Bose-Hubbard chains
• A pumped atom laser
• Stationary states of a PT-symmetric two-mode Bose-Einstein condensate
• Quantum master equation with balanced gain and loss
• Nonlinear Schrödinger equation for a PT symmetric delta-functions double well
• Mean-field dynamics of a two-mode Bose-Einstein condensate subject to noise and dissipation
• Coupling approach for the realization of a $\mathcal{P}\mathcal{T}$-symmetric potential for a Bose-Einstein condensate in a 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

Cited by in corpus (4)

• Stationary through-flows in a Bose-Einstein condensate with a PT-symmetric impurity
• Photonic currents in driven and dissipative resonator lattices
• Stationary states in the many-particle description of Bose-Einstein condensates with balanced gain and loss
• Bosonic Josephson effect in the Fano-Anderson model