Realizing PT-symmetric non-Hermiticity with ultra-cold atoms and Hermitian multi-well potentials

Abstract

We discuss the possibility of realizing a non-Hermitian, i.e. an open two-well system of ultra-cold atoms by enclosing it with additional time-dependent wells that serve as particle reservoirs. With the appropriate design of the additional wells PT-symmetric currents can be induced to and from the inner wells, which support stable solutions. We show that interaction in the mean-field limit does not destroy this property. As a first method we use a simplified variational ansatz leading to a discrete nonlinear Schrödinger equation. A more accurate and more general variational ansatz is then used to confirm the results.

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Visualization of Branch Points in PT-Symmetric Waveguides
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Model of a PT symmetric Bose-Einstein condensate in a delta-functions double well
• Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
• Stationary states of a PT-symmetric two-mode Bose-Einstein condensate
• Resonant tunneling of Bose-Einstein condensates in optical lattices
• Collisions of anisotropic two-dimensional bright solitons in dipolar Bose-Einstein condensates

Cited by in corpus (8)

• Coupling approach for the realization of a $\mathcal{P}\mathcal{T}$-symmetric potential for a Bose-Einstein condensate in a double well
• Localization, quantum resonances and ratchet acceleration in a periodically-kicked $\mathcal{P}\mathcal{T}$-symmetric quantum rotator
• Directed momentum current induced by the PT-symmetric driving
• Stability and collisions of quantum droplets in PT -symmetric dual-core couplers
• Realization of $\mathcal{P}\mathcal{T}$-symmetric and $\mathcal{P}\mathcal{T}$-symmetry broken states in static optical lattice potentials
• Simple models of three coupled $\mathcal{P}\mathcal{T}$-symmetric wave guides allowing for third-order exceptional points
• Realization of balanced gain and loss in a time-dependent four-mode Bose-Hubbard model
• Balanced gain and loss in spatially extended non-$\mathcal{P}\mathcal{T}$-symmetric multi-well potentials