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 (19)

• Many-Body Physics with Ultracold Gases
• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Visualization of Branch Points in PT-Symmetric Waveguides
• Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• PT symmetry and spontaneous symmetry breaking in a microwave billiard
• Model of a PT symmetric Bose-Einstein condensate in a delta-functions double well
• Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
• Nonlinear Tight-Binding Approximation for Bose-Einstein Condensates in a Lattice
• Optical Weak Link between Two Spatially Separate Bose-Einstein Condensates
• Stationary states of a PT-symmetric two-mode Bose-Einstein condensate
• Hermitian four-well potential as a realization of a PT-symmetric system
• Resonant tunneling of Bose-Einstein condensates in optical lattices
• Nonlinear quantum dynamics in a PT-symmetric double well
• Collisions of anisotropic two-dimensional bright solitons in dipolar Bose-Einstein condensates
• Exceptional points in bichromatic Wannier-Stark systems

Cited by in corpus (37)

• Non-Hermitian systems and topology: A transfer-matrix perspective
• Experimental realization of Floquet PT-symmetric systems
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• 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
• Tilted optical lattices with defects as realizations of PT symmetry in Bose-Einstein condensates
• Quantum battery with non-Hermitian charging
• Directed momentum current induced by the PT-symmetric driving
• Vortices in Bose-Einstein condensates with $\mathcal{P}\mathcal{T}$-symmetric gain and loss
• Generalized Berry phase for a bosonic Bogoliubov system with exceptional points
• Tight-binding lattices with an oscillating imaginary gauge field
• Purity oscillations in Bose-Einstein condensates with balanced gain and loss
• Wavepacket Self-imaging and Giant Recombinations via Stable Bloch-Zener Oscillations in Photonic Lattices with Local $\mathcal{P}\mathcal{T}$-Symmetry
• Realizing PT-symmetric BEC subsystems in closed hermitian systems
• Exact solution of a non-Hermitian $\mathcal{PT}$-symmetric Heisenberg spin chain
• Super-exponential diffusion in nonlinear non-Hermitian systems
• Topological edge states in the Su-Schrieffer-Heeger model subject to balanced particle gain and loss
• Bifurcations and exceptional points in a PT-symmetric dipolar Bose-Einstein condensate
• Effective protection of quantum coherence by non-Hermitian driving
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Stability and collisions of quantum droplets in PT -symmetric dual-core couplers
• Detecting exceptional points through dynamics in non-Hermitian systems
• Realization of $\mathcal{P}\mathcal{T}$-symmetric and $\mathcal{P}\mathcal{T}$-symmetry broken states in static optical lattice potentials
• Stationary states in the many-particle description of Bose-Einstein condensates with balanced gain and loss
• $\mathcal{P}\mathcal{T}$ symmetry-protected exceptional cones and analogue Hawking radiation
• Simple models of three coupled $\mathcal{P}\mathcal{T}$-symmetric wave guides allowing for third-order exceptional points
• Spin Josephson effects of spin-orbit-coupled Bose-Einstein condensates in a non-Hermitian double well
• Realization of balanced gain and loss in a time-dependent four-mode Bose-Hubbard model
• Fractal Nodal Band Structures
• Two-way enhancement of sensitivity by tailoring higher-order exceptional points
• Balanced gain and loss in spatially extended non-$\mathcal{P}\mathcal{T}$-symmetric multi-well potentials
• Imaginary spin-orbital coupling in parity-time symmetric systems with momentum-dependent gain and loss
• Perpetual emulation threshold of PT-symmetric Hamiltonians
• Using mixed many-body particle states to generate exact $\mathcal{P}\mathcal{T}$-symmetry in a time-dependent four-well system
• PT -symmetry breaking and universal spectral statistics in quantum kicked rotors
• Balancing gain and loss in symmetrised multi-well potentials
• The analytically tractable zoo of similarity-induced exceptional structures