A Bose-Einstein condensate in a 𝒫𝒯 symmetric double well

DOI10.1002/prop.201200080zbMath1338.81428OpenAlexW1539193342MaRDI QIDQ2812921

Dennis Dast, Jörg Main, Daniel Haag, R. Eichler, Holger Cartarius, Günter Wunner

Publication date: 13 June 2016

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/prop.201200080

zbMATH Keywords

Bose-Einstein condensatesGross-Pitaevskii equationdouble welltime-dependent variational principle\(\mathscr{PT}\) symmetry

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Variational principles of physics (49S05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (13)

Dynamics of generalized PT-symmetric dimers with time-periodic gain-loss ⋮ Spatiotemporal localized solitons in cubic and power-law competing nonlinear media with different diffractions and \(\mathcal {PT}\)-symmetric potentials ⋮ On the quantum mechanics of bicomplex Hamiltonian system ⋮ New scattering features of quaternionic point interaction in non-Hermitian quantum mechanics ⋮ Supersymmetric model of a Bose-Einstein condensate in a \(\mathcal{PT}\)-symmetric double-delta trap ⋮ The spectrum of a harmonic oscillator operator perturbed by point interactions ⋮ Finite element calculations of \(\mathcal{PT}\)-symmetric Bose-Einstein condensates ⋮ Stationary hypergeometric solitons and their stability in a Bose-Einstein condensate with \(\mathcal{PT}\)-symmetric potential ⋮ Stability and collisions of quantum droplets in \(\mathcal{PT}\)-symmetric dual-core couplers ⋮ Using mixed many-body particle states to generate exact $\mathcal{PT} $ -symmetry in a time-dependent four-well system ⋮ Perpetual emulation threshold of $\mathcal{PT}$ -symmetric Hamiltonians ⋮ Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels ⋮ Balancing gain and loss in symmetrised multi-well potentials

Cites Work

• Visualization of Branch Points in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Waveguides
• Structure of a quantized vortex in boson systems
• Analytical solutions to a class of nonlinear Schrödinger equations with {\cal PT} -like potentials
• A non-Hermitian \mathcal{P}\mathcal{T} symmetric Bose–Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Physical realization of -symmetric potential scattering in a planar slab waveguide

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