Stability and collisions of quantum droplets in \(\mathcal{PT}\)-symmetric dual-core couplers

DOI10.1016/J.CNSNS.2020.105424zbMath1453.81023arXiv2007.05803OpenAlexW3036201889MaRDI QIDQ2213874

Zheng Zhou, Honghua Zhong, Bo Zhu, Hai-Bin Wang

Publication date: 3 December 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05803

zbMATH Keywords

Bose-Einstein condensatesparity-time symmetryquantum droplets

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) (2)-body potential quantum scattering theory (81U05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Soliton solutions (35C08) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Ion traps (78A37) Bosonic systems in quantum theory (81V73)

Related Items (3)

Oscillatory stability of quantum droplets in  -symmetric optical lattice ⋮ Spontaneous symmetry breaking, stability and adiabatic changes of 2D quantum droplets in amended Gross-Pitaevskii equation with multi-well potential ⋮ Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities

Cites Work

• Unnamed Item
• \({\mathcal{PT}}\)-symmetric periodic optical potentials
• Dynamics of quantum droplets in a one-dimensional optical lattice
• A Bose-Einstein condensate in a 𝒫𝒯 symmetric double well
• Complex Extension of Quantum Mechanics
• 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
• Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties
• Realizing ${\mathcal{P}}{\mathcal{T}}$-symmetric BEC subsystems in closed Hermitian systems
• Exceptional points of non-Hermitian operators
• 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
• The physics of exceptional points
• Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates

This page was built for publication: Stability and collisions of quantum droplets in \(\mathcal{PT}\)-symmetric dual-core couplers