Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities

DOI10.1016/J.PHYSD.2022.133527OpenAlexW4297201057WikidataQ114141859 ScholiaQ114141859MaRDI QIDQ2104193

Jin Song, Zhenya Yan

Publication date: 9 December 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2022.133527

zbMATH Keywords

\(\mathcal{PT}\)-symmetric potentialstable solitonsamended Gross-Pitaevskii equationsquantum dropletssoliton interactions and excitations

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (2)

Complex dynamics on the one-dimensional quantum droplets via time piecewise PINNs ⋮ Spontaneous symmetry breaking, stability and adiabatic changes of 2D quantum droplets in amended Gross-Pitaevskii equation with multi-well potential

Cites Work

• The nonlinear Schrödinger equation. Singular solutions and optical collapse
• Newton-conjugate-gradient methods for solitary wave computations
• Dynamics of quantum droplets in a one-dimensional optical lattice
• Stability and collisions of quantum droplets in \(\mathcal{PT}\)-symmetric dual-core couplers
• Vector solitons in nonlinear fractional Schrödinger equations with parity-time-symmetric optical lattices
• Nonlinear Waves in Integrable and Nonintegrable Systems
• 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
• Analytical solutions to a class of nonlinear Schrödinger equations with {\cal PT} -like potentials
• 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
• Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential
• Oscillatory stability of quantum droplets in  -symmetric optical lattice

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