Results 51 to 60 of about 634 (180)

Supercurrents and Tunneling in Massive Many‐Vortex Necklaces and Star‐Lattices

Annalen der Physik, Volume 537, Issue 12, December 2025.
It is numerically shown how massive many‐vortex systems, in a mixture of Bose–Einstein condensates, can host the bosonic tunneling of the infilling component in an almost‐periodic way when the vortices are organized in necklaces or star‐lattices. The purpose is to explore the conditions for the onset of Josephson supercurrents in rotating many‐vortex ...
Alice Bellettini, Vittorio Penna
wiley   +1 more source

Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form

Advances in Mathematical Physics, 2018
In the present study a particular case of Gross-Pitaevskii or nonlinear Schrödinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation.
Imre F. Barna, Mihály A. Pocsai, L. Mátyás   +2 more
doaj   +1 more source

Stationary and Dynamical Solutions of the Gross-Pitaevskii Equation for a Bose-Einstein Condensate in a PT symmetric Double Well

Acta Polytechnica, 2013
We investigate the Gross-Pitaevskii equation for a Bose-Einstein condensate in a PT symmetric double-well potential by means of the time-dependent variational principle and numerically exact solutions.
Holger Cartarius, Dennis Dast, Daniel Haag, Günter Wunner, Rüdiger Eichler, Jorg Main   +5 more
doaj  

Dynamical behaviour and solutions in the fractional Gross–Pitaevskii model

Mathematical and Computer Modelling of Dynamical Systems
The Gross–Pitaevskii equation is widely known for its applications in fields such as Bose–Einstein condensates and optical fibres. This study investigates the dynamical behaviour of various wave solutions to the M-fractional nonlinear Gross–Pitaevskii ...
Beenish, Muhammad Asim, Salah Boulaaras, Mati Ur Rahman   +3 more
doaj   +1 more source

An Efficient Compact Finite Difference Method for the Solution of the Gross-Pitaevskii Equation

Advances in Condensed Matter Physics, 2015
We present an efficient, unconditionally stable, and accurate numerical method for the solution of the Gross-Pitaevskii equation. We begin with an introduction on the gradient flow with discrete normalization (GFDN) for computing stationary states of a ...
Rongpei Zhang, Jia Liu, Guozhong Zhao
doaj   +1 more source

Domain Walls in the Coupled Gross–Pitaevskii Equations [PDF]

Archive for Rational Mechanics and Analysis, 2014
A thorough study of domain wall solutions in coupled Gross-Pitaevskii equations on the real line is carried out including existence of these solutions; their spectral and nonlinear stability; their persistence and stability under a small localized potential. The proof of existence is variational and is presented in a general framework: we show that the
Alama, Stan, Bronsard, Lia, Contreras, Andres, Pelinovsky, Dmitry E.   +3 more
openaire   +2 more sources

Discrete Chiral Ballistic Polariton Laser

Laser &Photonics Reviews, Volume 19, Issue 15, August 7, 2025.
Planar microcavities in the strong light–matter coupling regime exhibit exciton‐polariton modes with a strong chiral response toward circularly polarized light. This feature is exploited alongside inherent spin‐orbit coupling of cavity light to generate giant discrete optical vortices in polygonal arrays of exciton‐polariton condensates.
Zuzanna Werner, Andrzej Frączak, Valtýr Kári Daníelsson, Jacek Szczytko, Barbara Piętka, Helgi Sigurðsson   +5 more
wiley   +1 more source

Dynamical Symmetry and Breathers in a Two-Dimensional Bose Gas

Physical Review X, 2019
A fluid is said to be scale invariant when its interaction and kinetic energies have the same scaling in a dilation operation. In association with the more general conformal invariance, scale invariance provides a dynamical symmetry which has profound ...
R. Saint-Jalm, P. C. M. Castilho, É. Le Cerf, B. Bakkali-Hassani, J.-L. Ville, S. Nascimbene, J. Beugnon, J. Dalibard   +7 more
doaj   +1 more source

Travelling Waves for the Gross-Pitaevskii Equation II

Communications in Mathematical Physics, 2008
The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three. Our arguments, based on minimization under constraints, yield a full branch of solutions, and extend earlier results, where only a part of the branch was built.
Bethuel, Fabrice, Gravejat, Philippe, Saut, Jean-Claude   +2 more
openaire   +6 more sources

Critical Energies and Wigner Functions of the Stationary States of the Bose Einstein Condensates in a Double‐Well Trap

Advanced Quantum Technologies, Volume 8, Issue 7, July 2025.
The critical parameters and energies, at which the wave function of the Bose Einstein Condensate in a double well trap exhibit the symmetry breaking, are estimated. The phase space representation of the states is obtained trough the Wigner function and the trends of the negativities are analyzed.
D. J. Nader, E. Serrano‐Ensástiga
wiley   +1 more source