Results 61 to 70 of about 33,314 (234)

Two infinite families of resonant solutions for the Gross-Pitaevskii equation [PDF]

Physical Review E, 2018
We consider the two-dimensional Gross-Pitaevskii equation describing a Bose-Einstein condensate in an isotropic harmonic trap. In the small coupling regime, this equation is accurately approximated over long times by the corresponding nonlinear resonant ...
Anxo Biasi, P. Bizoń, B. Craps, O. Evnin   +3 more
semanticscholar   +1 more source

Bright soliton behaviour of the integer and fractional nonlinear Gross-Pitaevskii equation having the generalized cubic-quintic nonlinearities via the polytropic approximation

Journal of Taibah University for Science
Based on the generalized model of the cubic-quintic Gross-Pitaevskii equation with polytropic approximation, we novelly utilize an F-expansion method to identify bright soliton dynamics of systems modelled by the cubic-quintic Gross-Pitaevskii with ...
Qingru Wang, Ying Wang, Xiaogang Tang, Changmin Hu   +3 more
doaj   +1 more source

Dirac exciton-polariton condensates in photonic crystal gratings. [PDF]

Nanophotonics
Abstract Bound states in the continuum have recently been utilized in photonic crystal gratings to achieve strong coupling and ultralow threshold condensation of exciton–polariton quasiparticles with atypical Dirac‐like features in their dispersion relation.
Sigurðsson H, Nguyen HC, Nguyen HS.
europepmc   +2 more sources

Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential

, 2005
A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for the nonstationary Gross -- Pitaevskii equation with nonlocal nonlinearity and a quadratic potential.
A V Shapovalov, A Yu Trifonov, Bang O Krolikowski W Wyller J Rasmussen J J, Belov V V, Belov V V, Belov V V, Berry M V, Berry M V, Biswas S N, Chen Z-D Liang J-Q Shen S-Q Xie W F, Deconinck B Kutz J N, Dodonov V V, F N Litvinets, Ginibre J, Gross E P, Hannay J H, Hartree D R, Hartree D R, Hartree D R, Hayashi N, Kivshar Y S, Klyshko D N, Landau L D, Lisok A L, Lisok A L, Maslov V P, Maslov V P, Messia A, Pitaevskii L P, Pitaevskii L P, Pitaevskii L P, Shchesnovich V S, Trifonov A Yu, Vinitskii S I, Yakubovich V A, Zakharov V E, Zakharov V E   +36 more
core   +1 more source

Remarks on the Blow-Up Solutions for the Critical Gross-Pitaevskii Equation

Abstract and Applied Analysis, 2013
This paper is concerned with the blow-up solutions of the critical Gross-Pitaevskii equation, which models the Bose-Einstein condensate. The existence and qualitative properties of the minimal blow-up solutions are obtained.
Xiaoguang Li, Chong Lai
doaj   +1 more source

Comparison of finite‐difference schemes for the Gross‐Pitaevskii equation

Mathematical Modelling and Analysis, 2009
A conservative finite‐difference scheme for numerical solution of the Gross‐Pitaevskii equation is proposed. The scheme preserves three invariants of the problem: the L 2 norm of the solution, the impulse functional, and the energy functional.
Vyacheslav A. Trofimov, Nikolai Peskov
doaj   +1 more source

Spatiotemporal vector vortex and diploe solitons of a nonautonomous partially nonlocal coupled Gross–Pitaevskii equation with a linear potential

Results in Physics, 2021
A 3D nonautonomous partially nonlocal coupled Gross–Pitaevskii equation is paid attention under a linear potential. The similarity reduction from a 3D nonautonomous coupled equation into an autonomous one is implemented.
Jing Yang, Yu Zhu, Wei Qin, Shaohui Wang, Jitao Li   +4 more
doaj   +1 more source

Haus/Gross-Pitaevskii equation for random lasers [PDF]

, 2010
We report on experimental tests of the trend of random laserlinewidth versus pumping power as predicted by an Haus master equation that is formally identical to the one-dimensional Gross- Pitaevskii equation in an harmonic potential. Experiments are done
Angelani, Cao, Claudio Conti, Connaughton, Conti, Dalfovo, Einstein, Fallert, Florescu, Froufe-Pérez, Gentilini, Gouedard, Haus, Haus, Kivshar, Kutz, Lamb, Lawandy, Letokhov, Letokhov, Leuzzi, Marco Leonetti, Schawlow, Störzer, Tureci, van der Molen, Weill, Wiersma, Wiersma, Wiersma, Zacharakis, Zaitsev   +31 more
core   +3 more sources

OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation [PDF]

Computer Physics Communications, 2017
We present Open Multi-Processing (OpenMP) version of Fortran 90 programs for solving the Gross–Pitaevskii (GP) equation for a Bose–Einstein condensate in one, two, and three spatial dimensions, optimized for use with GNU and Intel compilers.
L. E. Young-S., Paulsamy Muruganandam, S. Adhikari, V. Loncar, D. Vudragović, A. Balaž   +5 more
semanticscholar   +1 more source

Emerging Device Applications From Strong Light–Matter Interactions in 2D Materials

Advanced Science, Volume 13, Issue 17, 23 March 2026.
Two‐dimensional semiconductors enable extremely compact optoelectronic devices such as solar cells, sensors, LEDs, and lasers. Their strong light–matter interactions allow efficient light emission, detection, and energy conversion. This review article discusses the recent progress in integrating these materials with optical cavities and nanostructures ...
Janani Archana K, Kumar Shwetabh, Reyas Ali, Ramji Velayutham, Koustav Das, Abhishek Mondal, Prashant Kumar, Surendra B. Anantharaman   +7 more
wiley   +1 more source