Results 21 to 30 of about 15,266 (159)

Continuous quantum measurement of a Bose-Einstein condensate: a stochastic Gross-Pitaevskii equation [PDF]

, 2001
We analyze the dynamics of a Bose-Einstein condensate undergoing a continuous dispersive imaging by using a Lindblad operator formalism. Continuous strong measurements drive the condensate out of the coherent state description assumed within the Gross ...
Dalvit, Diego A. R., Dziarmaga, Jacek, Onofrio, Roberto   +2 more
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Deriving the Gross-Pitaevskii equation

, 2014
In experiments, Bose-Einstein condensates are prepared by cooling a dilute Bose gas in a trap. After the phase transition has been reached, the trap is switched off and the evolution of the condensate observed.
Benedikter, Niels
core   +1 more source

On the linear wave regime of the Gross-Pitaevskii equation

, 2008
We study a long wave-length asymptotics for the Gross-Pitaevskii equation corresponding to perturbation of a constant state of modulus one. We exhibit lower bounds on the first occurence of possible zeros (vortices) and compare the solutions with the ...
Bethuel, Fabrice, Danchin, Raphael, Smets, Didier   +2 more
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Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping

International Journal of Differential Equations, 2013
We study the dynamical behavior of solutions of an n-dimensional nonlinear Schrödinger equation with potential and linear derivative terms under the presence of phenomenological damping.
Renato Colucci, Gerardo R. Chacón, Andrés Vargas   +2 more
doaj   +1 more source

Unconditional uniqueness for the energy-critical nonlinear Schrödinger equation on $\mathbb {T}^{4}$

Forum of Mathematics, Pi, 2022
We consider the $\mathbb {T}^{4}$ cubic nonlinear Schrödinger equation (NLS), which is energy-critical. We study the unconditional uniqueness of solutions to the NLS via the cubic Gross–Pitaevskii hierarchy, an uncommon method for NLS analysis which is ...
Xuwen Chen, Justin Holmer
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Integral equation for inhomogeneous condensed bosons generalizing the Gross-Pitaevskii differential equation

, 2004
We give here the derivation of a Gross-Pitaevskii--type equation for inhomogeneous condensed bosons. Instead of the original Gross-Pitaevskii differential equation, we obtain an integral equation that implies less restrictive assumptions than are made in
A. J. Leggett, A. S. Alexandrov, E. H. Sondheimer, G. G. N. Angilella, I. A. Howard, J. C. Stoddart, N. H. March, N. H. March, N. H. March, R. Pucci   +9 more
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Linear "ship waves" generated in stationary flow of a Bose-Einstein condensate past an obstacle [PDF]

, 2006
Using stationary solutions of the linearized two-dimensional Gross-Pitaevskii equation, we describe the ``ship wave'' pattern occurring in the supersonic flow of a Bose-Einstein condensate past an obstacle.
A. Gammal, A. M. Kamchatnov, G. A. El, G. B. Whitham, L. P. Pitaevskii, R. S. Johnson, Yu. G. Gladush   +6 more
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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
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