Results 81 to 90 of about 15,266 (159)

Fractonic superfluids

Physical Review Research, 2020
We propose a superfluid phase of “many-fracton system” in which charge and total dipole moments are conserved quantities. In this work, both microscopic model and long-wavelength effective theory are analyzed. We start with a second quantized microscopic
Jian-Keng Yuan, Shuai A. Chen, Peng Ye
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Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term

, 2008
In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an rotational angular momentum term in the space $\Real^2$.Comment: 10 ...
Avron, Bao, Bao, Borisov, Carles, Carles, Cazenave, Gross, Hall, Keel, Landau, Madison, Madison, Matthews, Pitaevskii, Pitaevskii, Zhang   +16 more
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Tensor network methods for the Gross–Pitaevskii equation on fine grids

New Journal of Physics
The Gross–Pitaevskii equation and its generalisations to dissipative and dipolar gases have been very useful in describing dynamics of cold atomic gases, as well as polaritons and other nonlinear systems.
Ryan J J Connor, Callum W Duncan, Andrew J Daley   +2 more
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The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring

Comptes Rendus. Physique
We present a detailed investigation of one of the cleanest examples where it is possible to detect the “analog” Dynamical Casimir Effect in a Bose–Einstein condensate: an ultracold atom gas in toroidal confinement.
Tettamanti, Manuele, Parola, Alberto
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Interacting bosons in an optical lattice

, 2007
Several models of a strongly interacting Bose gas in an optical lattice are studied within the functional-integral approach. The one-dimensional Bose gas is briefly discussed.
Aftalion, Aizenman, Anderson, Astrakharchik, Ates, Batrouni, Batrouni, Bergkvist, Bose, Bradley, Chevy, Chiofalo, Cornish, Courteille, Dalfovo, Davis, Dickerscheid, DuBois, Duine, Einstein, Fabrocini, Feder, Fetter, Feynman, Fialko, Fisher, Forgacs, Gangardt, Gangardt, Girardeau, Goldstone, Greiner, Greiner, Grimm, Gross, Hohenberg, Hubbard, Huber, Inouye, Jaksch, Jochim, Kampf, Kinoshita, Kleinert, Kotliar, Köhler, Leggett, Liang, Linn, Lu, Menotti, Mermin, Moseley, Nilsen, Ohashi, Olshanii, Papenbrock, Paredes, Paredes, Paredes, Penrose, Pitaevskii, Posazhennikova, Pupillo, Rey, Rigol, Roberts, Stoof, Stringari, Svidzinsky, Tempere, Timmermans, van Oosten, Wölfle, Yukalov, Ziegler, Ziegler, Ziegler, Ziegler, Ziegler, Ziegler, Ziegler, Zwierlein   +82 more
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Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation

Physical Review Research
Solving partial differential equations across multiple length scales represents a formidable challenge where reaching high precision can require a prohibitive amount of computer memory or computing time.
Marcel Niedermeier, Adrien Moulinas, Thibaud Louvet, Jose L. Lado, Xavier Waintal   +4 more
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Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method

AIP Advances, 2014
We give a more generalized treatment of the 1D generalized Gross-Pitaevskii equation (GGPE) with variable term coefficients. External harmonic trapping potential is fully considered and the nonlinear interaction term is of arbitrary polytropic index of ...
Ying Wang, Yu Zhou
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Spatially localized trains of soliton in attractive Bose-Einstein condensates with periodic potential

Partial Differential Equations in Applied Mathematics
We investigate the spatial profiles of periodic localized modes in attractive Bose-Einstein condensates, by solving the mean-field Gross-Pitaevskii equation in the presence of elliptic-type periodic potential.
Nkeh Oma Nfor, Akoni Brikly Njinabo, Francois Marie Moukam Kakmeni   +2 more
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A Conservative Scheme with Optimal Error Estimates for a Multidimensional Space–Fractional Gross–Pitaevskii Equation

International Journal of Applied Mathematics and Computer Science, 2019
The present work departs from an extended form of the classical multi-dimensional Gross–Pitaevskii equation, which considers fractional derivatives of the Riesz type in space, a generalized potential function and angular momentum rotation.
Hendy Ahmed S., Macías-Díaz Jorge E.
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Dynamics of Bose-Einstein Condensates Subject to the Pöschl-Teller Potential through Numerical and Variational Solutions of the Gross-Pitaevskii Equation. [PDF]

Materials (Basel), 2020
Pereira LC, Nascimento VAD.
europepmc   +1 more source