Results 31 to 40 of about 1,617,542 (166)
The Gross–Pitaevskii equation: Bäcklund transformations and admitted solutions
, 2018 Bäcklund transformations are applied to study the Gross-Pitaevskii equation. Supported by previous results, a class of Bäcklund transformations admitted by this equation are constructed.
S. Carillo +3 more
core +1 more source
Journal of High Energy Physics, 2022 A dilute gas of Bose-Einstein condensed atoms in a non-rotated and axially symmetric harmonic trap is modelled by the time dependent Gross-Pitaevskii equation.
Julien Garaud, Antti J. Niemi
doaj +1 more source
Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee +2 more
wiley +1 more source
The Gross-Pitaevskii Equation and Bose-Einstein Condensates [PDF]
, 2013 The Gross-Pitaevskii equation is discussed at the level of an advanced course on statistical physics. In the standard literature the Gross-Pitaevskii equation is usually obtained in the framework of the second quantisation formalism, which in many cases ...
Rogel-Salazar, Jesus
core +1 more source
The Casimir-like effect in a one-dimensional Bose gas
New Journal of Physics, 2019 The electromagnetic Casimir effect manifests as the interaction between uncharged conducting objects that are placed in a vacuum. More generally, the Casimir-like effect denotes an induced interaction between external bodies in a fluctuating medium.
Benjamin Reichert +2 more
doaj +1 more source
Visualization and Control of Quasi‐Monoenergetic Proton Shock Waves in a Single Nanoplasma
Nanophotonics, Volume 15, Issue 13, 13 July 2026.Femtosecond laser pulses irradiate isolated gold nanoparticles to yield tunable quasi‐monoenergetic proton shells. Proton energy correlates linearly with laser intensity, providing a compact scheme for easily modulated laser‐driven ion sources. ABSTRACT This work demonstrates direct visualization and deterministic control of quasi‐monoenergetic proton ...
Zhijie Yang +6 more
wiley +1 more source
Density matrix form of Gross-Pitaevskii equation
, 2014 We consider the generalized pure state density matrix which depends on different time moments. The evolution equation for this density matrix is obtained in case where the density matrix corresponds to the solutions of Gross-Pitaevskii ...
V. N. Chernega +5 more
core +1 more source
Conserved energies for the one dimensional Gross-Pitaevskii equation [PDF]
, 2020 We prove the global-in-time well-posedness of the one dimensional Gross-Pitaevskii equation in the energy space, which is a complete metric space equipped with a newly introduced metric and with the energy norm describing the H$^{8}$ regularities of the ...
Koch, H., Liao, Xian
core +1 more source
Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation [PDF]
, 2021 We present an effective adaptive procedure for the numerical approximation of the steady-state Gross–Pitaevskii equation. Our approach is solely based on energy minimization, and consists of a combination of a novel adaptive finite element mesh ...
Stamm, Benjamin +2 more
core +2 more sources
Spin-wave growth via Shapiro resonances in a spinor Bose-Einstein condensate
Physical Review Research, 2021 We theoretically study the resonant phenomenon in a spin-1 Bose-Einstein condensate periodically driven by a quadratic Zeeman coupling. This phenomenon is closely related to the Shapiro steps in superconducting Josephson junctions, and the previous ...
Yuya Imaeda +2 more
doaj +1 more source