Results 21 to 30 of about 3,107,805 (229)

Stationary solutions and dynamical evolution of the nonlocal Gross–Pitaevskii equation in spin-2 Bose–Einstein condensates

Results in Physics, 2023
In this paper, we investigate the nonlocal Gross–Pitaevskii equation which describes the phenomena of Bose–Einstein condensates under the mean field approximation.
Hongmei Li, Li Peng, Xuefei Wu
doaj   +1 more source

The Timescales of Quantum Breaking

Fortschritte der Physik, Volume 71, Issue 12, December 2023., 2023
Abstract Due to the inevitable existence of quantum effects, a classical description generically breaks down after a finite quantum break‐time tq$t_q$. We aim to find criteria for determining tq$t_q$. To this end, we construct a new prototype model that features numerous dynamically accessible quantum modes.
Marco Michel, Sebastian Zell
wiley   +1 more source

Fast Quantum State Discrimination with Nonlinear Positive Trace‐Preserving Channels

Advanced Quantum Technologies, Volume 6, Issue 6, June 2023., 2023
Models for nonlinear quantum computation are classified and investigated. Three distinct types of nonlinearity are identified in positive trace‐preserving channels. The qubit channels support Bloch sphere torsion studied previously and new dynamics combining nonlinearity and non‐Lindblad dissipation.
Michael R. Geller
wiley   +1 more source

Beltrami fields and knotted vortex structures in incompressible fluid flows

Bulletin of the London Mathematical Society, Volume 55, Issue 3, Page 1059-1103, June 2023., 2023
Abstract This paper gives a survey on recent results about the existence of knotted vortex structures in incompressible fluids. This includes the proof of Lord Kelvin's conjecture on the existence of knotted vortex tubes in steady Euler flows and a new probabilistic approach to address Arnold's speculation that typical Beltrami fields should exhibit ...
Alberto Enciso, Daniel Peralta‐Salas
wiley   +1 more source

The Modulation Instability Analysis and Analytical Solutions of the Nonlinear Gross−Pitaevskii Model with Conformable Operator and Riemann Wave Equations via Recently Developed Scheme

Advances in Mathematical Physics, Volume 2023, Issue 1, 2023., 2023
In this manuscript, we focus on the application of recently developed analytical scheme, namely, the rational sine‐Gordon expansion method (SGEM). Some new exact solutions of Riemann wave system and the nonlinear Gross−Pitaevskii equation (GPE) by using this method are extracted. This method is based on the general properties of the SGEM which uses the
Wei Gao, Haci Mehmet Baskonus, Ghulam Rasool   +2 more
wiley   +1 more source

3D Nonlinear Localized Gap Modes in Bose‐Einstein Condensates Trapped by Optical Lattices and Space‐Periodic Nonlinear Potentials

Advanced Photonics Research, Volume 3, Issue 7, July 2022., 2022
Stabilizing multidimensional solitons is challenging as critical and supercritical collapse problems arise. Two powerful ultracold atoms techniques, optical lattice and Feshbach resonance, are combined to address theoretically and numerically the formation and dynamics stability of 3D nonlinear localized gap modes of diverse types, including matter ...
Jiawei Li, Yanpeng Zhang, Jianhua Zeng
wiley   +1 more source

Efficient Continuation Methods for Computing Ground States of Quasi‐2D Rotating Dipolar Bose‐Einstein Condensates

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
We study efficient continuation methods for computing the ground state solution of quasi‐2D rotating dipolar Bose‐Einstein condensates (BECs). First, the highly accurate spectral collocation method is used to discretize the governing Gross‐Pitaevskii equation (GPE). Then, we modify the two‐level continuation scheme for 3D dipolar BECs described in Jeng
B.-W. Jeng, P.-H. Su, M.-I. Char, Ruben Specogna   +3 more
wiley   +1 more source

Topological Photonics on a Small Scale

Small Science, Volume 1, Issue 12, December 2021., 2021
In this Perspective, the recent advances in small‐scale topological photonics based on low‐dimensional localized states supported by subwavelength optical structures are discussed. The key achievements in this field are summarized and an outlook of the future progress of small‐scale topological nanophotonics is provided. The study of topological phases
Dmitry V. Zhirihin, Yuri S. Kivshar
wiley   +1 more source

Semiclassical solutions localized in a neighborhood of a circle for the Gross-Pitaevskii equation [PDF]

Компьютерные исследования и моделирование, 2009
Non-collapsing soliton-like wave functions are shown to exist in semiclassical approximation for the Bose-Einstein condensate model based on the Gross-Pitaevskii equation with attractive nonlinearity and external field of magnetic trap of special form.
Aleksei Vladimirovich Borisov, Andrey Yur'evich Trifonov, Aleksandr Vasilievich Shapovalov   +2 more
doaj   +1 more source

Finding Solutions of the Navier‐Stokes Equations through Quantum Computing—Recent Progress, a Generalization, and Next Steps Forward

Advanced Quantum Technologies, Volume 4, Issue 10, October 2021., 2021
Solving the Navier–Stokes equations of fluid dynamics is essential for many economically important industries such as the trillion (US) dollar aerospace industry. This Review describes a recently introduced quantum algorithm for solving these equations, and a generalization for nonlinear partial differential equations.
Frank Gaitan
wiley   +1 more source