WebMar 9, 2024 · where ψ ( x, t) is the wave-function for a BEC. My aim is to find a travelling wave solution. I suspect this solution is of the form: ψ ( x, t) = f ( x − u t) e − i μ t, where μ, u are constants ( u is the speed). From reading around online (specifically, the book "A Primer on Quantum Fluids"), I think the final solution for ψ ( x, t ... Webgood agreement between the two. However, the 3D GP equation for a dipolar BEC with the nonlocal dipolar in-teraction has a complex structure and its numerical solu-tion, involving the Fourier transformation of the dipolar nonlinear term to momentum space [35{37], is even more challenging than that of the GP equation of a non-dipolar BEC.
Non-local interactions in a BEC: an analogue gravity perspective
WebThe Gross–Pitaevskii equation (GPE) is discussed at the level of an advanced course on statistical physics. In the standard literature the GPE is usually ... Since Bose–Einstein condensation (BEC) can be understood from statistical correlations, without the need of boson–boson interaction, there is a feasible possibility of Webthe GP equation for dipolar BEC whole expression for po-tential energy of dipole-dipole interaction have to be used explicitly [22]. It allows to introduce electric field cause d by dipoles, which satisfy to the Maxwell equations. In this case the GP equation for the dipolar BEC can be presented in an nonintegral form, and it is coupled with ... frenchie for adoption near me
Frontiers Quantum Droplet in Lower Dimensions
WebDec 8, 2024 · The nonlinear term in the GP equation derives from the interaction between atoms in BEC. When atoms interact with each other as repulsion or attraction, the dark soliton solution or the bright soliton solution can be obtained from the GP equation, respectively. Many soliton solutions and kinetic excitations of BECs have been discussed ... WebJun 18, 2014 · Derived from mean field theoretical approach, the Gross-Pitaevskii equation (GPE), which describes the dynamics of BEC as a highly reliable equation in the investigation of the ultracold BEC, has … http://www.u.arizona.edu/~aversa/g-p_eqn_paper.pdf fast furious 9 film completo ita