Search Results - subject:"Gross–Pitaevskii equation"

Investigation of classical and fractional Bose–Einstein condensation for harmonic potential

Uzar, Neslihan; Ballikaya, Sedat - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 8, pp. 1733-1741

In this study, classical and fractional Gross–Pitaevskii (GP) equations were solved for harmonic potential and repulsive interactions between the boson particles using the Homotopy Perturbation Method (HPM) to investigate the ground state dynamics of Bose–Einstein Condensation (BEC). The...

Persistent link: https://www.econbiz.de/10010742345

Numerical exploration of vortex matter in Bose–Einstein condensates

Baksmaty, L.O.; Liu, Y.; Landman, U.; Bigelow, N.P.; Pu, H. - In: Mathematics and Computers in Simulation (MATCOM) 80 (2009) 1, pp. 131-138

We describe a finite element numerical approach to the full Hartree-Fock-Bogoliubov treatment of a vortex lattice in a rapidly rotating Bose–Einstein condensate. We study the system in the regime of high thermal or significant quantum fluctuations where we are presented with a very large...

Persistent link: https://www.econbiz.de/10010870398

Quantum lattice representations for vector solitons in external potentials

Vahala, George; Vahala, Linda; Yepez, Jeffrey - In: Physica A: Statistical Mechanics and its Applications 362 (2006) 1, pp. 215-221

Gross–Pitaevskii equation for the ground state wave functions of a coupled BEC state at T=0K. …

Persistent link: https://www.econbiz.de/10010589682

Exactly formulated Bose–Einstein condensates in optical lattices

Hai, Wenhua; Lee, Chaohong; Fang, Ximing; Gao, Kelin - In: Physica A: Statistical Mechanics and its Applications 335 (2004) 3, pp. 445-454

potentials, we derive several families of exact solutions of the Gross–Pitaevskii equation from some balance conditions between …

Persistent link: https://www.econbiz.de/10010591760