Name
Title | ||
|---|---|---|
Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials |
Abstract | ||
|---|---|---|
By extending the Bloch-decomposition-based time-splitting spectral method we introduced earlier, we conduct numerical simulations of the dynamics of nonlinear Schrodinger equations subject to periodic and con. ning potentials. We consider this system as a two-scale asymptotic problem with different scalings of the nonlinearity. In particular we discuss (nonlinear) mass transfer between different Bloch bands and also present three-dimensional simulations for lattice Bose-Einstein condensates in the super fluid regime. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/070699433 | MULTISCALE MODELING & SIMULATION |
Keywords | Field | DocType |
nonlinear Schrodinger equation,Bloch decomposition,time-splitting spectral method,Bose-Einstein condensates,Thomas-Fermi approximation,lattice potential | Superfluidity,Nonlinear system,Computer simulation,Mathematical analysis,Quantum mechanics,Schrödinger equation,Bose–Einstein condensate,Spectral method,Classical mechanics,Periodic graph (geometry),Nonlinear Schrödinger equation,Physics | Journal |
Volume | Issue | ISSN |
7 | 2 | 1540-3459 |
Citations | PageRank | References |
6 | 0.53 | 6 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhongyi Huang | 1 | 67 | 12.67 |
| Shi Jin | 2 | 572 | 85.54 |
| Peter A. Markowich | 3 | 64 | 13.62 |
| Christof Sparber | 4 | 32 | 7.35 |