On the Gross-Pitaevskii equation for trapped dipolar quantum gases
arXiv:0805.0716 · doi:10.1088/0951-7715/21/11/006
Abstract
We study the time-dependent Gross-Pitaevskii equation describing Bose-Einstein condensation of trapped dipolar quantum gases. Existence and uniqueness as well as the possible blow-up of solutions are studied. Moreover, we discuss the problem of dimension-reduction for this nonlinear and nonlocal Schrodinger equation.
arXiv comment21 pages
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- Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT
- Asymptotic dynamic for dipolar Quantum Gases below the ground state energy threshold
- An effective mass theorem for the bidimensional electron gas in a strong magnetic field
- Dynamical collapse of cylindrical symmetric Dipolar Bose-Einstein condensates
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- Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity
- A robust and efficient numerical method to compute the dynamics of the rotating two-component dipolar Bose-Einstein condensates
- Antiferromagnetic spin pumping via hyperfine interaction
- Local weak solutions to a Navier-Stokes-nonlinear-Schrödinger model of superfluidity
- Binary Mixture of quasi one dimensional dipolar Bose Einstein Condensates with tilted dipoles
- On the mass transfer in the 3D Pitaevskii model
- Small-data global existence of solutions for the Pitaevskii model of superfluidity
- An implicit split-operator algorithm for the nonlinear time-dependent Schrödinger equation
- Time-reversible and norm-conserving high-order integrators for the nonlinear time-dependent Schrödinger equation: Application to local control theory