Equation of State for Turbulence in the Gross-Pitaevskii Model
Physical Review LettersWe report the numerical observation of a far-from-equilibrium equation of state (EOS) in the Gross-Pitaevskii (GP) model. We first show that the momentum distribution of the turbulent cascade is well described by wave-turbulent kinetic theory in the appropriate limits. Calculating the energy and particle fluxes
Gevorg Martirosyan +2 more
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Dynamics of Bose-Einstein Condensates Subject to the Pöschl-Teller Potential through Numerical and Variational Solutions of the Gross-Pitaevskii Equation. [PDF]
Materials (Basel), 2020 Pereira LC, Nascimento VAD.
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Quantum Gross-Pitaevskii Equation
We introduce a non-commutative generalization of the Gross-Pitaevskii equation for one-dimensional quantum gasses and quantum liquids. This generalization is obtained by applying the time-dependent variational principle to the variational manifold of ...
Verstraete, F +5 more
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Decay for travelling waves in the Gross–Pitaevskii equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2004 We study the limit at infinity of the travelling waves of finite energy in the Gross–Pitaevskii equation in dimension larger than two: their uniform convergence to a constant of modulus one and their asymptotic decay. Résumé Nous étudions la limite à l’infini des ondes progressives d’énergie finie pour les équations ...
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Special solutions of the Riccati equation with applications to the Gross-Pitaevskii nonlinear PDE
Electronic Journal of Differential Equations, 2010 A method for finding solutions of the Riccati differential equation $y' = P(x) + Q(x)y + R(x)y^2$ is introduced. Provided that certain relations exist between the coefficient $P(x)$, $Q(x)$ and $R(x)$, the above equation can be solved in closed form.
Anas Al Bastami +2 more
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Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation
Symmetry, Integrability and Geometry: Methods and Applications, 2005 The Gross-Pitaevskii equation with a local cubic nonlinearity that describes a many-dimensional system in an external field is considered in the framework of the complex WKB-Maslov method.
Alexey Borisov +2 more
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The Partition Function of the Bose-Einstein Condensation in Parabolic Trap
Makara Seri Sains, 2012 We have discussed the partition function of the Bose-Einstein condensation in parabolic trap associated to the one-dimensional Gross-Pitaevskii equation. The partition function itself is constructed by considering all the energy levels of the macroscopic
Sinta Latifa, Teguh Budi Prayitno
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Derivation of the Time Dependent Gross-Pitaevskii Equation in Two Dimensions. [PDF]
Commun Math Phys, 2019 Jeblick M, Leopold N, Pickl P.
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The stochastic Gross-Pitaevskii equation [PDF]
Journal of Physics B: Atomic, Molecular and Optical Physics, 2002 C W Gardiner, J R Anglin, T I A Fudge
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Tunable band-gap structure and gap solitons in the generalized Gross-Pitaevskii equation with a periodic potential. [PDF]
Sci Rep, 2018 Huang C, Dong L.
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