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Energy eigenfunctions of the 1D Gross–Pitaevskii equation [PDF]
Computer Physics Communications, 2013 18 pages, 11 ...
Ertan Göklü, Claus Lämmerzahl
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Numerical solution for the Gross–Pitaevskii equation
Journal of Mathematical Chemistry, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hua, Wei, Liu, Xueshen, Ding, Peizhu
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Bright soliton solution of a Gross–Pitaevskii equation
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manjun Ma, Zhe Huang 0007
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The multisymplectic numerical method for Gross–Pitaevskii equation
Computer Physics Communications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
YiMin Tian +3 more
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Conserved Gross–Pitaevskii equations with a parabolic potential
Communications in Theoretical Physics, 2022Abstract An integrable Gross–Pitaevskii equation with a parabolic potential is presented where particle density ∣u∣2 is conserved. We also present an integrable vector Gross–Pitaevskii system with a parabolic potential, where the total particle density
Liu, Shi-min, Zhang, Da-jun
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Rotons and the gross-pitaevskii equation
Physics Letters A, 1980Abstract With a plausible assumption for ψ( r ), a bubble-solution of the GP-equation in the three-dimensional case is obtained. The relation between a roton and a “bubble” is examined. The roton spectrum is derived in order to test the suggested theory of condensate wavefunctions.
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On the quantum Gross-Pitaevskii equation
2016Gegenstand dieser Dissertation ist die Entwicklung neuer variationeller Algorithmen zur Untersuchung von stark korrelierten eindimensionalen Quantenfeldtheorien. Zu diesem Zweck wird das Dirac-Frenkel zeitabhaengige Variationsprinzip auf die Klasse der kontinuierlichen Matrix Produkt Zustaende (cMPS) angewandt.
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Accurate Numerical Eigenstates of the Gross-Pitaevskii Equation
2020We consider a bosonic gas of N bosons. Hartree-Fock approximation allows for a product wave function of single particle solutions \({\Psi (\vec {x_i})}\) $$\displaystyle \Psi (x_1, x_2, \cdots , x_N) = \prod _i^N \Psi (\vec {x}_i) $$ Using a pseudo-potential to account for the condensate self-interaction, the Hamiltonian is found to be ...
Bo Gervang, Christian Bach
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Gross‐Pitaevskii equation: Variational approach
physica status solidi (c), 2005In this paper we present an analytical method for solving the Gross-Pitaevskii equation for the Bose-Einstein condensation in the dilute atomic alkali gases. Using a variational ansatz, we are able to obtain an analytical solution for the order parameter and for the chemical potential as a function of a unique universal parameter: λ/(ħ ω l) (l is the ...
Julio C. Drake Perez +4 more
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The Gross–Pitaevskii (GP) Equation
Abstract In the next few chapters we cover some further techniques based on NLS-type equations by focusing on a particularly attractive application in atomic physics: Bose-Einstein condensates (BECs). The mean-field dynamics of BECs can be modeled by the Gross-Pitaevskii (GP) equation which is a generalization of the NLS equation that ...R. Carretero-González +2 more
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