Deriving the Gross-Pitaevskii equation

Mathematical Results in Quantum Mechanics ◽

10.1142/9789814618144_0014 ◽

2014 ◽

Author(s):

N. Benedikter

Keyword(s):

Pitaevskii Equation

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Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition

Physical Review E ◽

10.1103/physreve.95.013311 ◽

2017 ◽

Vol 95 (1) ◽

Author(s):

L. M. Symes ◽

P. B. Blakie

Keyword(s):

Nonlinear Dynamics ◽

Pitaevskii Equation

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Existence of stable standing waves for the Lee–Huang–Yang corrected dipolar Gross–Pitaevskii equation

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106952 ◽

2021 ◽

Vol 115 ◽

pp. 106952

Author(s):

Binhua Feng ◽

Leijin Cao ◽

Jiayin Liu

Keyword(s):

Standing Waves ◽

Pitaevskii Equation

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Dilute dipolar quantum droplets beyond the extended Gross-Pitaevskii equation

Physical Review Research ◽

10.1103/physrevresearch.1.033088 ◽

2019 ◽

Vol 1 (3) ◽

Author(s):

Fabian Böttcher ◽

Matthias Wenzel ◽

Jan-Niklas Schmidt ◽

Mingyang Guo ◽

Tim Langen ◽

...

Keyword(s):

Pitaevskii Equation

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Orbital stability of traveling waves for the one-dimensional Gross–Pitaevskii equation

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2008.09.009 ◽

2009 ◽

Vol 91 (2) ◽

pp. 178-210 ◽

Author(s):

Patrick Gérard ◽

Zhifei Zhang

Keyword(s):

Traveling Waves ◽

Orbital Stability ◽

Pitaevskii Equation ◽

One Dimensional ◽

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Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method

AIP Advances ◽

10.1063/1.4884637 ◽

2014 ◽

Vol 4 (6) ◽

pp. 067131 ◽

Author(s):

Ying Wang ◽

Yu Zhou

Keyword(s):

Soliton Solutions ◽

Expansion Method ◽

Pitaevskii Equation ◽

Exact Soliton Solutions

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Exact analytical solutions of three-dimensional Gross—Pitaevskii equation with time—space modulation

Chinese Physics B ◽

10.1088/1674-1056/20/5/050315 ◽

2011 ◽

Vol 20 (5) ◽

pp. 050315 ◽

Author(s):

Xiao Hu ◽

Biao Li

Keyword(s):

Analytical Solutions ◽

Three Dimensional ◽

Pitaevskii Equation ◽

Exact Analytical Solutions ◽

Space Modulation

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Bose–Einstein condensates: Analytical methods for the Gross–Pitaevskii equation

Physics Letters A ◽

10.1016/j.physleta.2006.01.032 ◽

2006 ◽

Vol 354 (1-2) ◽

pp. 115-118 ◽

Author(s):

Carlos Trallero-Giner ◽

J. Drake ◽

V. Lopez-Richard ◽

C. Trallero-Herrero ◽

Joseph L. Birman

Keyword(s):

Analytical Methods ◽

Pitaevskii Equation ◽

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Gauge equivalence of the Gross–Pitaevskii equation and the equivalent Heisenberg spin chain

Physica Scripta ◽

10.1088/0031-8949/76/5/004 ◽

2007 ◽

Vol 76 (5) ◽

pp. 431-435 ◽

Author(s):

R Radha ◽

V Ramesh Kumar

Keyword(s):

Pitaevskii Equation ◽

Heisenberg Spin ◽

Heisenberg Spin Chain ◽

Gauge Equivalence

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Global well posedness for the Gross-Pitaevskii equation with an angular momentum rotational term in three dimensions

Journal of Mathematical Physics ◽

10.1063/1.2795218 ◽

2007 ◽

Vol 48 (10) ◽

pp. 102105 ◽

Author(s):

Chengchun Hao ◽

Ling Hsiao ◽

Hai-Liang Li

Keyword(s):

Angular Momentum ◽

Three Dimensions ◽

Pitaevskii Equation ◽

Well Posedness ◽

Rotational Term

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Nonlinear quantum search using the Gross–Pitaevskii equation

New Journal of Physics ◽

10.1088/1367-2630/15/6/063014 ◽

2013 ◽

Vol 15 (6) ◽

pp. 063014 ◽

Author(s):

David A Meyer ◽

Thomas G Wong

Keyword(s):

Pitaevskii Equation ◽

Quantum Search ◽

Nonlinear Quantum

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