Results 71 to 80 of about 33,314 (234)
The Gross–Pitaevskii equation and Bose–Einstein condensates [PDF]
The Gross-Pitaevskii equation is discussed at the level of an advanced course on statistical physics. In the standard literature the Gross-Pitaevskii equation is usually obtained in the framework of the second quantisation formalism, which in many cases goes beyond the material covered in many advanced undergraduate courses.
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Exactly solvable Gross–Pitaevskii type equations
TWe suggest a method to construct exactly solvable Gross-Pitaevskii type equations, especially the variable-coefficient high-order Gross-Pitaevskii type equations. We show that there exists a relation between the Gross-Pitaevskii type equations. The Gross-Pitaevskii equations connected by the relation form a family.
Yuan-Yuan Liu, Wen-Du Li, Wu-Sheng Dai
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Polaron Dynamics in a Quasi-Two-Dimensional Bose–Einstein Condensate
The concept of polaron quasiparticles was first introduced in the pioneering papers by Landau and Feynman in the 1930s and 1940s. It describes the phenomenon of an external particle producing a bound state in an embedded medium.
Shukhrat N. Mardonov +3 more
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Vortex Line Density in a Superfluid Turbulent Wake in the Zero Temperature Limit
The quasiclassical conjecture for quantum turbulence in a pure superfluid straightforwardly leads to the definition of the superfluid Reynolds number, Res=ud/κ$Re_s=ud/\kappa$, and suggests that the effective quantum viscosity should be of the order of the circulation quantum κ$\kappa$.
Hiromitsu Takeuchi
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An ultradilute quantum droplet is a self-bound liquidlike state recently observed in ultracold Bose-Einstein condensates. In most previous theoretical studies, it is described by a phenomenological low-energy effective theory, termed as the extended ...
Hui Hu, Xia-ji Liu
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Multivortex Traveling Waves for the Gross-Pitaevskii Equation and the Adler-Moser Polynomials [PDF]
For $N\leq34,$ we construct traveling waves with small speed for the Gross-Pitaevskii equation, by gluing $N(N+1)/2$ pairs of degree $\pm1$ vortices of the Ginzburg-Landau equation.
Y. Liu, Juncheng Wei
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A dilute gas of Bose-Einstein condensed atoms in a non-rotated and axially symmetric harmonic trap is modelled by the time dependent Gross-Pitaevskii equation.
Julien Garaud, Antti J. Niemi
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Remarks on the derivation of Gross-Pitaevskii equation with magnetic Laplacian
The effective dynamics for a Bose-Einstein condensate in the regime of high dilution and subject to an external magnetic field is governed by a magnetic Gross-Pitaevskii equation.
A. Knowles +4 more
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Broadening of Spectral Lines for Decaying Trapped States of Photonic Meta‐Atoms
We discuss the phase‐matched capture‐and‐decay of dispersive waves by a photonic meta‐atom, enabled by higher‐order dispersive effects in a nonlinear waveguide. The emitted resonant modes exhibit a Lorentzian lineshape, with width determined by the lifetime of the decay process.
Shihao Zhang +4 more
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The stochastic Gross-Pitaevskii equation and some applications [PDF]
14 pages, 9 figures.
Cockburn SP, Proukakis NP
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