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Monday, July 27, 2020 | History

9 edition of Vortices in Bose-Einstein Condensates (Progress in Nonlinear Differential Equations and Their Applications) found in the catalog.

# Vortices in Bose-Einstein Condensates (Progress in Nonlinear Differential Equations and Their Applications)

## by Amandine Aftalion

• 128 Want to read
• 38 Currently reading

Published by Birkhäuser Boston .
Written in English

Subjects:
• Mathematical modelling,
• Mathematics,
• Science/Mathematics,
• Applied,
• Differential Equations,
• Mathematical Physics,
• Mathematics / Differential Equations

• The Physical Object
FormatHardcover
Number of Pages203
ID Numbers
Open LibraryOL8074856M
ISBN 100817643923
ISBN 109780817643928

We have observed and characterized the dynamics of singly quantized vortices in dilute-gas Bose- Einstein condensates. Our condensates are produced in a superposition of two internal states of 85 Rb, with one state supporting a vortex and the other filling the vortex corc. Subsequently, the state filling the core can be partially or completely removed, reducing the Cited by: A Bose--Einstein condensate (BEC) is a state of matter of a dilute gas of weakly interacting bosons confined in an external potential and cooled to temperatures very near to absolute zero (0 K or °C). Under such conditions, a large fraction of the bosons occupy the lowest quantum state of the external potential, at which point quantum effects become apparent on a .

The stability of doubly quantized vortices in dilute Bose-Einstein condensates of {sup 23}Na is examined at zero temperature. The eigenmode spectrum of the Bogoliubov equations for a harmonically trapped cigar-shaped condensate is computed and it is found that the doubly quantized vortex is spectrally unstable towards division into two singly. Motivated by recent experiments studying the dynamics of configurations bearing a small number of vortices in atomic Bose-Einstein condensates (BECs), we illustrate that such systems can be accurately described by ordinary differential equations (ODEs) incorporating the precession and interaction dynamics of vortices in harmonic by:

Bose–Einstein condensate (BEC) is what happens to a dilute gas when it is made very cold, near absolute forms when the particles that make it up have very low bosons can make a Bose–Einstein condensate, when they are close to 0 K (or −° C, or − °F).The gas has extremely low density, about one-hundred-thousandth the density of normal air. And vortices form in the Bose Einstein condensate similar to how vortices formed in liquid helium. Figure 6 Vortices in a BEC. The dark spots are the cores of the vortices (Engles). We can also use a light beam that contains vortices and transfer the angular momentum to the Bose Einstein condensate. Light Choosing Initial Phase Pattern.

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### Vortices in Bose-Einstein Condensates (Progress in Nonlinear Differential Equations and Their Applications) by Amandine Aftalion Download PDF EPUB FB2

Vortices are pervasive in nature, representing the breakdown of laminar fluid flow and hence playing a key role in turbulence. The fluid rotation associated with a vortex can be parameterized by the circulation $Γ=\\oint {\\rm d}{\\bf r}\\cdot{\\bf v}({\\bf r})$ about the vortex, where ${\\bf v}({\\bf r})$ is the fluid velocity field.

While classical vortices can take any value of Cited by: 1. Vortices in Bose-Einstein Condensates (Progress in Nonlinear Differential Equations and Their Applications) [Aftalion, Amandine] on *FREE* shipping on qualifying offers. Vortices in Bose-Einstein Condensates (Progress in Nonlinear Cited by: In contrast to a classical fluid, a quantum fluid such as a Bose–Einstein condensate can rotate only through the nucleation of quantized vortices beyond some critical velocity.

There are two interesting regimes: one close to the critical velocity, where there is only one vortex that has a very special shape; and another one at high rotation. Bose Einstein Condensates: Theory, Characteristics, and Current Research (Physics Research and Technology) and Plasma Physics Book 70) by J.T.

Mendonça and Hugo Terças. eTextbook  08  Hardcover  87  Get it as soon as Tue Vortices in Bose-Einstein Vortices in Bose-Einstein Condensates book (Progress in.

Get this from a library. Vortices in Bose-Einstein condensates. [Amandine Aftalion] -- "Since the first experimental achievement of Bose-Einstein condensates (BEC) in and the award of the Nobel Prize for Physics inthe properties of these gaseous quantum fluids have been the.

Vortices are pervasive in nature, representing the breakdown of laminar fluid flow and hence playing a key role in turbulence. The fluid rotation associated with a vortex can be parameterized by the circulation Γ = ∮ dr v(r) about the vortex, where v(r) is the fluid velocity field.

While classical vortices can take any value of circulation, superfluids are irrotational, and any rotation. One of the key issues related to superfluidity is the existence of vortices. In very recent experiments on Bose–Einstein condensates, vortices have been observed by rotating the trap holding the atoms.

In contrast to a classical fluid for which the equilibrium velocity corresponds to Brand: Birkhäuser Basel. Vortices are pervasive in nature, representing the breakdown of laminar fluid flow and hence playing a key role in turbulence.

The fluid rotation associated with a vortex can be parameterized by the circulation Γ = ∮ dr v(r) about the vortex, where v(r) is the fluid velocity classical vortices can take any value of circulation, superfluids are irrotational, and any rotation Cited by: 1.

An outstanding question is whether Bose-Einstein condensates exhibit a mesoscopic quantum analogue of the macroscopic vortices in superfluids, and. Vortices in Bose-Einstein Condensates by Amandine Aftalion,available at Book Depository with free delivery : Amandine Aftalion.

As discussed in the previous section, one of the most spectacular manifestation of superfluidity in Bose-Einstein condensates is the possibility of nucleating quantized vortices when the system is set into rotation.

This property, first predicted by Feynman and Onsager [1, 2], has since been verified experimentally in superfluid 4 He and gaseous Bose-Einstein : F.

Chevy. In this brief review we summarize a number of recent developments in the study of vortices in Bose–Einstein condensates, a topic of considerable theoretical and experimental interest in the past few years.

We examine the generation of vortices by means of phase imprinting, as well as via dynamical by: Quantum vortices can form via the Kibble-Zurek mechanism. As a condensate forms by quench cooling, separate protocondensates form with independent phases.

As these phase domains merge quantum vortices can be trapped in the emerging condensate order parameter. Spontaneous quantum vortices were observed in atomic Bose-Einstein condensates in Vortices in a Bose-Einstein condensate / This book discusses the properties of quantized vortex lines in superfluid helium II in the light of research on vortices in modern fluid mechanics.

Ether, Bose-Einstein Condensates and Zero-Point Energy The ether, including all light and dark layers, is a Bose Einstein Condensate (BEC) superconducting superfluid. It has one wavefunction, so acts like a single particle in oneness which is indivisible and inseparable so it exists everywhere simultaneously because it has multiple positions.

Vortices in Bose-Einstein Condensates Aftalion A. Since the first experimental achievement of Bose-Einstein condensates (BEC) in and the award of the Nobel Prize for Physics inthe properties of these gaseous quantum fluids have been the focus of international interest in condensed matter physics.

ROTATING BOSE-EINSTEIN CONDENSATES ⁄ WEIZHU BAO y, HANQUAN WANG z, AND PETER A. MARKOWICH x Abstract. We study ground, symmetric and central vortex states, as well as their energy and chemical potential diagrams, in rotating Bose-Einstein condensates (BEC) analytically and numer-ically.

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Invited Addresses; Invited Paper. In this review, we give an overview of the experimental and theoretical advances in the physics of quantised vortices in dilute atomic gas Bose–Einstein condensates in a trapping potential, especially focusing on experimental research activities and their theoretical interpretations.

Quantized vortices appear in low-temperature quantum condensed systems as the direct product of Bose–Einstein condensation. Quantized vortices were first discovered in superfluid 4He in the s, and have since been studied with a primary focus on the quantum hydrodynamics of this system.

This chapter reviews and summarizes the current understanding of quantized. Since the experimental creation of Bose-Einstein Condensates (BEC) in alkali vapors in [5, 12], BEC are one of the most active areas of modern condensed-matter physics.

A general overview of the subject can be found in [11, 57], and particularly in the review book .We investigate the dynamics of vortices in repulsive Bose–Einstein condensates in the presence of an optical lattice (OL) and a parabolic magnetic trap.

The dynamics is sensitive to the phase of the OL potential relative to the magnetic trap, and depends less on the OL strength. For the cosinusoidal OL potential, a local minimum is generated at the trap's centre, creating a stable Cited by: Recently, the splitting of a topologically created doubly quantized vortex into two singly quantized vortices was experimentally investigated in dilute atomic cigar-shaped Bose-Einstein condensates [Y.

Shin et al., Phys. Rev. Lett. 93, ()].