Dynamics Of Vortex Dipoles In Anisotropic Bose Einstein Condensates

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Dynamics of Vortex Dipoles in Anisotropic Bose-Einstein Condensates

Author :
Publisher :
ISBN 13 :
Total Pages : 31 pages
Book Rating : 4.:/5 (951 download)

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Book Synopsis Dynamics of Vortex Dipoles in Anisotropic Bose-Einstein Condensates by :

Download or read book Dynamics of Vortex Dipoles in Anisotropic Bose-Einstein Condensates written by and published by . This book was released on 2015 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the motion of a vortex dipole in a Bose-Einstein condensate confined to an anisotropic trap. We focus on a system of ODEs describing the vortices' motion, which is in turn a reduced model of the Gross-Pitaevskii equation describing the condensate's motion. Using a sequence of canonical changes of variables, we reduce the dimension and simplify the equations of motion. In this study, we uncover two interesting regimes. Near a family of periodic orbits known as guiding centers, we find that the dynamics is essentially that of a pendulum coupled to a linear oscillator, leading to stochastic reversals in the overall direction of rotation of the dipole. Near the separatrix orbit in the isotropic system, we find other families of periodic, quasi-periodic, and chaotic trajectories. In a neighborhood of the guiding center orbits, we derive an explicit iterated map that simplifies the problem further. Numerical calculations are used to illustrate the phenomena discovered through the analysis. Using the results from the reduced system, we are able to construct complex periodic orbits in the original, PDE, mean-field model for Bose-Einstein condensates, which corroborates the phenomenology observed in the reduced dynamical equations.

Vortex Dynamics in Bose-Einstein Condensates

Author : J.-P. Martikainen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (595 download)

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Book Synopsis Vortex Dynamics in Bose-Einstein Condensates by : J.-P. Martikainen

Download or read book Vortex Dynamics in Bose-Einstein Condensates written by J.-P. Martikainen and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vortices in Bose-Einstein Condensates

Author : Amandine Aftalion
Publisher : Springer Science & Business Media
ISBN 13 : 081764492X
Total Pages : 212 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Vortices in Bose-Einstein Condensates by : Amandine Aftalion

Download or read book Vortices in Bose-Einstein Condensates written by Amandine Aftalion and published by Springer Science & Business Media. This book was released on 2007-10-14 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date approach to the diagnosis and management of endocarditis based on a critical analysis of the recent studies. It is the only up-to-date clinically oriented textbook available on this subject. The book is structured in a format that is easy to follow, clinically relevant and evidence based. The author has a special interest in the application of ultrasound in the study of cardiac structure and function.

Formation, Dynamics, and Decay of Quantized Vortices in Bose-Einstein Condensates: Elements of Quantum Turbulence

Author :
Publisher :
ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.:/5 (659 download)

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Book Synopsis Formation, Dynamics, and Decay of Quantized Vortices in Bose-Einstein Condensates: Elements of Quantum Turbulence by :

Download or read book Formation, Dynamics, and Decay of Quantized Vortices in Bose-Einstein Condensates: Elements of Quantum Turbulence written by and published by . This book was released on 2010 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulence in classical fluids has been the subject of scientific study for centuries, yet there is still no complete general theory of classical turbulence connecting microscopic physics to macroscopic fluid flows, and this remains one of the open problems in physics. In contrast, the phenomenon of quantum turbulence in superfluids has well-defined theoretical descriptions, based on first principles and microscopic physics, and represents a realm of physics that can connect the classical and quantum worlds. Studies of quantum turbulence may thus be viewed as a path for progress on the long-standing problem of turbulence. A dilute-gas Bose-Einstein condensate (BEC) is, in most cases, a superfluid that supports quantized vortices, the primary structural elements of quantum turbulence. BECs are particularly convenient systems for the study of vortices, as standard techniques allow the microscopic structure and dynamics of the vortices to be investigated. Vortices in BECs can be created and manipulated using a variety of techniques, hence BECs are potentially powerful systems for the microscopic study of quantum turbulence. This dissertation focuses on quantized vortices in BECs, specifically experimental and numerical studies of their formation, dynamics, and decay, in an effort to understand the microscopic nature of vortices as elements of quantum turbulence. Four main experiments were performed, and are described in the main chapters of this dissertation, after introductions to vortices, experimental methods, and turbulence are presented. These experiments were aimed at understanding various aspects of how vortices are created and behave in a superfluid system. They involved vortex dipole nucleation in the breakdown of superfluidity, persistent current generation from a turbulent state in the presence of energy dissipation, decay of angular momentum of a BEC due to trapping potential impurities, and exploration of the spontaneous formation of vortices during the BEC phase transition. These experiments represent progress towards enhanced understanding of the formation, dynamics, and decay of vortices in BECs and thus may be foundational to more general studies of quantum turbulence in superfluids.

Dynamics of Vortices in Trapped Bose-Einstein Condensates

Author : Jong-kwan Kim
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dynamics of Vortices in Trapped Bose-Einstein Condensates by : Jong-kwan Kim

Download or read book Dynamics of Vortices in Trapped Bose-Einstein Condensates written by Jong-kwan Kim and published by . This book was released on 2005 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics of Two-component Bose-Einstein Condensates

Author :
Publisher :
ISBN 13 :
Total Pages : 143 pages
Book Rating : 4.:/5 (824 download)

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Book Synopsis Dynamics of Two-component Bose-Einstein Condensates by :

Download or read book Dynamics of Two-component Bose-Einstein Condensates written by and published by . This book was released on 2012 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: I explored the vortex dynamics in homonuclear species two-component Bose-Einstein condensates (BECs) based on the knowledge of vortex dynamics in one-component BECs. The vortex dynamics in BECs depends on the background elds induced by di erent external potentials and other vortices. The motion of vortices is numerically computed and the numerical results are compared to the theoretical formulas where possible. In the study of the vortex-vortex interaction dynamics in one-component BECs, a power law relationship between the motion of the vortices and their separation distance is depicted. In addition to that, the relationship between the linear and the angular velocities of the vortices is found to be similar to the relationship between the tangential and the angular velocities of classical uid vortices. In the case of two-component BEC dynamics, two di erent cases are studied: one without atomic inter-conversion between the two components and the other with atomic inter-conversion. The stability analysis of the two-component BECs is conducted to identify the stable regions as well as the regions of mixed and separated states. When a vortex is seeded in one component, this vortex induces a hump in the other component at the same location as the vortex, which leads to the vortexhump dynamics. The vortex-hump-vortex-hump interaction dynamics without atomic inter-conversion depicts a power law relation between the motion of vortex-humps and the separation distance; whereas, the vortex-hump-vortex-hump interaction dynamics with atomic inter-conversion reveals a more complex relation between the motion of vortex-humps and the separation distance.

Real-time Dynamics of Co-rotating Vortex Pairs in Bose-Einstein Condensates

Author : Emine Altuntas
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.:/5 (741 download)

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Book Synopsis Real-time Dynamics of Co-rotating Vortex Pairs in Bose-Einstein Condensates by : Emine Altuntas

Download or read book Real-time Dynamics of Co-rotating Vortex Pairs in Bose-Einstein Condensates written by Emine Altuntas and published by . This book was released on 2011 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics of Rotating Bose-Einstein Condensate with Vortices

Author : Sungjong Woo
Publisher :
ISBN 13 : 9780549024163
Total Pages : 104 pages
Book Rating : 4.0/5 (241 download)

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Book Synopsis Dynamics of Rotating Bose-Einstein Condensate with Vortices by : Sungjong Woo

Download or read book Dynamics of Rotating Bose-Einstein Condensate with Vortices written by Sungjong Woo and published by . This book was released on 2007 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The collective excitations in a many-body system play a central role in the understanding of the system's bulk properties. Especially in quantum degenerate systems such as a Bose-Einstein condensate (BEC), studies of excitations provide a basis for interpreting complex microscopic dynamics, giving essential insight into energy flow and dissipation. Furthermore, the topological characters of excitations such as quantized vortices are of intrinsic fundamental interest. In my research, the dynamical properties of a trapped atomic BEC with an imbedded vortex lattices have been studied using mean-field quantum theory. Due to the inherent complexity of the system associated with the structure of the vortices and the density inhomogeneity, it is very difficult to solve such problems without approximations. In order to overcome such difficulties, we have approached the problem numerically using powerful parallel computational packages. This approach successfully revealed new features in the dynamics of the condensate and its vortices, features which had not been seen in any other calculation. We have also studied and proposed an approach to quantum control of quasiparticle excitations of a BEC. Motivated from these results, we extended the study of BEC dynamics to two-species spinor condensates and found interesting effects such as vortex shear flow. Results from searching for the ground state vortex configuration of an atom-molecule coupled condensate are also presented.

Emergent Nonlinear Phenomena in Bose-Einstein Condensates

Author : Panayotis G. Kevrekidis
Publisher : Springer Science & Business Media
ISBN 13 : 3540735917
Total Pages : 398 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Emergent Nonlinear Phenomena in Bose-Einstein Condensates by : Panayotis G. Kevrekidis

Download or read book Emergent Nonlinear Phenomena in Bose-Einstein Condensates written by Panayotis G. Kevrekidis and published by Springer Science & Business Media. This book was released on 2007-12-29 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, written by experts in the fields of atomic physics and nonlinear science, covers the important developments in a special aspect of Bose-Einstein condensation, namely nonlinear phenomena in condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; mathematical methods/rigorous results; and the beyond-the-mean-field approach.

The Defocusing Nonlinear Schr?dinger Equation

Author : Panayotis G. Kevrekidis
Publisher : SIAM
ISBN 13 : 1611973945
Total Pages : 437 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis The Defocusing Nonlinear Schr?dinger Equation by : Panayotis G. Kevrekidis

Download or read book The Defocusing Nonlinear Schr?dinger Equation written by Panayotis G. Kevrekidis and published by SIAM. This book was released on 2015-08-04 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bose?Einstein condensation is a phase transition in which a fraction of particles of a boson gas condenses into the same quantum state known as the Bose?Einstein condensate (BEC). The aim of this book is to present a wide array of findings in the realm of BECs and on the nonlinear Schr?dinger-type models that arise therein.?The Defocusing Nonlinear Schr?dinger Equation?is a broad study of nonlinear?excitations in self-defocusing nonlinear media. It summarizes state-of-the-art knowledge on the defocusing nonlinear Schr?dinger-type models in a single volume and contains a wealth of resources, including over 800 references to relevant articles and monographs and a meticulous index for ease of navigation.

Bose-Einstein Condensation Dynamics

Author : Arafat Almanea
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783844391053
Total Pages : 204 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bose-Einstein Condensation Dynamics by : Arafat Almanea

Download or read book Bose-Einstein Condensation Dynamics written by Arafat Almanea and published by LAP Lambert Academic Publishing. This book was released on 2011-05 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the time-splitting spectral method, the time- dependent GPE is discretized further more and different forms of potentials are used to obtain interesting results for trapping in harmonic and different potentials, confined in this work. Spatial and time discretization error analyses for present results were compared with those obtained by other authors for different techniques. Fourth- order time-splitting pseudospectral (TSP), Hermite pseudospectral (HP), Laguerre pseudospectral (LP) and Laguerre-Hermite pseudospectral (LHP) methods are improved which are developed to study GPE of rotating BEC. In all cases the characteristic feature of vortex dynamics and interactions in superconductivity and superfluidity are studied by considering the Ginzburg-Landau-Schrödinger equation (GLSE).Finally, to describe the dynamics of atom laser, the interaction Hamiltonian is derived between the two-level atoms with an electromagnetic field and then introducing the equations of motion. This interaction Hamiltonian is used to describe the outcoupling process in a Raman atom laser.

Rotational Dynamics of Vortices in a Bose-Einstein Condensate

Author : Sarah Ann McGee
Publisher :
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.:/5 (454 download)

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Book Synopsis Rotational Dynamics of Vortices in a Bose-Einstein Condensate by : Sarah Ann McGee

Download or read book Rotational Dynamics of Vortices in a Bose-Einstein Condensate written by Sarah Ann McGee and published by . This book was released on 2000 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vortex Dynamics in Bose-Einstein Condensates

Author : Benjamin Michael Caradoc-Davies
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (155 download)

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Book Synopsis Vortex Dynamics in Bose-Einstein Condensates by : Benjamin Michael Caradoc-Davies

Download or read book Vortex Dynamics in Bose-Einstein Condensates written by Benjamin Michael Caradoc-Davies and published by . This book was released on 2000 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spontaneous Formation of Quantized Vortices in Bose-Einstein Condensates

Author :
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (659 download)

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Book Synopsis Spontaneous Formation of Quantized Vortices in Bose-Einstein Condensates by :

Download or read book Spontaneous Formation of Quantized Vortices in Bose-Einstein Condensates written by and published by . This book was released on 2008 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transitions abound in the physical world, from the subatomic length scales of quark condensation to the decoupling forces in the early universe. In the Bose-Einstein condensation phase transition, a gas of trapped bosonic atoms is cooled to a critical temperature. Below this temperature, a macroscopic number of atoms suddenly starts to occupy a single quantum state; these atoms comprise the Bose-Einstein condensate (BEC). The dynamics of the BEC phase transition are the focus of this dissertation and the experiments described here have provided new information on the details of BEC formation. New theoretical developments are proving to be valuable tools for describing BEC phase transition dynamics and interpreting new experimental results. With their amenability to optical manipulation and probing along with the advent of new microscopic theories, BECs provide an important new avenue for gaining insight into the universal dynamics of phase transitions in general. Spontaneous symmetry breaking in the system's order parameter may be one result of cooling through a phase transition. A potential consequence of this is the spontaneous formation of topological defects, which in a BEC appear as vortices. We experimentally observed and characterized the spontaneous formation of vortices during BEC growth. We attribute vortex creation tocoherence length limitations during the initial stages of the phase transition. Parallel to these experimental observations, theory collaborators have used the Stochastic Gross-Pitaevski Equation formalism to simulate the growth of a condensate from a thermal cloud. The experimental and theoretical statistical results of the spontaneous formation of vortex cores during the growth of the condensate are in good quantitative agreement with one another, supporting our understanding of the dynamics of the phase transition. We believe that our results are also qualitatively consistent with the Kibble-Zurek mechanism, a universal model for topological defect formation. Ultimately, our understanding of the dynamics of the BEC phase transition may lead to a broader understanding of phase transitions in general, and provide new insight into the development of coherence in numerous systems.

Bose-Einstein Condensation

Author : Keith Burnett (Ed); Mark Edwar
Publisher : DIANE Publishing
ISBN 13 : 0788137409
Total Pages : 213 pages
Book Rating : 4.7/5 (881 download)

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Book Synopsis Bose-Einstein Condensation by : Keith Burnett (Ed); Mark Edwar

Download or read book Bose-Einstein Condensation written by Keith Burnett (Ed); Mark Edwar and published by DIANE Publishing. This book was released on 1996-12 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the most remarkable effects that quantum mechanics adds to the catalog of the thermal properties of matter is "condensation" of an ideal gas of identical particles into a single quantum state, the principle of which was discovered in the theory of statistical mechanics by Bose and Einstein in the 1920s. Bose-Einstein condensation (BEC) is a mechanism for producing a macroscopic quantum system, and is exemplary of the macroscopic quantum phenomena of superconductivity and superfluidity.These 15 papers provide an introduction to current work on BEC.

Stability and Collapse Dynamics of Dipolar Bose-Einstein Condensates in One-Dimensional Optical Lattices

Author : Stefan Müller
Publisher :
ISBN 13 : 9783843909570
Total Pages : 0 pages
Book Rating : 4.9/5 (95 download)

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Book Synopsis Stability and Collapse Dynamics of Dipolar Bose-Einstein Condensates in One-Dimensional Optical Lattices by : Stefan Müller

Download or read book Stability and Collapse Dynamics of Dipolar Bose-Einstein Condensates in One-Dimensional Optical Lattices written by Stefan Müller and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics of Bose-Einstein Condensates in Josephson Junctions

Author : Jaclyn Semple
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.:/5 (72 download)

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Book Synopsis Dynamics of Bose-Einstein Condensates in Josephson Junctions by : Jaclyn Semple

Download or read book Dynamics of Bose-Einstein Condensates in Josephson Junctions written by Jaclyn Semple and published by . This book was released on 2011 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: We numerically solve the Gross-Pitaevskii equation and the Bogoliubov de Gennes equations for a double well potential in order to model the dynamics of a Bose-Einstein condensate in a Josephson junction. First, the two dynamical regimes of the Josephson junction, that is, Josephson oscillations and self-trapping, are investigated under the application of a large sudden perturbation. It is found that the Josephson dynamics have a strong dependence on the strength of the interatomic interaction, and we observe the breakdown of the two-mode approximation. Second, we study the control of the dynamics through the use of a time-dependent, tilted double well potential. In the context of complete population transfer, the effect of the interactions on the adiabaticity and self-trapping is discussed in terms of a Landau-Zener-like model. We then explore the splitting of the condensate and the resulting dynamical behaviour by keeping the interaction strength constant, but changing the rate of the tilt sweep. Lastly, we examine the effect of the tilt sweep rate on the dynamics of population transfer. We observe a dependence of the self-trapping on the adiabaticity.