Many-Body Schrödinger Dynamics of Bose-Einstein Condensates by Kaspar Sakmann

Cover of: Many-Body Schrödinger Dynamics of Bose-Einstein Condensates | Kaspar Sakmann

Published by Springer-Verlag Berlin Heidelberg in Berlin, Heidelberg .

Written in English

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  • Physics

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Book details

Statementby Kaspar Sakmann
SeriesSpringer Theses
ContributionsSpringerLink (Online service)
The Physical Object
Format[electronic resource] /
ID Numbers
Open LibraryOL25547044M
ISBN 109783642228650, 9783642228667

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Many-Body Schrödinger Dynamics of Bose-Einstein Condensates (Springer Theses) - Kindle edition by Kaspar Sakmann.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Many-Body Schrödinger Dynamics of Bose-Einstein Condensates (Springer Theses).Cited by: In this thesis the first numerically exact solutions of Many-Body Schrödinger Dynamics of Bose-Einstein Condensates book time-dependent many-body Schrödinger equation for a bosonic Josephson junction are provided and compared to the approximate Gross-Pitaevskii and Bose-Hubbard theories.

It is thereby shown that the dynamics of Bose-Einstein condensates is far more intricate than one would anticipate Brand: Springer-Verlag Berlin Heidelberg. Recently, it has become clear that many different types of condensates -- so called fragmented condensates -- exist.

In order to tell whether fragmentation occurs or not, it is necessary to solve the full many-body Schrödinger equation, a task that remained. Many-Body Schrödinger Dynamics of Bose-Einstein Condensates (Springer Theses) [Sakmann, Kaspar] on *FREE* shipping on qualifying offers.

Many-Body Schrödinger Dynamics of Bose-Einstein Condensates (Springer Theses)Cited by: In this thesis, the physics of trapped, interacting Bose-Einstein condensates is analyzed by solving the many-body Schrödinger equation. Particular emphasis is put on coherence, fragmentation and Author: Kaspar Sakmann.

Read "Many-Body Schrödinger Dynamics of Bose-Einstein Condensates" by Kaspar Sakmann available from Rakuten Kobo. At extremely low temperatures, clouds of bosonic atoms form what is known as a Bose-Einstein condensate. Recently, it ha Brand: Springer Berlin Heidelberg. Get this from a library.

Many-body Schrödinger dynamics of Bose-Einstein condensates. [Kaspar Sakmann] -- At extremely low temperatures, clouds of bosonic atoms form what is known as a Bose-Einstein condensate.

Recently, it has become clear that many different types of condensates¡ -. Many-Body Schroedinger Dynamics of Bose-Einstein Condensates by Kaspar Sakmann,available at Book Depository with free delivery : Kaspar Sakmann.

Many-body Schrödinger dynamics of Bose-Einstein condensates. [Kaspar Sakmann] Home. WorldCat Home About WorldCat Help.

Search. Search This book offers the first numerically exact solutions of the time-dependent many-body Schroedinger equation for a bosonic Josephson junction. Many-Body Schrödinger Dynamics of Bose-Einstein Condensates Sakmann, Kaspar; Abstract.

Not Available. Publication: Many-Body Schrödinger Dynamics of Bose-Einstein Condensates: Pub Date: DOI: / Bibcode: .S Keywords: Physics; full text sources Cited by: Ellibs E-kirjakauppa - E-kirja: Many-Body Schrödinger Dynamics of Bose-Einstein Condensates - Tekijä: Sakmann, Kaspar - Hinta: ,70€.

() Derivation of the 1d nonlinear Schrödinger equation from the 3d quantum many-body dynamics of strongly confined bosons. Journal of Mathematical Physics() Ground states of Bose–Einstein condensates with higher order by: At extremely low temperatures clouds of bosonic atoms form what is known as a Bose-Einstein condensate.

Recently, it has become clear that many different types of condensates -- so called fragmented condensates -- exist. In order to tell whether fragmentation occurs or not, it is necessary to solve the full many-body Schrödinger equation, a. Numerically exact dynamics of the interacting many-body Schrödinger equation for Bose-Einstein condensates: comparison to Bose-Hubbard and Gross-Pitaevskii theory Article (PDF Available Author: Kaspar Sakmann.

A Bose–Einstein condensate (BEC) is a state of matter (also called the fifth state of matter) which is typically formed when a gas of bosons at low densities is cooled to temperatures very close to absolute zero ( °C). Under such conditions, a large fraction of bosons occupy the lowest quantum state, at which point microscopic quantum phenomena, particularly wavefunction interference.

Sakmann K. () General Methods for the Quantum Dynamics of Identical Bosons. In: Many-Body Schrödinger Dynamics of Bose-Einstein Condensates. Springer : Kaspar Sakmann. This thesis addresses the intriguing topic of the quantum tunnelling of many-body systems such as Bose-Einstein condensates.

Despite the enormous amount of work on the tunneling of a single particle through a barrier, we know very little about how a system made of several or of many particles tunnels through a barrier to open space. The book is an introductory text to the physics of Bose-Einstein condensation.

This phenomenon, first predicted by Einstein inhas been realized experimentally in in a remarkable series of experiments whose importance has been recognized by the award of the Nobel Prize in Physics.

The condensate is actually a new state of matter, where quantum-mechanical 5/5(1). Read "Probing Correlated Quantum Many-Body Systems at the Single-Particle Level" by Manuel Endres available from Rakuten Kobo. How much knowledge can we gain about a physical system and to what degree can we control it.

Many-Body Schrödinger Dynamics of Bose-Einstein Condensates. Kaspar Sakmann. $ Electron Nano-Imaging. Nobuo : Springer International Publishing.

Quantum many-body dynamics attract an enormous amount of interest in physics, chemistry, and mathematics alike. The purpose of this Special Issue is to amalgamate contributions from researchers actively working on solutions, applications, and theoretical methodologies for the time-dependent Schrödinger equation for few- and many-particle systems.

Exact Nonlinear Dynamics in Spinor Bose-Einstein Condensates 33 where a is the s-wave scattering length. The scattering length is the controllable parameter which determines the properties of the low energy scattering between cold atoms.

The positive (negative) sign of a corresponds to the effectively repulsive (attractive) interaction. Bose-Einstein condensates. decade ago, physicists created a new kind of atomic matter called a Bose-Einstein condensate (BEC).

The phenomenon is not only providing new insights into quantum theory – which underpins our understanding of the Universe at the microscopic level – but also opens the door. Generalized coherent state representation of Bose-Einstein condensates V. Chernyak,1 S. Choi,2 and S. Mukamel2,3 1Corning Incorporated, Process Engineering and Modeling, Corning, New York 2Department of Physics and Astronomy, University of Rochester, Rochester, New York 3Department of Chemistry, University of Rochester, Rochester, New York Exploiting Quench Dynamics in Spin Chains for Distant Entanglement and Quantum Communication Hannu Christian Wichterich.

Extraction of Pure Entangled States From Many-Body Systems by Distant Local Projections Many-Body Schrödinger Dynamics of Bose-Einstein Condensates. Quantum Monte Carlo encompasses a large family of computational methods whose common aim is the study of complex quantum of the major goals of these approaches is to provide a reliable solution (or an accurate approximation) of the quantum many-body diverse flavor of quantum Monte Carlo approaches all share the common use of the Monte Carlo method to handle the.

Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate Pages from Volume (), Issue 1 by László Erdős, Benjamin Schlein, Horng-Tzer Yau AbstractCited by:   When BECs were first created I didn't necessarily expect them to find any technological applications.

I'm not sure that the scientists who made the BECs had any expectation of practical applications either. Certainly, that is not primarily what th.

Kay Kirkpatrick, Benjamin Schlein and Gigliola Staffilani, Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics, \emph{American Journal of Mathematics}, (), doi: /ajm Google Scholar [31]Author: Jianjun Yuan.

Of the five states matter can be in, the Bose-Einstein condensate is perhaps the most mysterious. Gases, liquids, solids and plasmas were all well studied for decades, if not centuries; Bose.

Condensed Matter Nucl. Sci. 4 () – ResearchArticle Bose–Einstein Condensate Theory of Deuteron Fusion in Metal Yeong E. Kim ∗ Purdue Nuclear and Many-body Theory (PNMBT) Group, Department of Physics, Purdue University,West Lafayette, INUSA. Behavior of a Bose-Einstein condensate containing a large number of atoms interacting through a finite-range interatomic interaction: We investigate Bose-Einstein condensates (BEC) containing a large number of bosonic atoms interacting via a finite-range semirealistic interatomic interaction.

to solve the many-body Schrödinger equation. Other articles introduce students to applications of these methods in front-line research, such as Bose–Einstein condensates, the nuclear many-body problem, and the dynamics of quantum liquids.

These keynote articles are supplemented by experimental reviews on intimately connected topics that are of current relevance. We suggest that crucial effect on Bose-Einstein condensation in systems with attractive potential is three-body interaction.

We investigate stationary solutions of the Gross-Pitaevskii equation with negative scattering length and a higher-order stabilising term in presence of an external parabolic by: Visualization of Bose-Einstein Condensates. but also for the investigation of vortex dynamics in these systems.

"Visualizing Bose-Einstein Condensates", Computing in Science and Engineering, Volume 5, Number 1, January-February, pagesJames S. Sims. Abstract: We report on some recent results concerning the dynamics of Bose-Einstein condensates, obtained in a series of joint papers with L.

Erdos and H.-T. Yau. Starting from many body quantum dynamics, we present a rigorous derivation of a cubic nonlinear Schroedinger equation known as the Gross-Pitaevskii equation for the time evolution of the condensate wave by: 7.

The realization of Bose-condensed gases with alkali elements [1, 2] provided physicists with a great opportunity to test a new regime of matter that until then was considered a purely theoretical theoretical basis for the description of these systems has seen the development of excellent reviews [3, 4] and textbooks [5, 6].The dynamics of the condensate at zero temperature is Cited by: In this paper, we mainly review recent results on mathematical theory and numerical methods for Bose-Einstein condensation (BEC), based on the Gross-Pitaevskii equation (GPE).

Starting from the simplest case with one-component BEC of the weakly interacting bosons, we study the reduction of GPE to lower dimensions, the ground states of BEC including the existence and uniqueness as well as Cited by: Bose–Einstein condensation.

Bose–Einstein condensation is the macroscopic occupation of the same quantum level by the particles of a system. Because of Pauli’s principle, these particles must be bosons. The phenomenon, known sincetakes place if the temperature T of the system is less than a certain critical value T by: shaped) Bose-Einstein condensates.

The second part of the paper, Section 4, de-tails the construction of effective one- and two-dimensional polynomial Schrodinger¨ equations which describe the longitudinal (transversal) dynamics of high-density cigar-shaped (pancake-shaped) Bose-Einstein condensates.

Finally, Section 5 gathers our concluding. Abstract. Since the nowadays growing interest in Bose-Einstein condensates due to the expanded experimental evidence on various atomic systems within optical lattices in weak and strong coupling regimes, the connection with Density Functional Theory is firstly advanced within the mean field framework at three levels of comprehension: the many-body normalization condition, Thomas-Fermi.

() Formations of n-order two-soliton bound states in Bose–Einstein condensates with spatiotemporally modulated nonlinearities. Physics Letters A() Dynamic Control of Collapse in a Vortex Airy by: We study the application of Bose-Einstein condensates (BECs) to simulations of phenomena across a number of disciplines in physics, using theoretical and computational methods.

Collapsing condensates as created by E. Donley et al. [Nature39 ()] exhibit potentially useful parallels to an inflationary universe. To enable the ex-Author: Sebastian Wuester.Ultracold atomic gases is a rapidly developing area of physics that attracts many young researchers around the world.

Written by world renowned experts in the field, this book gives a comprehensive overview of exciting developments in Bose-Einstein condensation and superfluidity from a theoretical perspective.

The authors also make sense of key experiments from the past twenty years with a.

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