Author : Wei Li
Release : 2007
Genre :
Kind : eBook
Book Rating : 998/5 ( reviews)
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Book Synopsis Quantum Dynamics of Bose-einstein Condensate in 1D Optical Lattice by : Wei Li
Download or read book Quantum Dynamics of Bose-einstein Condensate in 1D Optical Lattice written by Wei Li. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: The realization of Bose Einstein condensation in ultra-cold dilute atomic gases, represented by a macroscopic occupation of ground state and the non-vanishing order parameter, makes the study of quantum many-body physics and condensed matter physics much easier. Especially, the quantum dynamics of condensate in the optical lattice serves as a perfect test-bed to study the condensed matter physics such as Josephson tunneling, Bloch oscillations, Landau-Zener tunneling. The interplay of mean field interaction and coherent Josephson tunneling leads to rich phases described by the Bose-Hubbard model such as Superfluid-Insulator transition at zero temperature and Berezinskii-Kosterlitz thouless transition at finite temperature. Furthermore, due to the extremely narrow momentum distribution of Bose Einstein condensate, it can be used to make interferometer as sensitive phase detector. The creation of number squeezed state of BEC enables the realization of Heisenberg-limited interferometer which can bring the noise below shot-noise level. The coherence time of such squeezed state interferometer can be longer than that of the coherent state interferometers. The quasi-2D geometry in 1D optical lattice can be used to study superfluid to normal fluid transition when topological order is broken. The studies of Kosterlitz-Thouless with inter-well coupling can lead to the interpretation of High TC superconductivity. This work will discuss the quantum dynamics of the Bose-Einstein condensate in 1D optical lattice.