Please use this identifier to cite or link to this item: http://hdl.handle.net/10603/5610
Title: Investigation of modulational instability and solitons in Bose Einstein condensates
Researcher: Murali, R
Guide(s): Porsezian, K
Keywords: Bose-Einstein condensation
Physics
Upload Date: 19-Dec-2012
University: Pondicherry University
Completed Date: March 2010
Abstract: In 1924 the Indian physicist S.N. Bose sent a paper to Einstein in which he derived the Planck law for black-body radiation by treating the photons as a gas of identical particles. Einstein generalized Bose?s theory to an ideal gas of identical atoms or molecules for which the number of particles is conserved. In the same year, Einstein predicted that at sufficiently low temperatures the particles would become locked together in the lowest quantum state of the system. We now know that this novel phenomenon, called Bose-Einstein condensation, will occur only for ?bosons?. Even though a lot of theoretical work has been done for many years on Bose Einstein condensates (BEC), only in 1995, this idea has been demonstrated in a series of experiments on vapors of alkali gas like 3Li, 23Na, and 85Rb in which the atoms confined in magnetic traps were cooled down to extremely low temperature of the order of micro Kelvin. Theoretical studies of trapped weakly interacting Bose gas have a long history. In this direction, in 1950, Gross and Pitaevskii carried out a pioneering work on the macroscopic wave function for BEC. This thesis deals with the modulational instability (MI) and theoretical study of soliton dynamics in a system of BEC under the appropriate physical conditions. The first chapter begins with the general introduction of Bose-Einstein condensation. Next, we discuss briefly for the fundamental particles like fermions and bosons. Next, we present and discuss several crucial concepts for understanding the phenomenon of non-interaction Bose gas. Further, we briefly discuss the experimental overview of BEC. Next, we discuss the theoretical background of weakly interacting dilute BEC and derive the Gross-Pitaevskii (GP) equation for the dynamics of the condensate. In the following discussion, we present collisional properties between the two atoms in the ultracold regime of atomic gases. Further, we discuss the physical properties of the condensates such as density, velocity of the condensate and approximate solution
Pagination: 144p.
URI: http://hdl.handle.net/10603/5610
Appears in Departments:Department of Physics

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01_title.pdfAttached File148.72 kBAdobe PDFView/Open
02_declaration.pdf26.76 kBAdobe PDFView/Open
03_certificate.pdf26.32 kBAdobe PDFView/Open
04_dedication.pdf288.65 kBAdobe PDFView/Open
05_contents.pdf61.26 kBAdobe PDFView/Open
06_acknowledgements.pdf47.88 kBAdobe PDFView/Open
07_abstract.pdf56.46 kBAdobe PDFView/Open
08_list of publications.pdf53.71 kBAdobe PDFView/Open
09_chapter 1.pdf363.56 kBAdobe PDFView/Open
10_chapter 2.pdf2.14 MBAdobe PDFView/Open
11_chapter 3.pdf10.29 MBAdobe PDFView/Open
12_chapter 4.pdf4.91 MBAdobe PDFView/Open
13_chapter 5.pdf317.6 kBAdobe PDFView/Open
14_chapter 6.pdf100.69 kBAdobe PDFView/Open
15_references.pdf120.49 kBAdobe PDFView/Open


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