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Stability of Bose-Einstein Condensates in a Random Potential

Title: Stability of Bose-Einstein Condensates in a Random Potential.
Name(s): Pawlak, Kelly, author
Department of Physics
Type of Resource: text
Genre: Text
Issuance: serial
Date Issued: 2013
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: In 1924 Bose and Einstein predicted that certain types of atomic gases, when cooled down to almost 0K, tend to condense (while remaining a gas) and form a "super atom" that behaves like a single wave rather than an assembly of particles. This phenomenon, known as Bose-Einstein condensation (BEC), is counterintuitive as gases usually solidify at very low temperatures. Over the years, many scientists have failed trying to directly observe this phenomenon in laboratory experiments until 1995. Using a new experimental technique called laser cooling, two groups led by Wolfgang Ketterle and Eric Cornell (MIT) and Carl Wieman (CU) finally observed the formation of BECs and were awarded the physics Nobel Prize in 2001. BECs are now a very active topic in theoretical and experimental physics, having potential use in dozens of applications. Theoretically, the dynamics of the condensate are accurately modeled by the Gross—Pitaevskii equation (GPE). The analysis of the GPE is formidable due to its nonlinearity and therefore numerical simulations are necessary to survey basic BEC dynamics. As a result, there are many open questions regarding the behavior of BEC's and their dynamics. My research looks to answer the question of stability of the condensate. Given a certain experimental configuration, will the condensate remain stable so that data can be collected? Certain kinds of experimental variations are accurately modeled by a low frequency random potential (i.e. "noise"). By including this noise into mathematical workups of common experimental configurations, we can theoretically test the stability of the condensate. We use a 1D mathematical model with the assumption that the gas is dilute and non-interacting sans infrequent elastic collisions between the particles. The results are non-trivial, and show that the condensate favors periodicity.
Identifier: FSU_migr_undergradresearch-0007 (IID)
Subject(s): Mathematics
Persistent Link to This Record:
Owner Institution: FSU
Is Part of Series: Showcase of Undergraduate Research Excellence.

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Pawlak, K. (2013). Stability of Bose-Einstein Condensates in a Random Potential. Retrieved from