Fluctuations in Two Component Interacting Bose–Einstein Condensate

  • Andrii S. Sizhuk
  • Anatoly A. Svidzinsky
  • Marlan O. Scully


The problem of particle number fluctuations in Bose–Einstein condensate (BEC) in the canonical ensemble is a subject of long-standing interest [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]. Recently, such a problem received growing attention due to possibility of measuring fluctuations in experiments with BEC of trapped atoms [15]. In the canonical ensemble, the total number of particles N is fixed, but the system can exchange energy with an external thermal reservoir at temperature T. Due to the constraint on particle number an analytical treatment of fluctuations is highly nontrivial.


Particle Number Canonical Ensemble Condensate Particle Bogoliubov Transformation Particle Operator 
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It is a pleasure to dedicate this chapter to David Middleton whose interests run from theoretical physics (e.g., his Ph.D. background) to subtle statistical analysis (e.g., his famous books). We gratefully acknowledge support of the National Science Foundation Grant EEC-0540832 (MIRTHE ERC), the Office of Naval Research and the Robert A. Welch Foundation (Award A-1261).


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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Andrii S. Sizhuk
    • 1
  • Anatoly A. Svidzinsky
    • 1
  • Marlan O. Scully
    • 1
    • 2
  1. 1.Institute for Quantum Studies and Department of PhysicsTexas A&M UniversityCollege StationUSA
  2. 2.Applied Physics and Materials Science Group, Engineering QuadPrinceton UniversityPrincetonUSA

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