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Fluctuations in Two Component Interacting Bose–Einstein Condensate

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Classical, Semi-classical and Quantum Noise

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Abstract

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.

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Acknowledgments

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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Authors and Affiliations

  1. Institute for Quantum Studies and Department of Physics, Texas A&M University, College Station, TX, USA

    Andrii S. Sizhuk, Anatoly A. Svidzinsky & Marlan O. Scully

  2. Applied Physics and Materials Science Group, Engineering Quad, Princeton University, Princeton, NJ, USA

    Marlan O. Scully

Authors
  1. Andrii S. Sizhuk
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  2. Anatoly A. Svidzinsky
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  3. Marlan O. Scully
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Corresponding author

Correspondence to Andrii S. Sizhuk .

Editor information

Editors and Affiliations

  1. Hunter College & Graduate Center, City University of New York, Park Ave. 695, New York, 10021, New York, USA

    Leon Cohen

  2. Dept. Electrical Engineering, Princeton University, Olden Street, Princeton, 08544, New Jersey, USA

    H. Vincent Poor

  3. Mechanical & Aerospace, Engineering Dept., Princeton University, Olden Street, Princeton, 08544, New Jersey, USA

    Marlan O. Scully

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Sizhuk, A.S., Svidzinsky, A.A., Scully, M.O. (2012). Fluctuations in Two Component Interacting Bose–Einstein Condensate. In: Cohen, L., Poor, H., Scully, M. (eds) Classical, Semi-classical and Quantum Noise. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6624-7_16

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  • DOI: https://doi.org/10.1007/978-1-4419-6624-7_16

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