Abstract
Form factors are derived for a model describing the coherent Josephson tunneling between two coupled Bose–Einstein condensates. This is achieved by studying the exact solution of the model with in the framework of the algebraic Bethe ansatz. In this approach the form factors are expressed through determinant representations which are functions of the roots of the Bethe ansatz equations.
Similar content being viewed by others
References
Leggett, A. J.: Rev. Mod. Phys. 73 (2001), 307.
Milburn, G. J., Corney, J., Wright, E. M. and Walls, D. F.: Phys. Rev. A 55 (1997), 4318.
Barone, A. and Paterno, G.: Physics and Applications of the Josephson Effect, Wiley, New York, 1982.
Anglin, J. R., Drummond, P. and Smerzi, A.: Phys. Rev. A 64 (2001), 063605.
Enol'skii, V. Z., Salerno, M., Kostov, N. A. and Scott, A. C.: Phys. Scripta 43 (1991), 229; Enol'skii, V. Z., Salerno, M., Scott, A. C. and Eilbeck, J. C.: Physica D 59 (1992), 1.
6. Zhou, H.-Q., Links, J., McKenzie, R. H. and Guan, X.-W.: Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates, cond-mat/0203009.
Josephson, B. D.: Phys. Lett. 1 (1962), 251; Rev. Modern Phys. 46 (1974), 251.
Yu, S.-X.: Phys. Rev. Lett. 79 (1997), 780.
9. Korepin, V. E., Bogoliubov, N. M. and Izergin, A. G.: Quantum Inverse Scattering Method and Correlation Functions, Cambridge Univ. Press, 1993.
Kitanine, N. Maillet, J. M. and Terras, V.: Nuclear Phys. B 554 (1999), 647.
Kuznetsov, V. B. and Tsiganov, A. V.: J. Phys. A: Math. Gen. 22 (1989), L73.
Izergin, A. G. and Korepin, V. E.: Lett. Math. Phys. 6 (1982), 283.
Slavnov, N. A.: Theoret Math. Phys. 79 (1989), 502.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Links, J., Zhou, HQ. Exact Form Factors for the Josephson Tunneling Current and Relative Particle Number Fluctuations in a Model of Two Coupled Bose–Einstein Condensates. Letters in Mathematical Physics 60, 275–282 (2002). https://doi.org/10.1023/A:1016239508822
Issue Date:
DOI: https://doi.org/10.1023/A:1016239508822