Spectral properties of a Rydberg atom immersed in a Bose-Einstein condensate

S. Middelkamp, I. Lesanovsky, and P. Schmelcher
Phys. Rev. A 76, 022507 – Published 23 August 2007

Abstract

The electronic spectrum of a Rydberg atom immersed in a Bose-Einstein condensate is investigated. The Heisenberg equations of motions for the condensate and the Rydberg atom are derived. Neglecting the back action of the Rydberg atom onto the condensate decouples the equations describing the condensate and Rydberg atom. In this case the spectral structure of the Rydberg atom is completely determined by an effective potential which depends on the density distribution of the condensate. We study the spectral properties for the situation of an isotropic harmonic and anharmonic as well as axially symmetric confinement. In the latter case an intriguing analogy with Rydberg atoms in magnetic fields is encountered.

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  • Received 16 March 2007

DOI:https://doi.org/10.1103/PhysRevA.76.022507

©2007 American Physical Society

Authors & Affiliations

S. Middelkamp1,*, I. Lesanovsky2,†, and P. Schmelcher1,3,‡

  • 1Theoretische Chemie, Institut für Physikalische Chemie, Universität Heidelberg, INF 229, 69120 Heidelberg, Germany
  • 2Institut für Theoretische Physik, Universität Innsbruck, Technikerstrasse 21 a, A-6020 Innsbruck, Austria
  • 3Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany

  • *stephan.middelkamp@pci.uni-heidelberg.de
  • Igor.Lesanovsky@uibk.ac.at
  • peter.schmelcher@pci.uni-heidelberg.de

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Issue

Vol. 76, Iss. 2 — August 2007

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