Motional stability of the quantum kicked rotor: A fidelity approach

F. Haug, M. Bienert, W. P. Schleich, T. H. Seligman, and M. G. Raizen
Phys. Rev. A 71, 043803 – Published 5 April 2005

Abstract

We propose an atom optics experiment to measure the stability of the quantum kicked rotor under perturbations of the Hamiltonian. We avail ourselves of the theory of Loschmidt echoes, i.e., we consider the overlap of a quantum state evolved in a perturbed and an unperturbed potential. Atom interferometry allows us to determine the overlap integral in amplitude and phase. A numerical analysis of the kicked rotor in various regimes shows that the quantum signatures of specific classical properties can be detected experimentally.

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  • Received 16 July 2004

DOI:https://doi.org/10.1103/PhysRevA.71.043803

©2005 American Physical Society

Authors & Affiliations

F. Haug, M. Bienert, and W. P. Schleich

  • Abteilung für Quantenphysik, Universität Ulm, D-89069 Ulm, Germany

T. H. Seligman

  • Centro de Ciencias Físicas, University of Mexico (UNAM), C.P. 62210 Cuernavaca, Mor. Mexico

M. G. Raizen

  • Center for Nonlinear Dynamics and Department of Physics, The University of Texas at Austin, Austin, Texas 78712-1081, USA

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Vol. 71, Iss. 4 — April 2005

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