Engineering fidelity echoes in Bose-Hubbard HamiltoniansJ. D. Bodyfelt1, M. Hiller1, 2, 3 and T. Kottos1, 2
1 Wesleyan University, Department of Physics - 265 Church St., Middletown, CT 06459, USA
2 MPI for Dynamics and Self-Organization - Bunsenstraße 10, D-37073 Göttingen, Germany
3 Fakultät für Physik, Universität Göttingen - Friedrich-Hund-Platz 1, D-37077 Göttingen, Germany
received 20 February 2007; accepted in final form 20 April 2007; published June 2007
published online 21 May 2007
We analyze the fidelity decay for a system of interacting bosons described by a Bose-Hubbard Hamiltonian. We find echoes associated with "non-universal" structures that dominate the energy landscape of the perturbation operator. Despite their classical origin, these echoes persist deep into the quantum (perturbative) regime and can be described by an improved random matrix modeling. In the opposite limit of strong perturbations (and high enough energies), classical considerations reveal the importance of self-trapping phenomena in the echo efficiency.
05.30.Jp - Boson systems .
05.45.Mt - Quantum chaos; semiclassical methods .
03.65.Yz - Decoherence; open systems; quantum statistical methods .
© Europhysics Letters Association 2007