Engineering fidelity echoes in Bose-Hubbard Hamiltonians

Details Engineering fidelity echoes in Bose-Hubbard Hamiltonians Engineering fidelity echoes in Bose-Hubbard Hamiltonians

2007-05-23

arxiv.org/abs/0705.3454v1

Europhysics Letters 78 (2007) 50003

Physics

Condensed Matter

Other Condensed Matter

6 pages, use epl2.cls class, 5 figures Cross reference with nlin, quant-phys

Scientific paper

10.1209/0295-5075/78/50003

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.

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