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Open Quantum Systems Decoherence
Quantum Simulation
Entanglement Theory Quantum Correlations
Quasienergy anholonomy and its application to adiabatic quantum state manipulation
arXiv
Authors: Atushi Tanaka, Manabu Miyamoto
Year
2007
Paper ID
50550
Status
Preprint
Abstract Read
~2 min
Abstract Words
89
Citations
N/A
Abstract
The parametric dependence of a quantum map under the influence of a rank-1 perturbation is investigated. While the Floquet operator of the map and its spectrum have a common period with respect to the perturbation strength λ, we show an example in which none of the quasienergies nor the eigenvectors obey the same period: After a periodic increment of λ, the quasienergy arrives at the nearest higher one, instead of the initial one, exhibiting an anholonomy, which governs another anholonomy of the eigenvectors. An application to quantum state manipulations is outlined.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- The parametric dependence of a quantum map under the influence of a rank-1 perturbation is investigated.
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