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Open Quantum Systems Decoherence
Quantum Simulation
Exact transition probabilities in the three-state Landau-Zener-Coulomb model
arXiv
Authors: Jeffmin Lin, N A Sinitsyn
Year
2013
Paper ID
31224
Status
Preprint
Abstract Read
~2 min
Abstract Words
62
Citations
N/A
Abstract
We obtain the exact expression for the matrix of nonadiabatic transition probabilities in the model of three interacting states with a time-dependent Hamiltonian. Unlike other known solvable Landau-Zener-like problems, our solution is generally expressed in terms of hypergeometric functions that have relatively complex behavior, e.g. the obtained transition probabilities may show multiple oscillations as functions of parameters of the model Hamiltonian.
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- We obtain the exact expression for the matrix of nonadiabatic transition probabilities in the model of three interacting states with a time-dependent Hamiltonian.
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