Transition Probability for Class of Two Level System Time Dependent Hamiltonians

Abstract

Transition probabilities for a class of two level systems described by explicitly time dependent Hamiltonians are considered. Provided only that the approach to the infinite time limit is non-trivial falling at least as fast as 1/t for large t, the transition probability takes a particularly simple form depending only on the value of Hamiltonian parameters in this limit.

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References in corpus (4)

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• Exactly solvable two-level quantum systems and Landau-Zener interferometry
• Exact solution for quantum dynamics of a periodically-driven two-level-system
• Coherent Excitation of a Two-Level Atom driven by a far off-resonant Classical Field: Analytical Solutions