Interaction-free evolution in the presence of time-dependent Hamiltonians

Abstract

The generalization of the concept of interaction-free evolutions (IFE) [A. Napoli, {\it et al.}, Phys. Rev. A {\bf 89}, 062104 (2014)] to the case of time-dependent Hamiltonians is discussed. It turns out that the time-dependent case allows for much more rich structures of interaction-free states and interaction-free subspaces. The general condition for the occurrence of IFE is found and exploited to analyze specific situations. Several examples are presented, each one associated to a class of Hamiltonians with specific features.

arXiv comment6 pahes, no figures

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Cited by in corpus (8)

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• Master equation approach to the three-state open Majorana model
• Resonant transitions due to changing boundaries
• Degenerate Landau-Zener model in the presence of quantum noise
• Synchronizing two superconducting qubits through a dissipating resonator