The generalization of the concept of interaction-free evolutions (IFE) [Napoli, Phys. Rev. A 89, 062104 (2014)PLRAAN1050-294710.1103/PhysRevA.89.062104] to the case of time-dependent Hamiltonians is discussed. It turns out that the time-dependent case allows for much richer 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.
Chrus̈ciński, D., Messina, A., Militello, B., Napoli, A. (2015). Interaction-free evolution in the presence of time-dependent Hamiltonians. PHYSICAL REVIEW A, 91(4), 042123-1-042123-5 [10.1103/PhysRevA.91.042123].
Interaction-free evolution in the presence of time-dependent Hamiltonians
MESSINA, Antonino;MILITELLO, Benedetto;NAPOLI, Anna
2015-04-01
Abstract
The generalization of the concept of interaction-free evolutions (IFE) [Napoli, Phys. Rev. A 89, 062104 (2014)PLRAAN1050-294710.1103/PhysRevA.89.062104] to the case of time-dependent Hamiltonians is discussed. It turns out that the time-dependent case allows for much richer 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.
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