6533b82cfe1ef96bd12900f4

RESEARCH PRODUCT

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

Benedetto MilitelloDariusz ChruścińskiAnna NapoliAntonino Messina

subject

PhysicsPure mathematicsClass (set theory)Quantum PhysicsMeasurement theoryFree evolutionGeneralizationFOS: Physical sciencesQuantum Physics (quant-ph)Light and Matter Interaction Few-Level systems Adiabatic evolutionsLinear subspaceSettore FIS/03 - Fisica Della MateriaAtomic and Molecular Physics and Optics

description

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.

10.1103/physreva.91.042123http://arxiv.org/abs/1502.06391