Quantum adiabatic theorem in light of the Marzlin-Sanders inconsistency

@inproceedings{Ortigoso2012QuantumAT,
  title={Quantum adiabatic theorem in light of the Marzlin-Sanders inconsistency},
  author={Juan Ortigoso},
  year={2012}
}
A consensus that questions the perfunctory use of the quantum adiabatic theorem has emerged since Marzlin and Sanders [Phys. Rev. Lett. 93, 160408 (2004)] showed the existence of an inconsistency in the applicability of the theorem. Further analysis proved that the inconsistency may arise from the existence of resonant terms in the Hamiltonian, but recent work indicates that the debate about the full extent of the problem remains open. Here, we first show that key premises required in the… CONTINUE READING