The quantum brachistochrone problem for non-Hermitian Hamiltonians

Simple item page
dc.creatorAssis, Paulo E. G.
dc.creatorFring, Andreas
dc.date2007-03-27
dc.date2007-10-04
dc.date.accessioned2026-07-07T11:44:36Z
dc.date.available2026-07-07T11:44:36Z
dc.descriptionRecently Bender, Brody, Jones and Meister found that in the quantum brachistochrone problem the passage time needed for the evolution of certain initial states into specified final states can be made arbitrarily small, when the time-evolution operator is taken to be non-Hermitian but PT-symmetric. Here we demonstrate that such phenomena can also be obtained for non-Hermitian Hamiltonians for which PT-symmetry is completely broken, i.e. dissipative systems. We observe that the effect of a tunable passage time can be achieved by projecting between orthogonal eigenstates by means of a time-evolution operator associated to a non-Hermitian Hamiltonian. It is not essential that this Hamiltonian is PT-symmetric.
dc.description7 pages Latex, 2 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0703254
dc.identifierhttp://arxiv.org/abs/quant-ph/0703254
dc.identifierJ.Phys.A41:244002,2008
dc.identifierdoi:10.1088/1751-8113/41/24/244002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201659
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleThe quantum brachistochrone problem for non-Hermitian Hamiltonians
dc.typetext

Files

Collections

arXiv