Faster than Hermitian Quantum Mechanics

Simple item page
dc.creatorBender, Carl M.
dc.creatorBrody, Dorje C.
dc.creatorJones, Hugh F.
dc.creatorMeister, Bernhard K.
dc.date2006-09-05
dc.date.accessioned2026-07-07T10:26:40Z
dc.date.available2026-07-07T10:26:40Z
dc.descriptionGiven an initial quantum state |psi_I> and a final quantum state |psi_F> in a Hilbert space, there exist Hamiltonians H under which |psi_I> evolves into |psi_F>. Consider the following quantum brachistochrone problem: Subject to the constraint that the difference between the largest and smallest eigenvalues of H is held fixed, which H achieves this transformation in the least time tau? For Hermitian Hamiltonians tau has a nonzero lower bound. However, among non-Hermitian PT-symmetric Hamiltonians satisfying the same energy constraint, tau can be made arbitrarily small without violating the time-energy uncertainty principle. This is because for such Hamiltonians the path from |psi_I> to |psi_F> can be made short. The mechanism described here is similar to that in general relativity in which the distance between two space-time points can be made small if they are connected by a wormhole. This result may have applications in quantum computing.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0609032
dc.identifierhttp://arxiv.org/abs/quant-ph/0609032
dc.identifierPhys.Rev.Lett.98:040403,2007
dc.identifierdoi:10.1103/PhysRevLett.98.040403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176957
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleFaster than Hermitian Quantum Mechanics
dc.typetext

Files

Collections

arXiv