Geometry of an adiabatic passage at a level crossing

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dc.creatorCholascinski, Mateusz
dc.date2005-02-21
dc.date2005-06-23
dc.date.accessioned2026-07-07T06:12:12Z
dc.date.available2026-07-07T06:12:12Z
dc.descriptionWe discuss adiabatic quantum phenomena at a level crossing. Given a path in the parameter space which passes through a degeneracy point, we find a criterion which determines whether the adiabaticity condition can be satisfied. For paths that can be traversed adiabatically we also derive a differential equation which specifies the time dependence of the system parameters, for which transitions between distinct energy levels can be neglected. We also generalize the well-known geometric connections to the case of adiabatic paths containing arbitrarily many level-crossing points and degenerate levels.
dc.description7 pages, 6 figures, RevTeX4, changes requested by Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/quant-ph/0502128
dc.identifierhttp://arxiv.org/abs/quant-ph/0502128
dc.identifierPhys. Rev. A 71, 063409 (2005)
dc.identifierdoi:10.1103/PhysRevA.71.063409
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92715
dc.subjectQuantum Physics
dc.subjectOther Condensed Matter
dc.titleGeometry of an adiabatic passage at a level crossing
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