A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Geometry of adiabatic Hamiltonians for two-level quantum systems
Tekijät: Lehto JMS, Suominen KA
Kustantaja: IOP Publishing LTD
Julkaisuvuosi: 2015
Journal: Journal of Physics A: Mathematical and Theoretical
Tietokannassa oleva lehden nimi: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Lehden akronyymi: J Phys A-Math Theor
Artikkelin numero: ARTN 235301
Vuosikerta: 48
Numero: 23
Sivujen määrä: 13
ISSN: 1751-8113
DOI: https://doi.org/10.1088/1751-8113/48/23/235301
We present the formulation of the problem of the coherent dynamics of quantum mechanical two-level systems in the adiabatic region in terms of the differential geometry of plane curves. We show that there is a natural plane curve corresponding to the Hamiltonian of the system for which the geometrical quantities have a simple physical interpretation. In particular, the curvature of the curve has the role of the nonadiabatic coupling.