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Geometry of adiabatic Hamiltonians for two-level quantum systems




TekijätLehto JMS, Suominen KA

KustantajaIOP Publishing LTD

Julkaisuvuosi2015

JournalJournal of Physics A: Mathematical and Theoretical

Tietokannassa oleva lehden nimiJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Lehden akronyymiJ Phys A-Math Theor

Artikkelin numeroARTN 235301

Vuosikerta48

Numero23

Sivujen määrä13

ISSN1751-8113

DOIhttps://doi.org/10.1088/1751-8113/48/23/235301


Tiivistelmä

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.




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