Energy minimization problem in two-level dissipative quantum control: meridian case

Abstract : We analyze the energy-minimizing problem for a two-level dissipative quantum system described by the Kossakowsky-Lindblad equation. According to the Pontryagin Maximum Principle (PMP), minimizers can be selected among normal and abnormal extremals whose dynamics are classified according to the values of the dissipation parameters. Our aim is to improve our previous analysis concerning 2D solutions in the case where the Hamiltonian dynamics are integrable.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01122070
Contributor : Open Archive Toulouse Archive Ouverte (oatao) <>
Submitted on : Tuesday, March 3, 2015 - 11:20:13 AM
Last modification on : Thursday, October 24, 2019 - 2:44:08 PM
Long-term archiving on : Thursday, June 4, 2015 - 10:45:23 AM

File

Bonnard_12315.pdf
Files produced by the author(s)

Identifiers

Citation

Bernard Bonnard, Olivier Cots, Nataliya Shcherbakova. Energy minimization problem in two-level dissipative quantum control: meridian case. Journal of Mathematical Sciences, Springer Verlag (Germany), 2013, vol. 195 (n° 3), pp. 311-335. ⟨10.1007/s10958-013-1582-4⟩. ⟨hal-01122070⟩

Share

Metrics

Record views

252

Files downloads

237