Optimal control of quantum lambda systems with an occupancy cost?
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We consider the problem of population transfer optimal control for a quantum Lambda system where the control couples pairwise only the lowest two energy levels to the highest level. The cost to be minimized expresses a compromise between minimizing the energy of the control and the average population in the highest level (occupancy), which is the one mostly subject to decay. Such a problem admits a group of symmetries, that is, a Lie group acting on the state space, which leaves dynamics, cost and initial and final conditions unchanged. By identifying a splitting of the tangent bundle into a vertical (tangent to the orbits) and horizontal (complementary) subspace at every point (a connection), we develop a symmetry reduction technique. In this setting, the problem reduces to a real problem on the sphere S2 for which we derive several properties and provide a practical method for the solution. We also describe an explicit numerical example. (c) 2024 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Optimal Control Of Quantum Systems, Symmetry Reduction, Variational Methods, Quantum Lambda Systems, Pontryagin Maximum Principle, Occupancy Cost, Reduction To The Real Case
Kaynak
Automatica
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
163
