Journal article
Theory for the optimal control of time-averaged quantities in quantum systems
Publication Details
Authors: | Grigorenko, I.; Garcia, M.; Bennemann, K. |
Publisher: | AMERICAN PHYSICAL SOC |
Publication year: | 2002 |
Journal: | Physical Review Letters |
Pages range : | 1-4 |
Journal acronym: | PRL |
Volume number: | 89 |
Issue number: | 23 |
Number of pages: | 4 |
ISSN: | 0031-9007 |
eISSN: | 1079-7114 |
DOI-Link der Erstveröffentlichung: |
Abstract
We present a variational theory for the optimal control of quantum systems with relaxation over a finite time interval. In our approach, which is a nontrivial generalization of previous formulations and which contains them as limiting cases, the optimal control field fulfills a high-order Euler-Lagrange differential equation, which guarantees the uniqueness of the solution. We solve this equation numerically and also analytically for some limiting cases. The theory is applied to two-level quantum systems with relaxation, for which we determine quantitatively how relaxation effects limit the control of the system.
We present a variational theory for the optimal control of quantum systems with relaxation over a finite time interval. In our approach, which is a nontrivial generalization of previous formulations and which contains them as limiting cases, the optimal control field fulfills a high-order Euler-Lagrange differential equation, which guarantees the uniqueness of the solution. We solve this equation numerically and also analytically for some limiting cases. The theory is applied to two-level quantum systems with relaxation, for which we determine quantitatively how relaxation effects limit the control of the system.
