Are there Traps in Quantum Control Landscapes?

Alexander N. Pechen and David J. Tannor
Phys. Rev. Lett. 106, 120402 – Published 22 March 2011
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Abstract

There has been great interest in recent years in quantum control landscapes. Given an objective J that depends on a control field ε the dynamical landscape is defined by the properties of the Hessian δ2J/δε2 at the critical points δJ/δε=0. We show that contrary to recent claims in the literature the dynamical control landscape can exhibit trapping behavior due to the existence of special critical points and illustrate this finding with an example of a 3-level Λ system. This observation can have profound implications for both theoretical and experimental quantum control studies.

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  • Received 1 February 2011

DOI:https://doi.org/10.1103/PhysRevLett.106.120402

© 2011 American Physical Society

Authors & Affiliations

Alexander N. Pechen* and David J. Tannor

  • Department of Chemical Physics, Weizmann Institute of Science, Rehovot 76100, Israel

  • *Present address: Steklov Mathematical Institute, Gubkina str. 8, Moscow, 119991, Russia.

Comments & Replies

Comment on “Are There Traps in Quantum Control Landscapes?”

Herschel Rabitz, Tak-San Ho, Ruixing Long, Rebing Wu, and Constantin Brif
Phys. Rev. Lett. 108, 198901 (2012)

Pechen and Tannor Reply:

Alexander N. Pechen and David J. Tannor
Phys. Rev. Lett. 108, 198902 (2012)

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Issue

Vol. 106, Iss. 12 — 25 March 2011

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