Are there Traps in Quantum Control Landscapes?

Journal Article · Fri Mar 25 00:00:00 EDT 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.106.120402· OSTI ID:21562114

Pechen, Alexander N; Tannor, David J ^[1]

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1. Department of Chemical Physics, Weizmann Institute of Science, Rehovot 76100 (Israel)

There has been great interest in recent years in quantum control landscapes. Given an objective J that depends on a control field {epsilon} the dynamical landscape is defined by the properties of the Hessian {delta}{sup 2}J/{delta}{epsilon}{sup 2} at the critical points {delta}J/{delta}{epsilon}=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 {Lambda} system. This observation can have profound implications for both theoretical and experimental quantum control studies.

• OSTI ID: 21562114
• Journal Information: Physical Review Letters, Vol. 106, Issue 12; Other Information: DOI: 10.1103/PhysRevLett.106.120402; (c) 2011 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONTROL
QUANTUM MECHANICS
TRAPPING
TRAPS
MECHANICS