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Connectivity analysis of controlled quantum systems

Sola, Ignatio; Turinici, Gabriel; Rabitz, Herschel; Wu, Rong (2004), Connectivity analysis of controlled quantum systems, Physical Review. A, Atomic, Molecular and Optical Physics, 70, 5. http://dx.doi.org/10.1103/PhysRevA.70.052507

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connectivity_paper.pdf (307.6Kb)
Type
Article accepté pour publication ou publié
Date
2004
Journal name
Physical Review. A, Atomic, Molecular and Optical Physics
Volume
70
Number
5
Publisher
American Physical Society
Publication identifier
http://dx.doi.org/10.1103/PhysRevA.70.052507
Metadata
Show full item record
Author(s)
Sola, Ignatio
Turinici, Gabriel cc
Rabitz, Herschel
Wu, Rong
Abstract (EN)
A connectivity analysis of controlled quantum systems assesses the feasibility of a field existing that can transfer at least some amplitude between any specified pair of states. Although Hamiltonians with special structure or symmetry may not produce full connectivity, it is argued and demonstrated that virtually any Hamiltonian is expected to be connected. The connectivity of any particular system is generally revealed in the quantum evolution over a single or at most a few time steps. A connectivity analysis is inexpensive to perform and it can also identify statistically significant intermediate states linking a specified initial and final state. These points are illustrated with several simple systems. The likelihood of an arbitrary system being connected implies that at least some product yield can be expected in the laboratory for virtually all systems subjected to a suitable control.
Subjects / Keywords
quantum control theory; quantum systems

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