Laboratory implementation of quantum-control-mechanism identification through Hamiltonian encoding and observable decoding

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.063422· OSTI ID:21437931

Rey-de-Castro, R; Rabitz, H ^[1]

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1. Department of Chemistry, Princeton University, Princeton, New Jersey 08544 (United States)

We report on the laboratory implementation of quantum-control-mechanism identification through Hamiltonian encoding and observable decoding (HE-OD). Over a sequence of experiments, HE-OD introduces a special encoded signature into the components of a previously determined control field expressed in a chosen representation. The outcome appears as a modulated signal in the controlled system observable. Decoding the modulated signal identifies the hierarchy of correlations between components of the control field in a particular representation. In cases where the initial quantum state and observable operator are fully known, then HE-OD can also identify the transition amplitudes of the various Dyson expansion orders contributing to the controlled dynamics. The basic principles of HE-OD are illustrated for second harmonic generation when the components of the field representation are simply taken as the pixels in the pulse shaper. The outcome of HE-OD agrees well with simulations, verifying the concept.

• OSTI ID: 21437931
• Journal Information: Physical Review. A, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevA.81.063422; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
COMPUTERIZED SIMULATION
CONTROL
CONTROL SYSTEMS
CORRELATIONS
ENERGY LEVELS
HAMILTONIANS
HARMONIC GENERATION
QUANTUM MECHANICS
QUANTUM NUMBERS
TRANSITION AMPLITUDES
AMPLITUDES
FREQUENCY MIXING
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM OPERATORS
SIMULATION