Precision of electromagnetic control of a quantum system

Journal Article · Thu Sep 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.032116· OSTI ID:22068637

Chan, Ching-Kit; Sham, L J ^[1]

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1. Department of Physics, Center for Advanced Nanoscience, University of California San Diego, La Jolla, California 92093-0319 (United States)

Coherent control of a quantum system is limited both by the decoherence due to environment and the quantum nature of the control agent. The high fidelity of control demanded by fault-tolerant quantum computation and the intrinsic interest in nonclassical effects from the interplay between control and dissipation are motivations for a detailed study of the interaction dynamics between the quantum system and the macroscopic environment and control agent. We present a detailed time-evolution study of a two-level system interacting with a laser pulse and the electromagnetic vacuum in the multimode Jaynes-Cummings model. A diagrammatic formalism allows easy identification of coherent dynamics and relaxation of the two-level system. We demonstrate a computational method of dynamics with precise error bounds for fast operations versus slow decoherence, spanning the Markovian and non-Markovian regimes. Comparison against an exact model solution of our results with existing approximations of the master equation shows the lack of accuracy in the latter.

• OSTI ID: 22068637
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ACCURACY
APPROXIMATIONS
ELECTROMAGNETIC FIELDS
ERRORS
LASERS
MARKOV PROCESS
MATHEMATICAL SOLUTIONS
PULSES
QUANTUM COMPUTERS
RELAXATION