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Title: Precision of electromagnetic control of a quantum system

Abstract

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.

Authors:
;  [1]
  1. Department of Physics, Center for Advanced Nanoscience, University of California San Diego, La Jolla, California 92093-0319 (United States)
Publication Date:
OSTI Identifier:
22068637
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Chan, Ching-Kit, and Sham, L. J. Precision of electromagnetic control of a quantum system. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.032116.
Chan, Ching-Kit, & Sham, L. J. Precision of electromagnetic control of a quantum system. United States. doi:10.1103/PHYSREVA.84.032116.
Chan, Ching-Kit, and Sham, L. J. Thu . "Precision of electromagnetic control of a quantum system". United States. doi:10.1103/PHYSREVA.84.032116.
@article{osti_22068637,
title = {Precision of electromagnetic control of a quantum system},
author = {Chan, Ching-Kit and Sham, L. J.},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.84.032116},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}