Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



SIGMA:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 050, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.050
(Mi sigma78)
 

This article is cited in 1 scientific paper (total in 1 paper)

Perturbative Treatment of the Evolution Operator Associated with Raman Couplings

Benedetto Militelloa, Paolo Aniellobc, Antonino Messinaa

a INFM, MIUR and Dipartimento di Scienze Fisiche ed Astronomiche dell'Università di Palermo, Via Archirafi, 36 - 90123 Palermo, Italy
b Dipartimento di Scienze Fisiche dell'Università di Napoli `Federico II' and INFN Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia - 80126 Napoli, Italy
c Dipartimento di Scienze Fisiche dell'Università di Napoli `Federico II' and INFN Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia - 80126 Napoli, Italy
Full-text PDF (234 kB) Citations (1)
References:
Abstract: A novel perturbative treatment of the time evolution operator of a quantum system is applied to the model describing a Raman-driven trapped ion in order to obtain a suitable “effective model”. It is shown that the associated effective Hamiltonian describes the system dynamics up to a certain transformation which may be interpreted as a “dynamical dressing” of the effective model.
Keywords: perturbation theory; time-dependent problems; Raman couplings.
Received: November 2, 2005; in final form April 13, 2006; Published online May 10, 2006
Bibliographic databases:
Document Type: Article
MSC: 81Q15; 81V10; 81V45
Language: English
Citation: Benedetto Militello, Paolo Aniello, Antonino Messina, “Perturbative Treatment of the Evolution Operator Associated with Raman Couplings”, SIGMA, 2 (2006), 050, 10 pp.
Citation in format AMSBIB
\Bibitem{MilAniMes06}
\by Benedetto Militello, Paolo Aniello, Antonino Messina
\paper Perturbative Treatment of the Evolution Operator Associated with Raman Couplings
\jour SIGMA
\yr 2006
\vol 2
\papernumber 050
\totalpages 10
\mathnet{http://mi.mathnet.ru/sigma78}
\crossref{https://doi.org/10.3842/SIGMA.2006.050}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2240723}
\zmath{https://zbmath.org/?q=an:1093.81027}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207065100049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889234720}
Linking options:
  • https://www.mathnet.ru/eng/sigma78
  • https://www.mathnet.ru/eng/sigma/v2/p50
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:839
    Full-text PDF :50
    References:39
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024