Quick search Find article
Quick search
Find article

Analytical solutions for two-level systems with damping

Christian Brouder

Show affiliations


A method is proposed to transform any analytic solution of the Bloch equation into an analytic solution of the Landau–Lifshitz–Gilbert equation. This allows for the analytical description of the dynamics of a two-level system with damping. This method shows that damping turns the linear Schrödinger equation of a two-level system into a nonlinear Schrödinger equation. As an application, the effect of damping on self-induced transparency is investigated.


PACS

03.65.Ge Solutions of wave equations: bound states

MSC

35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

Subjects

Quantum information and quantum mechanics

Dates

Issue 31 (3 August 2007)

Received 28 February 2007, in final form 11 June 2007

Published 19 July 2007



  1. Analytical solutions for two-level systems with damping

    Christian Brouder 2007 J. Phys. A: Math. Theor. 40 9455

  2. Editorial

    Silvio De Siena et al 2001 J. Phys. B: At. Mol. Opt. Phys. 34

  3. Helmholtz bright and boundary solitons

    J M Christian et al 2007 J. Phys. A: Math. Theor. 40 8601

  4. The measurement of optical spectra using a surface acoustic wave spectrum analyser

    C J Oliver 1978 J. Phys. D: Appl. Phys. 11 2499

  5. Yrast structures in the light Pt isotopes 169–173Pt

    D T Joss et al 2005 J. Phys. G: Nucl. Part. Phys. 31 S1715

  6. The Jang equation, apparent horizons and the Penrose inequality

    Edward Malec and Niall Ó Murchadha 2004 Class. Quantum Grav. 21 5777

  7. Population Swap of a Pair of Quantum Dots Coupling to a Plasmonic Nanocavity

    Li Jian-Bo et al 2009 Chinese Phys. Lett. 26 113202

  8. Monte Carlo cluster simulations to determine the rate of compact star inspiralling to a central galactic black hole

    Marc Freitag 2001 Class. Quantum Grav. 18 4033

  9. Keck Deep Fields. II. The Ultraviolet Galaxy Luminosity Function at z ~ 4, 3, and 2

    Marcin Sawicki and David Thompson 2006 ApJ 642 653

  10. Hydrothermal synthesis of ZnO nanorod arrays for photocatalytic inactivation of bacteria

    O Akhavan et al 2009 J. Phys. D: Appl. Phys. 42 225305

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.