Christian Brouder 2007 J. Phys. A: Math. Theor. 40 9455 doi:10.1088/1751-8113/40/31/020
Christian Brouder
Show affiliationsA 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.
35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
Issue 31 (3 August 2007)
Received 28 February 2007, in final form 11 June 2007
Published 19 July 2007
Christian Brouder 2007 J. Phys. A: Math. Theor. 40 9455
Silvio De Siena et al 2001 J. Phys. B: At. Mol. Opt. Phys. 34
J M Christian et al 2007 J. Phys. A: Math. Theor. 40 8601
C J Oliver 1978 J. Phys. D: Appl. Phys. 11 2499
D T Joss et al 2005 J. Phys. G: Nucl. Part. Phys. 31 S1715
Edward Malec and Niall Ó Murchadha 2004 Class. Quantum Grav. 21 5777
Li Jian-Bo et al 2009 Chinese Phys. Lett. 26 113202
Marc Freitag 2001 Class. Quantum Grav. 18 4033
Marcin Sawicki and David Thompson 2006 ApJ 642 653
O Akhavan et al 2009 J. Phys. D: Appl. Phys. 42 225305