HAIT Journal of Science and Engineering
Volume 1, Issue 4, pp. 626-646
© 2004 Holon Academic Institute of Technology

 

Thermalized Liouville formalism applied to the onset and development of Rabi oscillations

Pierre G. Averbuch

Grenoble High Magnetic Field Laboratory, MPI and CNRS
BP 166, 38042 Grenoble, Cedex 9, France
e-mail: averbuch@grenoble.cnrs.fr
Received 10 December 2004, accepted 16 January 2005

 

To describe the oscillations of the excitation energy between a small system, such as a nucleus, and a thermal bath having an excitation energy roughly tuned to the small system, a formalism is proposed where the motion of the density matrix is described in a Liouville space, with a metric adapted to the temperature of the bath. The obtained equation of motion is characterized by a memory kernel. A second order approximation of the kernel gives the onset of the oscillations, but is not absolutely coherent. An approximate calculation of the kernel, where the phase evolution is ``motional-narrowed'', is proposed, giving an answer satisfying physical conditions. Its low temperature limit is evaluated


PACS: 03.65.Yz, 23.20.Nx, 33.40.+f, 42.50.Md

 

___________________
Presented at International Workshop Correlated Electrons at High Magnetic Fields. Ein-Gedi/Holon, Israel, 19-23 December 2004


Full text PDF (212 KB)