Quantum dissipation and phenomenological approaches

A.K. CHATTAH; M.O. CÁCERES

CONDENSED MATTER PHYSICS

Institute of Condensed Matter Physics

Lugar: Ukrania; Año: 2000 vol. 3 p. 51 - 51

1607-324X

p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none">Using Terwiel’s cumulants the Markovian approximation to arrive to the Quantum Master Equation, for a system interacting with a thermal bath, is revisited. The second order weak coupling approximation is analyzed, then a Kossakowski-Lindblad form for the generator is written in terms of the position and momentum operators. A weak coupling approximation for the stochastic non-Markovian wave function is worked out. A free particle model interacting with a thermal quantum bath is studied in the context of Schr¨odinger-Langevin picture. A phenomenological point of view is introduced in order to overcome certain difficulties in the time evolution – in the second order approximation – for the free particle Hamiltonian.