| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Campinas, Inst Fis Gleb Watahgin, Campinas, SP - Brazil
[2] Univ Estadual Paulista, Fac Ciencias Bauru, Bauru, SP - Brazil
[3] Univ Sao Paulo, Inst Fis Sao Carlos, Sao Carlos, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Revista Brasileira de Ensino de Física; v. 35, n. 1 JAN-MAR 2013. |
| Web of Science Citations: | 7 |
| Abstract | |
We present a derivation of the Lindblad equation -an important tool for the treatment of nonunitary evolutions -that is accessible to undergraduate students in physics or mathematics with a basic background on quantum mechanics. We consider a specific case, corresponding to a very simple situation, where a primary system interacts with a bath of harmonic oscillators at zero temperature, with an interaction Hamiltonian that resembles the Jaynes-Cummings formato We start with the Born-Markov equation and, tracing out the bath degrees of freedom, we obtain an equation in the Lindblad formo The specific situation is very instructive, for it makes it easy to realize that the Lindblads represent the effect on the main system caused by the interaction with the bath, and that the Markov approximation is a fundamental condition for the emergence of the Lindbladian operator. The formal derivation of the Lindblad equation for a more general case requires the use of quantum dynamical semi-groups and broader considerations regarding the environment and temperature than we have considered in the particular case treated here. (AU) | |
| FAPESP's process: | 11/19848-4 - Influence of the quantum measurement time on quantum information related phenomena |
| Grantee: | Carlos Alexandre Brasil |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |