Continuous monitoring of dynamical systems and master equations

Luciana de Fátima Lopes Oliveira (1) , Romeu Rossi Jr. (2) , Arthur Rodrigo Bosco de Magalhães (3) , José Geraldo Peixoto de Faria (3) , M.C. Nemes (4)

1 PPGMMC
2 UFV - Campus Florestal
3 DFM
4 ICEx - Departamento de Física

We illustrate the equivalence between the non-unitary evolution of an open quantum system governed by a Markovian master equation and a process of continuous measurements involving this system. We investigate a system of two coupled modes, only one of them interacting with external degrees of freedom, represented, in the first case, by a finite number of harmonic oscillators, and, in the second, by a sequence of atoms where each one interacts with a single mode during a limited time. Two distinct regimes appear, one of them corresponding to a Zeno-like behavior in the limit of large dissipation.

Mots clés: Open quantum systems; quantum master equations; quantum Zeno effect; quantum measurement theory

Domaines: Physique Quantique [quant-ph]

Luciana de Fátima Lopes Oliveira, Romeu Rossi Jr., Arthur Rodrigo Bosco de Magalhães, José Geraldo Peixoto de Faria, M.C. Nemes. Continuous monitoring of dynamical systems and master equations. Physics Letters A, 2012, 376 (22), pp.1786. ⟨10.1016/j.physleta.2012.04.017⟩. ⟨hal-00694820⟩