Role of the effective Hilbert-space size of the reservoir for the decoherence process.
We show that an environment composed by N bosons coupled through cross-Kerr interaction to an oscillator of interest can be effective at destroying quantum coherences at short times and around the revival times even if N=1 . It is analytically shown for this model that the effective Hilbert-space size is a relevant parameter for decoherence process. Based on numerical results, we investigate the long time dynamics and the classical limit. Since we are dealing with a phase reservoir, the model does not describe dissipation.
Campus Alto Paraopeba, Universidade Federal de São João Del Rei, CP 131, Ouro Branco 36420-000, MG, Brazil. adelcio@ufsj.edu.br
Adélcio C
AC
Oliveira
A R Bosco
AR
de Magalhães