Extended Bell´s Be-ables and Atenuattion × Amplification Competition. / Extensão dos Be-ables de Bell e Competição Atenuação x Amplificação

AUTOR(ES)
DATA DE PUBLICAÇÃO

2009

RESUMO

In the first part of this work we employ the Itô stochastic equation to extend Bells be-able interpretation of quantum mechanics to encompass dissipation, decoherence and quantum-to-classical transition through quantum trajectories. For a particular choice of the source of stochasticity, the one leading to a dissipative Lindblad type correction to the Hamiltonian dynamics, we verify that the diffusive term in Nelson´s formalism is naturally incorporated into Bohm´s one, rendering a unified Bohm-Nelson theory. Mainly, analyzing the intereference between quantum trajectories, we clearly identify the decoherence time, as estimated from the usual quantum formalism. We also observe the quantum-to-classical transition through the convergence of the infinite possible quantum trajectories to their associated classical counterparts. In the second part of this work we analyze the dynamical behavior of a quantum system under the actions of two counteracting baths: the inevitable energy draining reservoir and, oppositly, an enginereed Glauber amplifier feeding the system excitation. We trace the system dynamics towards equilibrium to mapp its distinct behaviors following from the attenuation × amplification interplay. The decoherence process emerging from the action of both counteracting baths is also computed and, finally, applications of such an attenuation × amplification competition is discussed. Finally, in the third part of this work we employ the mean field approximation to derive the master equation describing the process of superradiant emission under the presence of thermal fluctuation. We envisage to explore the possibility of observe stochastic resonance within the superradiant process.

ASSUNTO(S)

be-ables. open quantum systems. master equation. itô stochastic equation. be-ables. sistemas quânticos abertos. equações mestras. equação estocástica de itô.

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