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Entangled Brownian particles

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Author(s):
Daniel Mendonça Valente
Total Authors: 1
Document type: Master's Dissertation
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin
Defense date:
Examining board members:
Amir Ordacgi Caldeira; Marcus Aloizio Martinez de Aguiar; Miled Hassan Youssef Moussa
Advisor: Amir Ordacgi Caldeira
Abstract

This work consists in a study of entanglement in open quantum systems, within the brownian particles model. The interest comes from the possibility of understanding the mechanisms that lead the environment to create or to keep entanglement between quantum systems and not only make them lose energy or coherence. We start by making a review of the meaning of entanglement to quantum mechanics and some ways to quantify it. Then, we study the literature of open quantum systems for one particle, specially the quantum brownian motion. Moreover, it has been possible to calculate the entanglement between the quantum brownian particle and its reservoir. At a second stage, we studied the model of two brownian particles in a common bath. This model permits not only the introduction of a time scale but also of a lenth one. An effective potential between the particles emerges in the model as a consequence of our assumptions. In the absence of an external potential, the system's translational invariance is preserved. The last step was to achieve what became our main result. We have calculated the equilibrium density matrix for the two brownian particles and the entanglement between them (AU)

FAPESP's process: 07/06148-9 - Entangled Brownian particles
Grantee:Daniel Mendonça Valente
Support Opportunities: Scholarships in Brazil - Master