Decoherence, dissipation and diffusion in quantum games

• Grant number: 16/15308-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2016
• End date: September 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Mickel Abreu de Ponte
• Grantee: Natália Andrade Bianchi
• Host Institution: Universidade Estadual Paulista (UNESP). Campus Experimental de Itapeva. Itapeva , SP, Brazil

Abstract

The project aims to develop and analyze quantum games in one (or more) quantum oscillator(s) in which we must study the effects of dissipation, decoherence, and diffusion. We must analyze the quantum game for various initial states of the quantum oscillator (initial state of the game): entangled superposition (or not) I) of Fock states and / or II) coherent states. To perform the actions of each player (representing the game strategies) will consider the interaction atom-field as in the Jaynes Cummings model. After developing the quantum game and its rules, we will study the effects of dissipation, decoherence and diffusion to the state of the field, forgetting the loss of coherence of the atomic state during the interaction of the atom with the field (which can be studied later). Studies realized in the article [1] about decoherence free subspaces and those that will be developed in the research project of the Guilherme student (process 2016 / 05643-5, recently approved by FAPESP) under my orientation, will assist us in developing quantum games within a free subspace of decoherence. (AU)