Entanglement dynamics in presence of dissipative environments for non-Gaussian states and the Fermi-Pasta-Ulam problem

• Grant number: 14/00485-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: August 01, 2014
• End date: December 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Miled Hassan Youssef Moussa
• Grantee: Oscar Salomón Duarte Muñoz
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 15/12747-9 - Monitored control of quantum continuous variables in linear and non-linear regimes, BE.EP.PD

Abstract

The purpose of this project is to study the evolution of entanglement in continuous-variable systems interacting with a dissipative environment. We are going to use a set of different non-Gaussian states in order to represent the initial state of the system of interest. Particularly we will study the quantum evolution of the reduced density operator of cat states, fock states and superpositions of Gaussian wave packets. In order to observe the entanglement we are going to apply various separability criteria that have shown efficiency for non-Gaussian states. The free evolution will be studied in linear and non-linear regimes. For example, we are going to analyse the entanglement evolution in the Fermi-Pasta-Ulam problem in which a group of particles interact through non-harmonic potentials. Finally, the system will be coupled to a dissipative environment modeled, at the first stage, as an infinity set of harmonic oscillators but also we are interested in the influence on the system of interest of the number of the environment's degrees of freedom and the presence of non-harmonic terms that could generate non-Gaussian evolution. On the one hand the environment's role is understood between the usual view as the responsible for decoherence in quantum systems, but on the other hand we recognize the importance that it could have as a mediator of new correlations between subsystems.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DUARTE, O. S.; LUIZ, F. S.; MOUSSA, M. H. Y.. Linear response theory for a pseudo-Hermitian system-reservoir interaction. EPL, v. 121, n. 5, MAR 2018. (14/00485-7)

CASTRO, C. S.; DUARTE, O. S.; PIRES, D. P.; SOARES-PINTO, D. O.; REIS, M. S.. Thermal entanglement and teleportation in a dipolar interacting system. Physics Letters A, v. 380, n. 18-19, p. 1571-1576, APR 22 2016. (14/00485-7)