Semiclassical limit of finite quantum systems

• Grant number: 08/09491-9
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2009
• End date: February 28, 2013
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Marcus Aloizio Martinez de Aguiar
• Grantee: Thiago de Freitas Viscondi
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

Finite quantum systems play an important role in modeling problems where only few energy levels are relevant. Among these problems is the Bose-Einstein Condensate in a triple-well potential in the three-mode local approximation. We intend to study the semiclassical limit of finite systems using various methods, such as: path integrals, time dependent variational principle and coherent states. Also, we will analyze the behavior of these systems when coupled to the environment, with emphasis on decoherence and energy dissipation.

Scientific publications

(4)

(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)

VISCONDI, THIAGO F.; DE AGUIAR, MARCUS A. M.. Initial value representation for the SU(n) semiclassical propagator. Journal of Chemical Physics, v. 134, n. 23, JUN 21 2011. (09/11032-5, 08/09491-9)

GRIGOLO, ADRIANO; VISCONDI, THIAGO F.; DE AGUIAR, MARCUS A. M.. Multiconfigurational quantum propagation with trajectory-guided generalized coherent states. Journal of Chemical Physics, v. 144, n. 9, MAR 7 2016. (12/20452-0, 11/20065-4, 14/04036-2, 08/09491-9)

VISCONDI, THIAGO F.; DE AGUIAR, MARCUS A. M.. Semiclassical propagator for SU(n) coherent states. Journal of Mathematical Physics, v. 52, n. 5, MAY 2011. (09/11032-5, 08/09491-9)

VISCONDI, THIAGO F.; FURUYA, K.. Dynamics of a Bose-Einstein condensate in a symmetric triple-well trap. Journal of Physics A-Mathematical and Theoretical, v. 44, n. 17, APR 29 2011. (08/09491-9)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

VISCONDI, Thiago de Freitas. Semiclassical propagation in the coherent-state representation. 2013. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin Campinas, SP.