Entropic uncertainty and the quantum phase transition in the Dicke model

¹ Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada - Fuentenueva s/n, 18071 Granada, Spain, EU
² Departamento de Matemática Aplicada, Universidad de Granada - Fuentenueva s/n, 18071 Granada, Spain, EU
³ Department of Theoretical Physics, University of Debrecen - H-4010 Debrecen, Hungary, EU

^a eromera@ugr.es
^b calixto@ugr.es
^c anagy@phys.unideb.hu

Received: 1 October 2011
Accepted: 7 December 2011

Abstract

We show that the description of the quantum phase transition in terms of the entropic uncertainty relation turns out to be more suitable than in terms of the standard variance-based uncertainty relation. The entropic uncertainty relation detects the quantum phase transition in the Dicke model and it provides a correct description of the quantum fluctuations or quantum uncertainty of the system.