Volume 84, Number 3, November 2008
|Number of page(s)||5|
|Published online||28 October 2008|
Scaling of the von Neumann entropy across a finite-temperature phase transition
Dipartimento di Fisica “E.R. Caianiello" and Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM), Università di Salerno - I-84081, Baronissi (SA), Italy, EU
Corresponding author: firstname.lastname@example.org
Accepted: 24 September 2008
The spectrum of the reduced density matrix and the temperature dependence of the von Neumann entropy (VNE) are analytically obtained for a system of hard-core bosons on a complete graph which exhibits a phase transition to a Bose-Einstein condensate at T = Tc. It is demonstrated that the VNE undergoes a crossover from purely logarithmic at T = 0 to purely linear in block size n behaviour for T Tc. For intermediate temperatures, VNE is a sum of two contributions which are interpreted as the classical (Gibbs) and the quantum (due to entanglement) parts of the von Neumann entropy.
PACS: 03.67.Mn – Entanglement measures, witnesses, and other characterizations / 03.75.Gg – Entanglement and decoherence in Bose-Einstein condensates / 87.15.Zg – Phase transitions
© EPLA, 2008
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