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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.