| Issue |
EPL
Volume 109, Number 6, March 2015
|
|
|---|---|---|
| Article Number | 60002 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/109/60002 | |
| Published online | 23 March 2015 | |
Relative Rényi entropy and fidelity susceptibility
1 Department of Theoretical Physics, University of Debrecen - H-4010 Debrecen, Hungary
2 Instituto Carlos I de Física Teórica y Computacional and Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada - Fuentenueva s/n, 18071 Granada, Spain
Received: 8 January 2015
Accepted: 8 March 2015
It is shown that there is a linear relation between the relative Rényi entropy and the density functional fidelity susceptibility. The derivative of the relative Rényi entropy with respect to the Rényi parameter α is also proportional to the density functional fidelity susceptibility. The benefit of these relations is illustrated for the Dicke model (considering a numerical study and a variational analytical approximation). These relations are useful to detect the second-order QPT in this model.
PACS: 05.30.Rt – Quantum phase transitions / 89.70.Cf – Entropy and other measures of information
© EPLA, 2015
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