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Some inequalities in the fidelity approach to phase transitions

N. S. TONCHEV1, J. G. BRANKOV2,3,*

Affiliation

  1. Institute of Solid State Physics, Bulgarian Academy of Science, 72 Tzarigradsko Chaussee Blvd., 1784 Sofia, Bulgaria
  2. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
  3. Institute of Mechanics, Bulgarian Academy of Sciences, 4 Acad. G. Bonchev St., 1113 Sofia, Bulgaria

Abstract

We present some aspects of the fidelity approach to phase transitions based on lower and upper bounds on the fidelity susceptibility that are expressed in terms of thermodynamic quantities. Both commutative and non commutative cases are considered. In the commutative case, in addition, a relation between the fidelity and the nonequilibrium work done on the system in a process from an equilibrium initial state to an equilibrium final state has been obtained by using the Jarzynski equality..

Keywords

Fidelity, fidelity susceptibility, phase transitions, Jarzynski equation.

Submitted at: Sept. 25, 2012
Accepted at: Feb. 20, 2013

Citation

N. S. TONCHEV, J. G. BRANKOV, Some inequalities in the fidelity approach to phase transitions, Journal of Optoelectronics and Advanced Materials Vol. 15, Iss. 1-2, pp. 73-76 (2013)