Bulg. J. Phys. vol.44 no.1 (2017), pp. 009-014

Thermo-Field Dynamics of Higher-Derivative Oscillators

H. Dimov1, S. Mladenov1, R.C. Rashkov1,2, T. Vetsov1
1Faculty of Physics, St. Kliment Ohridski University of Sofia, 5 J. Bourchier Blvd., 1164 Sofia, Bulgaria
2Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstr. 8--10, 1040 Vienna, Austria
Abstract. The higher-derivative oscillator proposed by Pais and Uhlenbeck has a well-defined Hamiltonian formulation in terms of a system of harmonic oscillators, which allows consistent quantum treatment. In this report we consider a system of interacting Pais-Uhlenbeck oscillators and calculate their entanglement entropy using the framework of thermo-field dynamics. We also make connection with information theory via the Fisher information metric and with the AdS/CFT correspondence via the supergravity solution of Pilch and Warner.

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