Thermo-Field Dynamics of Higher-Derivative Oscillators *

H Dimov, S Mladenov, R Rashkov, T Vetsov
2017 Bulg. J. Phys   unpublished
The higher-derivative oscillator proposed by Pais and Uhlenbeck has a well-defined Hamiltonian formulation in terms of a system of harmonic oscil-lators, which allows consistent quantum treatment. In this report we consider a system of interacting Pais-Uhlenbeck oscillators and calculate their entangle-ment 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.