Time-dependent Entanglement Entropy in Dissipative Conformal Theories: TFD Approach

In this work, the TFD formalism is explored in order to study a dissipative time-dependent thermal vacuum. This state is a consequence of a particular interaction between two theories, which can be interpreted as two conformal theories defined at the two asymptotic boundaries of an AdS black hole. T...

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Bibliographic Details
Published in:Brazilian journal of physics 2021-08, Vol.51 (4), p.1145-1158
Main Authors: Dias, M., Nedel, Daniel L., Senise Jr, C. R.
Format: Article
Language:English
Subjects:
Boundaries
Entangled states
Entanglement
Entropy
Equilibrium
Field theory
Nonequilibrium thermodynamics
Particles and Fields
Physics
Physics and Astronomy
Thermodynamic equilibrium
Time dependence
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Summary:In this work, the TFD formalism is explored in order to study a dissipative time-dependent thermal vacuum. This state is a consequence of a particular interaction between two theories, which can be interpreted as two conformal theories defined at the two asymptotic boundaries of an AdS black hole. The initial state is prepared to be the equilibrium TFD thermal vacuum. The interaction causes dissipation from the point of view of observers who measure observables in one of the boundaries. We show that the vacuum evolves as an entangled state at finite temperature and the dissipative dynamics is controlled by the time-dependent entropy operator, defined in the non-equilibrium TFD framework. We use lattice field theory techniques to calculate the non-equilibrium thermodynamic entropy and the finite temperature entanglement entropy. We show that both grow linearly with time.
ISSN:0103-9733
1678-4448
DOI:10.1007/s13538-021-00934-3