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arXiv · 1211.2043

Entanglement signatures of phase transition in higher-derivative quantum field theories

Suman Ghosh·S. Shankaranarayanan
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Abstract

We show that the variation of the ground state entanglement in linear, higher spatial derivatives field theories at zero-temperature have signatures of phase transition. Around the critical point, when the dispersion relation changes from linear to non-linear, there is a fundamental change in the reduced density matrix leading to a change in the scaling of entanglement entropy. We suggest possible explanations involving both kinematical and dynamical effects. We discuss the implication of our work for 2-D condensed matter systems, black-hole entropy and models of quantum gravity.

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Suman Ghosh, S. Shankaranarayanan. 2012-11-09. Entanglement signatures of phase transition in higher-derivative quantum field theories. https://doi.org/10.1103/physrevd.86.125011

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