Thermodynamical property of entanglement entropy for excited states.

@article{Bhattacharya2013ThermodynamicalPO,
  title={Thermodynamical property of entanglement entropy for excited states.},
  author={Jyotirmoy Bhattacharya and Masahiro Nozaki and Toshinobu Takayanagi and Tomonori Ugajin},
  journal={Physical review letters},
  year={2013},
  volume={110 9},
  pages={
          091602
        }
}
We argue that the entanglement entropy for a very small subsystem obeys a property which is analogous to the first law of thermodynamics when we excite the system. In relativistic setups, its effective temperature is proportional to the inverse of the subsystem size. This provides a universal relationship between the energy and the amount of quantum information. We derive the results using holography and confirm them in two-dimensional field theories. We will also comment on an example with… CONTINUE READING

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