PIRSA:13030081 Scientific Series Quantum Fields and Strings

DOI10.48660/13030081

Series: Quantum Fields and Strings

Nozaki, M. (2013). Thermodynamical Property of Entanglement Entropy for Excited States and Holographic Local Quench. Perimeter Institute. https://pirsa.org/13030081

Nozaki, Masahiro. Thermodynamical Property of Entanglement Entropy for Excited States and Holographic Local Quench. Perimeter Institute, Mar. 05, 2013, https://pirsa.org/13030081 

@misc{ pirsa_PIRSA:13030081,
  doi = {10.48660/13030081},
  url = {https://pirsa.org/13030081},
  author = {Nozaki, Masahiro},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Thermodynamical Property of Entanglement Entropy for Excited States and Holographic Local Quench},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {mar},
  note = {PIRSA:13030081 see, \url{https://pirsa.org}}
}

Abstract

In this talk, we will describe our recent work.  Recently, we focus on the thermodynamical property and time dependence of entanglement entropy. Using holography, we found 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. Moreover, we will propose a new holographic model of local quench and describe some results which we got by using this model. This talk is based on arXiv:1212.1164 [hep-th] and arXiv:1302.5703 [hep-th].

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