Thermodynamical Property of Entanglement Entropy for Excited States
Jyotirmoy Bhattacharya,Masahiro Nozaki,Tadashi Takayanagi,Tadashi Takayanagi,Tomonori Ugajin,Tomonori Ugajin +5 more
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It is argued that the entanglement entropy for a very small subsystem obeys a property which is analogous to the first law of thermodynamics when the authors excite the system, and this provides a universal relationship between the energy and the amount of quantum information.Abstract:
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 negative specific heat and suggest a connection between the second law of thermodynamics and the strong subadditivity of entanglement entropy.read more
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Gravitation from entanglement in holographic CFTs
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Relative entropy and holography
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Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
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References
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Shinsei Ryu,Tadashi Takayanagi +1 more
TL;DR: It is argued that the entanglement entropy in d + 1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS(d+2), analogous to the Bekenstein-Hawking formula for black hole entropy.
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Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity
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Pasquale Calabrese,John Cardy +1 more
TL;DR: In this article, a systematic study of entanglement entropy in relativistic quantum field theory is carried out, where the von Neumann entropy is defined as the reduced density matrix ρA of a subsystem A of a 1+1-dimensional critical system, whose continuum limit is a conformal field theory with central charge c, and the results are verified for a free massive field theory.
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Vijay Balasubramanian,Per Kraus +1 more
TL;DR: In this paper, the boundary stress tensor associated with a gravitating system in asymptotically anti-de Sitter space is computed, and the conformal anomalies in two and four dimensions are recovered.
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