Holographic entanglement chemistry
@article{Cceres2017HolographicEC, title={Holographic entanglement chemistry}, author={Elena C{\'a}ceres and Phuc H. Nguyen and Juan F. Pedraza}, journal={Physical Review D}, year={2017}, volume={95}, pages={106015} }
We use the Iyer-Wald formalism to derive an extended first law of entanglement that includes variations in the cosmological constant, Newton's constant and - in the case of higher-derivative theories - all the additional couplings of the theory. In Einstein gravity, where the number of degrees of freedom N2 of the dual field theory is a function of Λ and G, our approach allows us to vary N by keeping the field theory scale fixed or to vary the field theory scale by keeping N fixed. We also…
30 Citations
Quantum information probes of charge fractionalization
- Physics
- 2021
We study in detail various information theoretic quantities with the intent of distinguishing between different charged sectors in fractionalized states of gauge theories. For concreteness, we focus…
Holographic thermodynamics requires a chemical potential for color
- PhysicsPhysical Review D
- 2022
The thermodynamic Euler equation for high-energy states of large-N gauge theories is derived from the dependence of the extensive quantities on the number of colors N . This Euler equation relates…
Quantum information probes of charge fractionalization in large-N gauge theories
- Physics
- 2021
We study in detail various information theoretic quantities with the intent of distinguishing between different charged sectors in fractionalized states of large-$N$ gauge theories. For concreteness,…
Emergent gravity in a holographic universe
- Physics
- 2019
This dissertation investigates thermodynamic, emergent and holographic aspects of gravity in the context of causal diamonds. We obtain a gravitational first law for causal diamonds in maximally…
Connecting Fisher information to bulk entanglement in holography
- PhysicsJournal of High Energy Physics
- 2018
A bstractIn the context of relating AdS/CFT to quantum information theory, we propose a holographic dual of Fisher information metric for mixed states in the boundary field theory. This amounts to a…
Holographic entanglement density for spontaneous symmetry breaking
- Physics
- 2022
We investigate the properties of the holographic entanglement entropy of the systems in which the U(1) or the translational symmetry is broken spontaneously. For this purpose, we define the…
Quantum bit threads and holographic entanglement
- PhysicsJournal of High Energy Physics
- 2022
A novel dual prescription for the generalized entropy is derived that allows the leading quantum corrections in a geometric way with minimal input from the bulk state, and it is shown that the consistency of this special solution requires the semi-classical Einstein’s equations to hold for any consistent perturbative bulk quantum state.
Black holes in Einsteinian cubic gravity
- Physics
- 2017
Using numerical and perturbative methods, we construct the first examples of black hole solutions in Einsteinian cubic gravity and study their thermodynamics. Focusing first on four-dimensional…
On the first law of entanglement for Quasi-Topological gravity
- PhysicsGeneral Relativity and Gravitation
- 2018
The first law of entanglement has been used to obtain the linearized Einstein equations of the holographic dual spacetimes. In the present paper, the first law of entanglement in Quasi-Topological…
Holographic entanglement entropy and Van der Waals transitions in Einstein-Maxwell-dilaton theory
- PhysicsPhysical Review D
- 2019
According to the gauge/gravity duality, the Van der Waals transition of charged AdS black holes in extended phase space is conjectured to be dual to a renormalization group flow on the space of field…
References
SHOWING 1-10 OF 119 REFERENCES
Holographic entanglement entropy in Lovelock gravities
- Physics
- 2011
We study entanglement entropies of simply connected surfaces in field theories dual to Lovelock gravities. We consider Gauss-Bonnet and cubic Lovelock gravities in detail. In the conformal case the…
Entanglement entropy in higher derivative holography
- Physics
- 2013
A bstractWe consider holographic entanglement entropy in higher derivative gravity theories. Recently Lewkowycz and Maldacena [1] have provided a method to derive the equations for the entangling…
Holographic entanglement entropy for general higher derivative gravity
- Geology
- 2014
A bstractWe propose a general formula for calculating the entanglement entropy in theories dual to higher derivative gravity where the Lagrangian is a contraction of Riemann tensors. Our formula…
Gravitational dynamics from entanglement “thermodynamics”
- Physics
- 2014
A bstractIn a general conformal field theory, perturbations to the vacuum state obey the relation δS = δE, where δS is the change in entanglement entropy of an arbitrary ball-shaped region, and δE is…
Entanglement Renormalization and Holography
- Physics
- 2012
We show how recent progress in real space renormalization group methods can be used to define a generalized notion of holography inspired by holographic dualities in quantum gravity. The…
Chemical potential in the first law for holographic entanglement entropy
- Physics
- 2014
A bstractEntanglement entropy in conformal field theories is known to satisfy a first law. For spherical entangling surfaces, this has been shown to follow via the AdS/CFT correspondence and the…
On holographic entanglement entropy and higher curvature gravity
- Physics
- 2011
We examine holographic entanglement entropy with higher curvature gravity in the bulk. We show that in general Wald’s formula for horizon entropy does not yield the correct entanglement entropy.…
Gravitation from entanglement in holographic CFTs
- Physics
- 2014
A bstractEntanglement entropy obeys a ‘first law’, an exact quantum generalization of the ordinary first law of thermodynamics. In any CFT with a semiclassical holographic dual, this first law has an…
Comments on quantum gravity and entanglement
- Physics
- 2009
In this note, we attempt to provide some insights into the structure of nonperturbative descriptions of quantum gravity using known examples of gaugetheory / gravity duality. We argue that in…
Holographic entanglement entropy and the extended phase structure of STU black holes
- Physics
- 2015
A bstractWe study the extended thermodynamics, obtained by considering the cosmological constant as a thermodynamic variable, of STU black holes in 4-dimensions in the fixed charge ensemble. The…