Holographic excited states in AdS black holes

Botta-Cantcheff, Marcelo; Martínez, Pedro J.; Silva, Guillermo

doi:10.1007/jhep04(2019)028

Cited by 28 publications

(84 citation statements)

References 67 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…As a final note, let us add that our description of coherent states is conventional from a QFT perspective. However, the usual discussions of coherent states in the context of the AdS/CFT correspondence focus on the Euclidean path integral preparation of these states by the introduction of sources in the boundary theory, e.g., [107][108][109]. Ultimately, we are considering the same states as in those constructions.…”

Section: Boundary Cft Coherent Statesmentioning

confidence: 99%

See 1 more Smart Citation

Aspects of the first law of complexity

Bernamonti¹,

Galli²,

Hernandez³

et al. 2020

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

We investigate the first law of complexity proposed in [1], i.e., the variation of complexity when the target state is perturbed, in more detail. Based on Nielsen's geometric approach to quantum circuit complexity, we find the variation only depends on the end of the optimal circuit. We apply the first law to gain new insights into the quantum circuits and complexity models underlying holographic complexity. In particular, we examine the variation of the holographic complexity for both the complexity=action and complexity=volume conjectures in perturbing the AdS vacuum with coherent state excitations of a free scalar field. We also examine the variations of circuit complexity produced by the same excitations for the free scalar field theory in a fixed AdS background. In this case, our work extends the existing treatment of Gaussian coherent states to properly include the time dependence of the complexity variation. We comment on the similarities and differences of the holographic and QFT results.

show abstract

Section: Boundary Cft Coherent Statesmentioning

confidence: 99%

“…Let us now discuss δV B 0 + V δX . Working at linear order in the variation, using the identity 109) and the variation of the induced metric…”

Section: Complexity=volumementioning

confidence: 99%

Aspects of the first law of complexity

Bernamonti¹,

Galli²,

Hernandez³

et al. 2020

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…One limitation of this approach was that it was well adapted to the computation of two-point functions, but it left implicit how to obtain higher point functions. Nevertheless, over the years, various authors have attempted to use this prescription for various applications [20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Open quantum systems and Schwinger-Keldysh holograms

Jana

Loganayagam

Rangamani

2020

J. High Energ. Phys.

171

View full text Add to dashboard Cite

We initiate the study of open quantum field theories using holographic methods. Specifically, we consider a quantum field theory (the system) coupled to a holographic field theory at finite temperature (the environment). We investigate the effects of integrating out the holographic environment with an aim of obtaining an effective dynamics for the resulting open quantum field theory. The influence functionals which enter this open effective action are determined by the real-time (Schwinger-Keldysh) correlation functions of the holographic thermal environment. To evaluate the latter, we exploit recent developments, wherein the semiclassical gravitational Schwinger-Keldysh saddle geometries were identified as complexified black hole spacetimes. We compute real-time correlation functions using holographic methods in these geometries, and argue that they lead to a sensible open effective quantum dynamics for the system in question, a question that hitherto had been left unanswered. In addition to shedding light on open quantum systems coupled to strongly correlated thermal environments, our results also provide a principled computation of Schwinger-Keldysh observables in gravity and holography. In particular, these influence functionals we compute capture both the dissipative physics of black hole quasinormal modes, as well as that of the fluctuations encoded in outgoing Hawking quanta, and interactions between them. We obtain results for these observables at leading order in a low frequency and momentum expansion in general dimensions, in addition to determining explicit results for two dimensional holographic CFT environments.

show abstract

“…Before moving on to numerically investigating the relationship between Euclidean sources and the localization of initial data, let us provide some brief comments on the evolution of the scalar field initial data in Lorentzian time. We refer the reader to [8][9][10] for more detailed discussions.…”

Section: Comments On Lorentzian Evolutionmentioning

confidence: 99%

Holographic CFT states for localized perturbations to AdS black holes

Chen

Raamsdonk

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

In this note, we describe a holographic CFT construction of states dual to scalar perturbations of the maximally extended three-dimensional AdS-Schwarzschild black hole. The states are constructed by adding sources for a scalar operator to the path integral that constructs the thermofield double state. For a scalar field of arbitrary mass, we provide the general map between sources and scalar field perturbations at linear order. With this, we investigate to what extent it is possible using this construction to produce perturbations localized to one side of the black hole horizon. Our results suggest that it is possible to produce arbitrarily localized perturbations (and thus, plausibly, general linear perturbations to the black hole initial data slice), but that the amplitude of the perturbation must be taken small as the perturbation becomes more localized in order that the sources do not diverge, as found for the pure AdS case considered in arXiv:1709.10101.1 Here, we take the path integral as being defined over S × I, where S is the spatial geometry on which the CFT lives and I is the half-line parameterized by Euclidean time τ ∈ (−∞, 0]. For the case where S is a sphere, we could alternatively perform a conformal transformation to compactify this space to a ball.

show abstract

Holographic excited states in AdS black holes

Cited by 28 publications

References 67 publications

Aspects of the first law of complexity

Aspects of the first law of complexity

Open quantum systems and Schwinger-Keldysh holograms

Holographic CFT states for localized perturbations to AdS black holes

Contact Info

Product

Resources

About