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Holographic open quantum systems: toy models and analytic properties of thermal correlators

Authors: Loganayagam, R; Rangamani, Mukund; Virrueta, Julio;

Holographic open quantum systems: toy models and analytic properties of thermal correlators

Abstract

Abstract We present a unified picture of open quantum systems, the theory of a system probing a noisy thermal environment, distilling lessons learnt from previous holographic analyses. Our treatment is applicable both when the system is coupled to short-lived (Markovian), and long-lived (non-Markovian) environmental degrees of freedom. The thermal environment is modeled using an asymptotically AdS black hole, and the systems of interest are simple probe field theories. The effective stochastic dynamics of the system is governed by real-time thermal correlators, which we compute using the gravitational Schwinger-Keldysh (grSK) geometry. We describe the structure of arbitrary tree-level contact and exchange Witten diagrams in the grSK geometry. In particular, we argue, that all such diagrams reduce to integrals supported on a single copy of the exterior of the black hole. The integrand is obtained as a multiple discontinuity of a function comprising ingoing boundary-bulk propagators, monodromy functions which appear as radial Boltzmann weights, and vertex factors. These results allow us to deduce the analytic structure of real-time thermal n-point functions in holographic CFTs. We illustrate the general statements by a two-dimensional toy model, dual to fields in the BTZ background, which we argue captures many of the essential features of generic open holographic QFTs.

Country
United States
Keywords

High Energy Physics - Theory, Open systems, reduced dynamics, master equations, decoherence, FOS: Physical sciences, QC770-798, General Relativity and Quantum Cosmology (gr-qc), AdS-CFT Correspondence, 530, Atomic, Mathematical Sciences, General Relativity and Quantum Cosmology, Particle and Plasma Physics, AdS-CFT correspondence, Nuclear and particle physics. Atomic energy. Radioactivity, Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.), Nuclear, Thermal Field Theory, Mathematical Physics, nonequilibrium field theory, Condensed Matter - Statistical Mechanics, Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), 500, Molecular, Particle and High Energy Physics, Nuclear & Particles Physics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Nuclear and plasma physics, thermal field theory, High Energy Physics - Theory (hep-th), Particle and high energy physics, Mathematical physics, Physical Sciences, Non-Equilibrium Field Theory, Thermal quantum field theory

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Top 10%
Average
Top 10%
Green
Published in a Diamond OA journal