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Title: Open quantum systems and Schwinger-Keldysh holograms

Abstract

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 quasi- normal modes, as well as that of the fluctuations encoded in outgoing Hawking quanta, and interactions between them.more » 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.« less

Authors:
 [1];  [1];  [2]
  1. Tata Inst. of Fundamental Research, Bangalore (India)
  2. Univ. of California, Davis, CA (United States)
Publication Date:
Research Org.:
Univ. of California, Davis, CA (United States)
Sponsoring Org.:
USDOE; National Science Foundation (NSF)
OSTI Identifier:
1659664
Grant/Contract Number:  
SC0009999; NSF PHY1748958
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 7; Conference: National Strings Meeting 2019 (NSM2019), Madhya Pradesh (India), 22-27 Dec 2019; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Black Holes; Thermal Field Theory

Citation Formats

Jana, Chandan, Loganayagam, R., and Rangamani, Mukund. Open quantum systems and Schwinger-Keldysh holograms. United States: N. p., 2020. Web. https://doi.org/10.1007/jhep07(2020)242.
Jana, Chandan, Loganayagam, R., & Rangamani, Mukund. Open quantum systems and Schwinger-Keldysh holograms. United States. https://doi.org/10.1007/jhep07(2020)242
Jana, Chandan, Loganayagam, R., and Rangamani, Mukund. Fri . "Open quantum systems and Schwinger-Keldysh holograms". United States. https://doi.org/10.1007/jhep07(2020)242. https://www.osti.gov/servlets/purl/1659664.
@article{osti_1659664,
title = {Open quantum systems and Schwinger-Keldysh holograms},
author = {Jana, Chandan and Loganayagam, R. and Rangamani, Mukund},
abstractNote = {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 quasi- normal 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.},
doi = {10.1007/jhep07(2020)242},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2020,
place = {United States},
year = {2020},
month = {7}
}

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