Open quantum systems and SchwingerKeldysh 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 realtime (SchwingerKeldysh) correlation functions of the holographic thermal environment. To evaluate the latter, we exploit recent developments, wherein the semiclassical gravitational SchwingerKeldysh saddle geometries were identified as complexified black hole spacetimes. We compute realtime 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 SchwingerKeldysh 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 »
 Authors:

 Tata Inst. of Fundamental Research, Bangalore (India)
 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), 2227 Dec 2019; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdSCFT Correspondence; Black Holes; Thermal Field Theory
Citation Formats
Jana, Chandan, Loganayagam, R., and Rangamani, Mukund. Open quantum systems and SchwingerKeldysh 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 SchwingerKeldysh holograms. United States. https://doi.org/10.1007/jhep07(2020)242
Jana, Chandan, Loganayagam, R., and Rangamani, Mukund. Fri .
"Open quantum systems and SchwingerKeldysh 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 SchwingerKeldysh 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 realtime (SchwingerKeldysh) correlation functions of the holographic thermal environment. To evaluate the latter, we exploit recent developments, wherein the semiclassical gravitational SchwingerKeldysh saddle geometries were identified as complexified black hole spacetimes. We compute realtime 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 SchwingerKeldysh 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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