DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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. doi: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 = {Fri Jul 31 00:00:00 EDT 2020},
month = {Fri Jul 31 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 25 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Equilibrium and nonequilibrium formalisms made unified
journal, February 1985


Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies
journal, March 2016

  • Bzowski, Adam; McFadden, Paul; Skenderis, Kostas
  • Journal of High Energy Physics, Vol. 2016, Issue 3
  • DOI: 10.1007/JHEP03(2016)066

Quasinormal modes of AdS black holes and the approach to thermal equilibrium
journal, June 2000


Path integral approach to quantum Brownian motion
journal, September 1983

  • Caldeira, A. O.; Leggett, A. J.
  • Physica A: Statistical Mechanics and its Applications, Vol. 121, Issue 3
  • DOI: 10.1016/0378-4371(83)90013-4

From AdS/CFT correspondence to hydrodynamics
journal, September 2002


Schwinger-Keldysh formalism. Part I: BRST symmetries and superspace
journal, June 2017

  • Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2017, Issue 6
  • DOI: 10.1007/JHEP06(2017)069

Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
journal, September 2002


Ghostbusters: unitarity and causality of non-equilibrium effective field theories
journal, March 2020

  • Gao, Ping; Glorioso, Paolo; Liu, Hong
  • Journal of High Energy Physics, Vol. 2020, Issue 3
  • DOI: 10.1007/JHEP03(2020)040

Probing out-of-time-order correlators
journal, July 2019

  • Chaudhuri, Soumyadeep; Loganayagam, R.
  • Journal of High Energy Physics, Vol. 2019, Issue 7
  • DOI: 10.1007/JHEP07(2019)006

Statistical Dynamics of Classical Systems
journal, July 1973


Spectral representation of thermal OTO correlators
journal, February 2019

  • Chaudhuri, Soumyadeep; Chowdhury, Chandramouli; Loganayagam, R.
  • Journal of High Energy Physics, Vol. 2019, Issue 2
  • DOI: 10.1007/JHEP02(2019)018

Evaporation of large black holes in AdS: coupling to the evaporon
journal, August 2008


The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
journal, December 2019

  • Almheiri, Ahmed; Engelhardt, Netta; Marolf, Donald
  • Journal of High Energy Physics, Vol. 2019, Issue 12
  • DOI: 10.1007/JHEP12(2019)063

Real-time finite-temperature correlators from AdS/CFT
text, January 2010


Anti de Sitter space and holography
journal, January 1998


The Fluid/Gravity Correspondence
conference, March 2012

  • Minwalla, Shiraz; Hubeny, Veronika E.; Rangamani, Mukund
  • Proceedings of the 2010 Theoretical Advanced Study Institute in Elementary Particle Physics, String Theory and Its Applications
  • DOI: 10.1142/9789814350525_0014

Thermal out-of-time-order correlators, KMS relations, and spectral functions
journal, December 2017

  • Haehl, Felix M.; Loganayagam, R.; Narayan, Prithvi
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)154

Effects of a λ Φ 4 interaction on black-hole evaporation in two dimensions
journal, August 1983


Coarse grained quantum dynamics
journal, July 2018


Thermal noise and stochastic strings in AdS/CFT
journal, July 2009


Holographic Schwinger-Keldysh effective field theories
journal, May 2019

  • de Boer, Jan; Heller, Michal P.; Pinzani-Fokeeva, Natalia
  • Journal of High Energy Physics, Vol. 2019, Issue 5
  • DOI: 10.1007/JHEP05(2019)188

Schwinger-Keldysh propagators from AdS/CFT correspondence
journal, March 2003


Fluctuation, dissipation, and thermalization in nonequilibrium AdS 5 black hole geometries
journal, July 2011


Finite-temperature three-point function in 2D CFT
journal, September 2014

  • Becker, Melanie; Cabrera, Yaniel; Su, Ning
  • Journal of High Energy Physics, Vol. 2014, Issue 9
  • DOI: 10.1007/JHEP09(2014)157

Replica wormholes and the entropy of Hawking radiation
journal, May 2020

  • Almheiri, Ahmed; Hartman, Thomas; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2020, Issue 5
  • DOI: 10.1007/JHEP05(2020)013

Out of time ordered quantum dissipation
journal, July 2019

  • Chakrabarty, Bidisha; Chaudhuri, Soumyadeep; Loganayagam, R.
  • Journal of High Energy Physics, Vol. 2019, Issue 7
  • DOI: 10.1007/JHEP07(2019)102

Nonlinear Langevin dynamics via holography
journal, January 2020

  • Chakrabarty, Bidisha; Chakravarty, Joydeep; Chaudhuri, Soumyadeep
  • Journal of High Energy Physics, Vol. 2020, Issue 1
  • DOI: 10.1007/JHEP01(2020)165

Brownian motion in AdS/CFT
journal, July 2009


Real-time gauge/gravity duality: prescription, renormalization and examples
journal, May 2009


Keldysh field theory for driven open quantum systems
journal, August 2016


The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
text, January 2019


Integrating out geometry: holographic Wilsonian RG and the membrane paradigm
journal, August 2011

  • Faulkner, Thomas; Liu, Hong; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2011, Issue 8
  • DOI: 10.1007/JHEP08(2011)051

Real-time finite-temperature correlators from AdS/CFT
journal, July 2010


Deriving covariant holographic entanglement
journal, November 2016

  • Dong, Xi; Lewkowycz, Aitor; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)028

Real-Time Gauge/Gravity Duality
journal, August 2008


Action integrals and partition functions in quantum gravity
journal, May 1977


The gravity dual of real-time CFT at finite temperature
journal, November 2018

  • Botta-Cantcheff, Marcelo; Martínez, Pedro J.; Silva, Guillermo A.
  • Journal of High Energy Physics, Vol. 2018, Issue 11
  • DOI: 10.1007/JHEP11(2018)129

Absorption of photons and fermions by black holes in four dimensions
journal, December 1997


Semi-holographic Fermi liquids
journal, June 2011

  • Faulkner, Thomas; Polchinski, Joseph
  • Journal of High Energy Physics, Vol. 2011, Issue 6
  • DOI: 10.1007/JHEP06(2011)012

The theory of a general quantum system interacting with a linear dissipative system
journal, October 1963


Real-time gauge/gravity duality and ingoing boundary conditions
journal, July 2009


Decoherence, the measurement problem, and interpretations of quantum mechanics
journal, February 2005


Concepts and Methods in the Theory of Open Quantum Systems
book, January 2003