Holography of negative energy states

Rosso, Felipe

doi:10.1103/PhysRevD.99.026002

Title: Holography of negative energy states

Abstract

Quantum states with negative energy densities have been long known to exist in quantum field theories. We explore the structure of such states for holographic theories using quantum information theory tools and show how certain negative energy states are naturally captured by the thermodynamics of black holes with hyperbolic horizon at zero temperature, suggesting that they provide a dual description of those states. Our results give a satisfying field theory understanding of the distinct thermodynamics of such black holes.

Authors:: Rosso, Felipe

Publication Date:: 2019-01-03

Research Org.:: Univ. of Southern California, Los Angeles, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1489431

Alternate Identifier(s):: OSTI ID: 1611653

Grant/Contract Number:: SC0011687

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 2; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics; Conformal field theory; Entanglement in field theory; Quantum aspects of black holes; Quantum field theory

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                    Rosso, Felipe. Holography of negative energy states.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.026002.

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                    Rosso, Felipe. Holography of negative energy states.  United States.  https://doi.org/10.1103/PhysRevD.99.026002

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                    Rosso, Felipe. Thu .  
"Holography of negative energy states".  United States.  https://doi.org/10.1103/PhysRevD.99.026002.

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@article{osti_1489431,

  title        = {Holography of negative energy states},

  author       = {Rosso, Felipe},

  abstractNote = {Quantum states with negative energy densities have been long known to exist in quantum field theories. We explore the structure of such states for holographic theories using quantum information theory tools and show how certain negative energy states are naturally captured by the thermodynamics of black holes with hyperbolic horizon at zero temperature, suggesting that they provide a dual description of those states. Our results give a satisfying field theory understanding of the distinct thermodynamics of such black holes.},

  doi          = {10.1103/PhysRevD.99.026002},

  journal      = {Physical Review D},

  number       = 2,

  volume       = 99,

  place        = {United States},

  year         = {2019},

  month        = {1}

}

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Title: Holography of negative energy states

Abstract

Citation Formats

Topological censorship journal, September 1993

Gravitational Collapse and Space-Time Singularities journal, January 1965

Holographic heat engines, entanglement entropy, and renormalization group flow journal, December 2018

Spatially averaged quantum inequalities do not exist in four-dimensional spacetime journal, December 2002

Must time-machine construction violate the weak energy condition? journal, October 1993

Reduced density matrix and internal dynamics for multicomponent regions journal, September 2009

Holographic calculations of Rényi entropy journal, December 2011

Entanglement Hamiltonians in two-dimensional conformal field theory journal, December 2016

Gauss-Bonnet black holes in AdS spaces journal, March 2002

The role of relative entropy in quantum information theory journal, March 2002

The Einstein Tensor and Its Generalizations journal, March 1971

Anisotropic Unruh temperatures journal, November 2017

Towards a derivation of holographic entanglement entropy journal, May 2011

Geometric and renormalized entropy in conformal field theory journal, August 1994

Gauge theory correlators from non-critical string theory journal, May 1998

Anti-de-Sitter black hole thermodynamics in higher derivative gravity and new confining–deconfining phases in dual CFT journal, November 2001

Modular groups of quantum fields in thermal states journal, February 1999

Quantum focusing conjecture journal, March 2016

Nonpositivity of the energy density in quantized field theories journal, April 1965

Bare Quantum Null Energy Condition journal, February 2018

The large $N$ limit of superconformal field theories and supergravity journal, January 1998

Anti de Sitter space and holography journal, January 1998

Modular energy inequalities from relative entropy journal, January 2018

The averaged null energy condition for general quantum field theories in two dimensions journal, January 2000

The Singularities of Gravitational Collapse and Cosmology journal, January 1970

Corrigendum to: “Anti-de Sitter black hole thermodynamics in higher derivative gravity and new confining–deconfining phases in dual CFT” journal, August 2002

Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy journal, November 2014

Modular Hamiltonians for deformed half-spaces and the averaged null energy condition journal, September 2016

Null energy conditions in quantum field theory journal, February 2003

Wormholes, Time Machines, and the Weak Energy Condition journal, September 1988

A holographic description of negative energy states journal, September 2016

Warp drive with zero expansion journal, March 2002

On the duality condition for quantum fields journal, January 1976

Quantum Energy Inequalities in Two-Dimensional Conformal Field Theory journal, June 2005

Entanglement spectrum in one-dimensional systems journal, September 2008

Entanglement temperature and entanglement entropy of excited states journal, December 2013

Localization of Negative Energy and the Bekenstein Bound journal, November 2013

The warp drive: hyper-fast travel within general relativity journal, May 1994

Proving the achronal averaged null energy condition from the generalized second law journal, January 2010

Local temperatures and local terms in modular Hamiltonians journal, March 2017

Erratum: Null energy conditions in quantum field theory [Phys. Rev. D 67 , 044003 (2003)] journal, September 2009

AdS/CFT duals of topological black holes and the entropy of zero-energy states journal, June 1999

Topological Censorship[Phys. Rev. Lett. 71, 1486 (1993)] journal, August 1995

Topological censorship
journal, September 1993

Gravitational Collapse and Space-Time Singularities
journal, January 1965

Holographic heat engines, entanglement entropy, and renormalization group flow
journal, December 2018

Spatially averaged quantum inequalities do not exist in four-dimensional spacetime
journal, December 2002

Must time-machine construction violate the weak energy condition?
journal, October 1993

Reduced density matrix and internal dynamics for multicomponent regions
journal, September 2009

Holographic calculations of Rényi entropy
journal, December 2011

Entanglement Hamiltonians in two-dimensional conformal field theory
journal, December 2016

Gauss-Bonnet black holes in AdS spaces
journal, March 2002

The role of relative entropy in quantum information theory
journal, March 2002

The Einstein Tensor and Its Generalizations
journal, March 1971

Anisotropic Unruh temperatures
journal, November 2017

Towards a derivation of holographic entanglement entropy
journal, May 2011

Geometric and renormalized entropy in conformal field theory
journal, August 1994

Gauge theory correlators from non-critical string theory
journal, May 1998

Anti-de-Sitter black hole thermodynamics in higher derivative gravity and new confining–deconfining phases in dual CFT
journal, November 2001

Modular groups of quantum fields in thermal states
journal, February 1999

Quantum focusing conjecture
journal, March 2016

Nonpositivity of the energy density in quantized field theories
journal, April 1965

Bare Quantum Null Energy Condition
journal, February 2018

The large $N$ limit of superconformal field theories and supergravity
journal, January 1998

Anti de Sitter space and holography
journal, January 1998

Modular energy inequalities from relative entropy
journal, January 2018

The averaged null energy condition for general quantum field theories in two dimensions
journal, January 2000

The Singularities of Gravitational Collapse and Cosmology
journal, January 1970

Corrigendum to: “Anti-de Sitter black hole thermodynamics in higher derivative gravity and new confining–deconfining phases in dual CFT”
journal, August 2002

Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
journal, November 2014

Modular Hamiltonians for deformed half-spaces and the averaged null energy condition
journal, September 2016

Null energy conditions in quantum field theory
journal, February 2003

Wormholes, Time Machines, and the Weak Energy Condition
journal, September 1988

A holographic description of negative energy states
journal, September 2016

Warp drive with zero expansion
journal, March 2002

On the duality condition for quantum fields
journal, January 1976

Quantum Energy Inequalities in Two-Dimensional Conformal Field Theory
journal, June 2005

Entanglement spectrum in one-dimensional systems
journal, September 2008

Entanglement temperature and entanglement entropy of excited states
journal, December 2013

Localization of Negative Energy and the Bekenstein Bound
journal, November 2013

The warp drive: hyper-fast travel within general relativity
journal, May 1994

Proving the achronal averaged null energy condition from the generalized second law
journal, January 2010

Local temperatures and local terms in modular Hamiltonians
journal, March 2017

Erratum: Null energy conditions in quantum field theory [Phys. Rev. D 67 , 044003 (2003)]
journal, September 2009

AdS/CFT duals of topological black holes and the entropy of zero-energy states
journal, June 1999

Topological Censorship[Phys. Rev. Lett. 71, 1486 (1993)]
journal, August 1995