Saturation of the quantum null energy condition in far-from-equilibrium systems

@article{Ecker2017SaturationOT,
  title={Saturation of the quantum null energy condition in far-from-equilibrium systems},
  author={Christian Ecker and Daniel Grumiller and Wilke van der Schee and Philipp Stanzer},
  journal={Physical Review D},
  year={2017}
}
The quantum null energy condition (QNEC) is a new local energy condition that a general quantum field theory (QFT) is believed to satisfy, relating the classical null energy condition (NEC) to the second functional derivative of the entanglement entropy in the corresponding null direction. We present the first series of explicit computations of QNEC in a strongly coupled QFT, using holography. We consider the vacuum, thermal equilibrium, a homogeneous far-from-equilibrium quench as well as a… 

Figures from this paper

Bulk matter and the boundary quantum null energy condition

A bstractWe investigate the quantum null energy condition (QNEC) in holographic CFTs, focusing on half-spaces and particular classes of states. We present direct, and in certain cases

Quantum null energy condition and its (non)saturation in 2d CFTs

We consider the Quantum Null Energy Condition (QNEC) for holographic conformal field theories in two spacetime dimensions (CFT_22). We show that QNEC saturates for all states dual to vacuum solutions

Numerical Relativity, Holography and the Quantum Null Energy Condition

The quantum null energy condition (QNEC) is the only known consistent local energy condition in quantum theories. Contrary to the classical energy condition which are known to be violated in QFT,

Local Quantum Energy Conditions in Non-Lorentz-Invariant Quantum Field Theories.

It is proved that the first example of local quantum energy conditions in quantum field theories that are not Lorentz invariant saturate for states in the field theory that are dual to vacuum solutions of three-dimensional Einstein gravity with a vanishing cosmological constant.

Energy is Entanglement

We compute the local second variation of the von Neumann entropy of a region in theories with a gravity dual. For null variations our formula says that the diagonal part of the Quantum Null Energy

Entanglement Entropy from Numerical Holography

In this thesis I present numerical studies of entanglement entropy and the quantum null energy condition in strongly coupled far-from-equilibrium quantum states using holography. I give a careful

QNEC2 in deformed holographic CFTs

We use the quantum null energy condition in strongly coupled two-dimensional field theories (QNEC2) as diagnostic tool to study a variety of phase structures, including crossover, second and first

Energy density from second shape variations of the von Neumann entropy

We compute the local second variation of the von Neumann entropy of a region in theories with a gravity dual. For null variations our formula says that the diagonal part of the Quantum Null Energy

Can scale-dependent cosmology alleviate the H0 tension?

Scale-dependence is a common feature to all effective models of quantum gravity. In this paper, a cosmological model based on the scale-dependent scenario of gravity is presented. It is argued that

Holographic moving mirrors

Moving mirrors have been known as tractable setups modeling Hawking radiation from black holes. In this paper, motivated by recent developments regarding the black hole information problem, we

References

SHOWING 1-10 OF 64 REFERENCES

Proof of the Quantum Null Energy Condition

We prove the quantum null energy condition (QNEC), a lower bound on the stress tensor in terms of the second variation in a null direction of the entropy of a region. The QNEC arose previously as a

Holographic Proof of the Quantum Null Energy Condition

We use holography to prove the quantum null energy condition (QNEC) at leading order in large N for CFTs and relevant deformations of CFTs in Minkowski space which have Einstein gravity duals. Given

The quantum null energy condition in curved space

The quantum null energy condition (QNEC) is a conjectured bound on components (Tkk=Tabkakb) of the stress tensor along a null vector ka at a point p in terms of a second k-derivative of the von

Local modular Hamiltonians from the quantum null energy condition

The vacuum modular Hamiltonian $K$ of the Rindler wedge in any relativistic quantum field theory is given by the boost generator. Here we investigate the modular Hamiltoninan for more general

Absence of a local rest frame in far from equilibrium quantum matter

A bstractIn a collision of strongly coupled quantum matter we find that the dynamics of the collision produces regions where a local rest frame cannot be defined because the energy-momentum tensor

The quantum interest conjecture

Although quantum field theory allows local negative energy densities and fluxes, it also places severe restrictions upon the magnitude and extent of the negative energy. The restrictions take the

Corrigendum: The quantum null energy condition in curved space (2017 Class. Quantum Grav. 34 225012)

The quantum null energy condition (QNEC) is a conjectured bound on components ( T kk = T ab k a k b ) of the stress tensor along a null vector k a at a point p in terms of a second k -derivative of

Averaged null energy condition from causality

A bstractUnitary, Lorentz-invariant quantum field theories in flat spacetime obey mi-crocausality: commutators vanish at spacelike separation. For interacting theories in more than two dimensions, we

Lower Bound on the Energy Density in Classical and Quantum Field Theories.

A novel method for deriving energy conditions in stable field theories is described, and some extensions to higher dimensions are briefly discussed.

Averaged energy conditions for free scalar fields in flat spacetime.

  • Klinkhammer
  • Physics
    Physical review. D, Particles and fields
  • 1991
This paper shows that a quantized, free scalar field in Minkowski spacetime has the following properties: The weak energy condition is satisfied for a wide class of states when averaged along a complete null geodesic, but it can be violated when averaging along a nongeodesic curve.
...