Some measures for fermionic entanglement in the cosmological de Sitter spacetime
arXiv:2006.14212 · doi:10.1103/PhysRevD.102.045017
Abstract
We investigate two measures of quantum correlations and entanglement, namely the violation of the Bell-Mermin-Klyshko inequalities and the quantum discord, for Dirac fermions in the cosmological de Sitter background of dimension four. The BMK violation is focussed on the vacuum for two and four mode squeezed states and it is shown to increase with the number of modes. For the quantum discord, we investigate a maximally entangled in-vacuum state. Qualitative similarities as well as differences of our results with that of different coordinatisations of de Sitter in the context of scalar and fermionic field theory is discussed.
arXiv commentv2, 21pp, 7 figures ; Added references and discussion, result unchanged ; Accepted in PRD
References in corpus (44)
- A computable measure of entanglement
- Introducing Quantum Discord
- On the volume of the set of mixed entangled states
- Necessary and sufficient condition for non-zero quantum discord
- Entanglement of Dirac fields in non-inertial frames
- Teleportation with a uniformly accelerated partner
- Computing quantum discord is NP-complete
- Bell inequality, Bell states and maximally entangled states for n qubits
- Maximal Violation of Bell's Inequalities for Continuous Variable Systems
- Unveiling quantum entanglement degradation near a Schwarzschild black hole
- Entanglement entropy in de Sitter space
- Quantum discord between relatively accelerated observers
- Quantum Discord of Cosmic Inflation: Can we Show that CMB Anisotropies are of Quantum-Mechanical Origin?
- Entanglement of Dirac fields in an expanding spacetime
- Quadratic Bell inequalities as tests for multipartite entanglement
- A model with cosmological Bell inequalities
- Quantum fisher information in noninertial frames
- Classical correlation and quantum discord sharing of Dirac fields in noninertial frames
- Entanglement Entropy of Cosmological Perturbations
- Bell violation in the Sky
- Irreversible degradation of quantum coherence under relativistic motion
- Residual entanglement of accelerated fermions is not nonlocal
- Quantum discord in de Sitter space
- Configuration of separability and tests for multipartite entanglement in Bell-type experiments
- Entangled de Sitter from Stringy Axionic Bell pair I: An analysis using Bunch Davies vacuum
- Classifying N-qubit Entanglement via Bell's Inequalities
- Infinite violation of Bell inequalities in inflation
- Vanishing Geometric Discord in Non-Inertial Frames
- The Quantum Information of Cosmological Correlations
- Massive scalar field evolution in de Sitter
- Quantum entanglement in de Sitter space with a wall, and the decoherence of bubble universes
- A note on initial state entanglement in inflationary cosmology
- Cosmic Decoherence: Massive Fields
- IR dynamics and entanglement entropy
- Retrieving the lost fermionic entanglement by partial measurement in noninertial frames
- Fermionic alpha-vacua
- Bell inequalities violation within non-Bunch-Davies states
- In search of an observational quantum signature of the primordial perturbations in slow-roll and ultra slow-roll inflation
- Background magnetic field and quantum correlations in the Schwinger effect
- Quantum discord in quantum computation
- Dirac fermion, cosmological event horizons and quantum entanglement
- Towards Searching for Entangled Photons in the CMB Sky
- Emergent -like fermionic vacuum structure and entanglement in the hyperbolic de Sitter spacetime
- Squeezing of primordial gravitational waves as quantum discord