Entanglement production in Einstein-Cartan theory
arXiv:2101.11567 · doi:10.1103/PhysRevD.104.043523
Abstract
We study the entanglement production for Dirac and Klein-Gordon fields in an expanding spacetime characterized by the presence of torsion. Torsion is here considered according to the Einstein-Cartan theory with a conformally flat Friedmann-Robertson-Walker spacetime. In this framework, torsion is seen as an external field, fulfilling precise constraints directly got from the cosmological constant principle. For Dirac field, we find that torsion increases the amount of entanglement. This turns out to be particularly evident for small values of particle momentum. We discuss the roles of Pauli exclusion principle in view of our results, and, in particular, we propose an interpretation of the two maxima that occur for the entanglement entropy in presence of torsion. For Klein-Gordon field, and differently from the Dirac case, the model can be exactly solved by adopting the same scale factor as in the Dirac case. Again, we show how torsion affects the amount of entanglement, providing a robust physical motivation behind the increase or decrease of entanglement entropy. A direct comparison of our findings is also discussed in view of previous results derived in absence of torsion. To this end, we give prominence on how our expectations would change in terms of the coupling between torsion and the scale factor for both Dirac and Klein-Gordon fields.
arXiv comment10 pages, 4 figures
References in corpus (60)
- Quantum entanglement
- Dynamics of dark energy
- The Cosmological Constant and Dark Energy
- f(R) Theories Of Gravity
- f(R) theories
- Cosmological Constant - the Weight of the Vacuum
- Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
- Dark Energy and the Accelerating Universe
- Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
- Quantum Computing
- Higgs mass and vacuum stability in the Standard Model at NNLO
- A History of Dark Matter
- Beyond the Cosmological Standard Model
- The Cosmic Triangle: Revealing the State of the Universe
- Dark Energy
- Modified Newtonian Dynamics as an Alternative to Dark Matter
- Physical Aspects of the Space-Time Torsion
- Entanglement-Assisted Classical Capacity of Noisy Quantum Channels
- Alice falls into a black hole: Entanglement in non-inertial frames
- A New Era in the Quest for Dark Matter
- Probing the dark energy: methods and strategies
- Entanglement of Dirac fields in non-inertial frames
- The State of the Dark Energy Equation of State
- Predictions from Quantum Cosmology
- Extended Gravity Cosmography
- Cosmography and constraints on the equation of state of the Universe in various parametrizations
- Cosmology with torsion: An alternative to cosmic inflation
- Conformal symmetry and accelerating cosmology in teleparallel gravity
- Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates
- On the theory and applications of modern cosmography
- Cosmology from large-scale structure: Constraining CDM with BOSS
- Quantum cosmology: a review
- How Dark Matter Came to Matter
- Fundamental quantum optics experiments conceivable with satellites -- reaching relativistic distances and velocities
- Entanglement in an expanding spacetime
- Modified-Source Gravity and Cosmological Structure Formation
- Entanglement of Dirac fields in an expanding spacetime
- Cosmological quantum entanglement
- Cosmological Constraints from Multiple Probes in the Dark Energy Survey
- Singularities in Inflationary Cosmology: A Review
- Spin and occupation number entanglement of Dirac fields for non-inertial observers
- Status of non-Riemannian cosmology
- Analogue of cosmological particle creation in an ion trap
- Extraction of timelike entanglement from the quantum vacuum
- Teleparallel theories of gravity as analogue of non-linear electrodynamics
- Lorentz transformations that entangle spins and entangle momenta
- Conformally invariant teleparallel theories of gravity
- Cosmological constraints on dark energy in light of gravitational wave bounds
- Speeding up Entanglement Degradation
- Spacetime and observer space symmetries in the language of Cartan geometry
- Spin-Particles Entanglement in Robertson-Walker Spacetime
- Inflation from fermions with curvature-dependent mass
- General cosmological perturbations in teleparallel gravity
- Torsion as a Dark Matter Candidate from the Higgs Portal
- Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
- Conformal Teleparallel Theories and Weyl Geometry
- On Relativistic Quantum Information Properties of Entangled Wave Vectors of Massive Fermions
- The role of spin in entanglement generated by expanding spacetime
- The cosmological principle in theories with torsion: The case of Einstein-Cartan-Dirac-Maxwell gravity
- Entanglement in anisotropic expanding spacetime