Schwinger effect and a uniformly accelerated observer

Abstract

This article investigates the Schwinger effect for fermions with background electric and magnetic fields of constant strengths from the point of view of a uniformly accelerated or the Rindler observer. The Dirac equation is solved in a closed form, and the field quantisation in the $(3+1)$-dimensional Rindler spacetime is performed. The orthonormal local in and out modes for the causally disconnected right and left wedges and the Bogoliubov relations between them are obtained. Next, the global modes are constructed to cover the whole spacetime, and the Bogoliubov relationship between the local and global operators is found. Using them the squeezed state expansion of the global vacuum in terms of local states is acquired and accordingly, the spectra of created particles is found. Clearly, there are two sources of particle creation in this scenario -- the Schwinger as well as the Unruh effects. Our chief aim is to investigate the role of the strength of the background electromagnetic fields on the spectra of created particles. We also discuss very briefly some possible implication of this result in the context of quantum entanglement.

arXiv comment19pp, 3figs

References in corpus (34)

• Quantum entanglement
• A computable measure of entanglement
• On the volume of the set of mixed entangled states
• The Unruh effect and its applications
• Entanglement monotones
• Alice falls into a black hole: Entanglement in non-inertial frames
• Entanglement of Dirac fields in non-inertial frames
• Characterizing Entanglement
• Teleportation with a uniformly accelerated partner
• A Primer for Black Hole Quantum Physics
• Entanglement of Dirac fields in an expanding spacetime
• Rényi generalization of the operational entanglement entropy
• Residual entanglement of accelerated fermions is not nonlocal
• Degradation of entanglement between two accelerated parties: Bell states under the Unruh effect
• Table-top creation of entangled multi-keV photon pairs via the Unruh effect
• Quantum Entanglement of Electromagnetic Fields in Non-inertial Reference Frames
• Experimental Observation of Acceleration-Induced Thermality
• Quantum charged fields in Rindler space
• Gauge-invariant Variables and Entanglement Entropy
• Generating entangled fermions by accelerated measurements on the vacuum
• Obstruction of black hole singularity by quantum field theory effects
• Quantum Back Reaction on a Classical Field
• Effect of acceleration on localized fermionic Gaussian states: from vacuum entanglement to maximally entangled states
• Entanglement Generation by Electric Field Background
• $\alpha$-Logarithmic negativity
• The Unruh thermal spectrum through scalar and fermion tunneling
• Fermions in the Rindler spacetime
• Entanglement of the Vacuum between Left, Right, Future, and Past: Dirac spinor in Rindler spaces and Kasner spaces
• Continuous-variable quantum teleportation with vacuum-entangled Rindler modes
• Schwinger Effect, Hawking Radiation, and Unruh Effect
• Background magnetic field and quantum correlations in the Schwinger effect
• Dirac fermion, cosmological event horizons and quantum entanglement
• Schwinger Effect, Hawking Radiation and Gauge-Gravity Relation
• Two-mode Gaussian quantum states measured by collinearly and noncollinearly accelerating observers

Cited by in corpus (6)

• Fermionic condensate and the mean energy-momentum tensor in the Fulling-Rindler vacuum
• Decoherence and entropy generation in an open quantum scalar-fermion system with Yukawa interaction
• Fermionic entanglement in the presence of background electric and magnetic fields
• Canonical Quantization of the U(1) Gauge Field in the right Rindler-wedge in the Rindler Coordinates
• Fermionic Casimir densities for a uniformly accelerating mirror in the Fulling-Rindler vacuum
• Canonical Quantization of the U(1) Gauge Field in the Rindler Coordinates