Particle creation from vacuum by a homogeneous electric field in the canonical formalism

Grib, A. A.; Mostepanenko, V. M.; Фролов, В. М.

doi:10.1007/bf01036146

Cited by 25 publications

(34 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With the help of a complete orthornormal set of solutions of Eq. (7) found in Sec. II the operator of a quantized field of low-energy quasiparticles in graphene can be written in the form…”

Section: Ated Quasiparticlesmentioning

confidence: 57%

Creation of quasiparticles in graphene by a time-dependent electric field

Mostepanenko

2013

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We investigate the creation of massless quasiparticle pairs from the vacuum state in graphene by the space homogeneous time-dependent electric field. For this purpose the formalism of (2 þ 1)-dimensional quantum electrodynamics is applied to the case of a nonstationary background with arbitrary time dependence allowing the S-matrix formulation of the problem. The number of created pairs per unit of graphene area is expressed via the asymptotic solution at t ! 1 of the second-order differential equation of an oscillator-type with a complex frequency satisfying some initial conditions at t ! À1. The obtained results are applied to the electric field with specific dependence on time admitting the exact solution of the Dirac equation. The number of created pairs per unit area is calculated analytically in a wide variety of different regimes depending on the parameters of the electric field. The investigated earlier case of the static electric field is reproduced as a particular case of our formalism. It is shown that the creation rate in a time-dependent field is often larger than in a static field.

show abstract

“…With the help of a complete orthornormal set of solutions of Eq. (7) found in Sec. II the operator of a quantized field of low-energy quasiparticles in graphene can be written in the form…”

Section: Ated Quasiparticlesmentioning

confidence: 57%

Creation of quasiparticles in graphene by a time-dependent electric field

Mostepanenko

2013

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…A non-zero Bogolubov coefficient β would then imply that the in-vacuum state is not the same as the out-vacuum state. This in turn implies that the in-out transition amplitude is less than unity which can be attributed to the excitation of the modes of the quantum field by the electromagnetic background [8,9,10,11,12,13]. These excitations manifest themselves as real particles corresponding to the quantum field.…”

Section: Introductionmentioning

confidence: 99%

Does a nonzero tunneling probability imply particle production in time-independent classical electromagnetic backgrounds?

Sriramkumar

Padmanabhan

1996

Phys. Rev. D

View full text Add to dashboard Cite

In this paper, we probe the validity of the tunnelling interpretation that is usually called forth in literature to explain the phenomenon of particle production by time independent classical electromagnetic backgrounds. We show that the imaginary part of the effective lagrangian is zero for a complex scalar field quantized in a time independent, but otherwise arbitrary, magnetic field. This result implies that no pair creation takes place in such a background. But we find that when the quantum field is decomposed into its normal modes in the presence of a spatially confined and time independent magnetic field, there exists a non-zero tunnelling probability for the effective Schrödinger equation. According to the tunnelling interpretation, this result would imply that spatially confined magnetic fields can produce particles, thereby contradicting the result obtained from the effective lagrangian. This lack of consistency between these two approaches calls into question the validity of attributing a non-zero tunnelling probability for the effective Schrödinger equation to the production of particles by the time independent electromagnetic backgrounds. The implications of our analysis are discussed.

show abstract

“…However, for the numeric treatment, the dependence on the space coordinates still constitutes an important issue which is frequently avoided, although there exist already some first results including their effects [43,44]. Because of this, most of the studies developed in this research area consider the simplest model in which the background is a homogeneously distributed electric field oscillating in time [45][46][47][48][49][50][51].…”

Section: Quantum Kinetic Approachmentioning

confidence: 99%

Low-dimensional approach to pair production in an oscillating electric field: Application to bandgap graphene layers

et al. 2016

View full text Add to dashboard Cite

The production of particle-antiparticle pairs from the quantum field theoretic ground state in the presence of an external electric field is studied. Starting with the quantum kinetic BoltzmannVlasov equation in four-dimensional spacetime, we obtain the corresponding equations in lower dimensionalities by way of spatial compactification. Our outcomes in 2 + 1-dimensions are applied to bandgap graphene layers, where the charge carriers have the particular property of behaving like light massive Dirac fermions. We calculate the single-particle distribution function for the case of an electric field oscillating in time and show that the creation of particle-hole pairs in this condensed matter system closely resembles electron-positron pair production by the Schwinger effect.

show abstract

Particle creation from vacuum by a homogeneous electric field in the canonical formalism

Cited by 25 publications

References 6 publications

Creation of quasiparticles in graphene by a time-dependent electric field

Creation of quasiparticles in graphene by a time-dependent electric field

Does a nonzero tunneling probability imply particle production in time-independent classical electromagnetic backgrounds?

Low-dimensional approach to pair production in an oscillating electric field: Application to bandgap graphene layers

Contact Info

Product

Resources

About