Two-photon synchrotron emission

Sokolov, A. A.; Voloshchenko, A. M.; Zhukovskii, V. Ch.; Pavlenko, Yu. G.

doi:10.1007/bf00891463

Cited by 6 publications

(14 citation statements)

References 2 publications

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“…In the limit ξ → 0, the amplitudes (26), (31) reduce to the one found in [2], where only one photon is absorbed from the laser. A discussion of this process can be found in standard textbooks [51], and was recently reexamined in [3].…”

Section: Comparison To Perturbative Double Compton Scatteringmentioning

confidence: 92%

“…The difference between the smooth curve in the circular case and the sawtooth shape of the linear curve can be traced back to the behavior of the generalized Bessel function and the usual Bessel function, constituting the amplitudes (26) and (31). For example, for the parameters shown in Fig.…”

Section: Comparison To Perturbative Double Compton Scatteringmentioning

confidence: 99%

“…The theory we apply in this section have been previously used extensively to characterize the final-state correlation in bound states transitions [56,57,58,59]. The idea is to use the information contained in the matrix elements (26), (31), to obtain an expression for the density matrix ρ f of the polarizations of the final system "electron+two photons". Given an expression for ρ f , it is then straightforward to calculate the concurrence [19], which is a measurement of how much the two photons are entangled.…”

Section: Angular Correlation and Entanglementmentioning

confidence: 99%

“…Probably the most well known process of this kind is double bremsstrahlung [21,22,23,24,25,26,27,28,29], but also photon pair creation in a magnetic field [30,31,32], and in a crossed field [33] has been considered. The process under investigation in this paper is complementary to those mentioned above, and may provide for better control of the properties of the produced photons by adjusting the laser parameters.…”

Section: Introductionmentioning

confidence: 99%

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Correlated two-photon emission by transitions of Dirac-Volkov states in intense laser fields: QED predictions

Lötstedt

Jentschura

2009

Phys. Rev. A

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In an intense laser field, an electron may decay by emitting a pair of photons. The two photons emitted during the process, which can be interpreted as a laser-dressed double Compton scattering, remain entangled in a quantifiable way: namely, the so-called concurrence of the photon polarizations gives a gauge-invariant measure of the correlation of the hard gamma rays. We calculate the differential rate and concurrence for a backscattering setup of the electron and photon beam, employing Volkov states and propagators for the electron lines, thus accounting nonperturbatively for the electron-laser interaction. The nonperturbative results are shown to differ significantly compared to those obtained from the usual double Compton scattering.

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Section: Comparison To Perturbative Double Compton Scatteringmentioning

confidence: 92%

Section: Comparison To Perturbative Double Compton Scatteringmentioning

confidence: 99%

Section: Angular Correlation and Entanglementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Correlated two-photon emission by transitions of Dirac-Volkov states in intense laser fields: QED predictions

Lötstedt

Jentschura

2009

Phys. Rev. A

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“…It coincides with that of the work (Voloshchenko et al, 1976). It should be noted that Sokolov et al (1976a),b) calculated two-photon synchrotron emission considering electron transitions between Landau levels by the help of the corresponding solutions of the Dirac equation. In the approximation accepted in the work (Voloshchenko et al, 1976) they derived corrections to equation 47of the order hdue to the quantum nature of the electron and due to its spin.…”

Section: Two-photon Radiationmentioning

confidence: 99%

Quantum states of an electromagnetic field interacting with a classical current and their applications to radiation problems

Багров¹,

Гитман²,

Shishmarev³

et al. 2020

J Synchrotron Radiat

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Synchrotron radiation was originally studied by classical methods using the Liénard–Wiechert potentials of electric currents. Subsequently, quantum corrections to the classical formulas were studied, considering the emission of photons arising from electronic transitions between spectral levels, described in terms of the Dirac equation. In this paper, an intermediate approach is considered, in which electric currents generating the radiation are considered classically while the quantum nature of the radiation is taken into account exactly. Such an approximate approach may be helpful in some cases; it allows one to study one-photon and multi-photon radiation without complicating calculations using corresponding solutions of the Dirac equation. Here, exact quantum states of an electromagnetic field interacting with classical currents are constructed and their properties studied. With their help, the probability of photon emission by classical currents is calculated and relatively simple formulas for one-photon and multi-photon radiation are obtained. Using the specific circular electric current, the corresponding synchrotron radiation is calculated. The relationship between the obtained results and those known before are discussed, for example with the Schott formula, with Schwinger calculations, with one-photon radiation of scalar particles due to transitions between Landau levels, and with some previous results of calculating two-photon synchrotron radiation.

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Measurements with a Single Electron in the IOTA Ring

Lobach

2022

Springer Theses

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Two-photon synchrotron emission

Cited by 6 publications

References 2 publications

Correlated two-photon emission by transitions of Dirac-Volkov states in intense laser fields: QED predictions

Correlated two-photon emission by transitions of Dirac-Volkov states in intense laser fields: QED predictions

Quantum states of an electromagnetic field interacting with a classical current and their applications to radiation problems

Measurements with a Single Electron in the IOTA Ring

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