Quantum Mechanical Calculation of Mössbauer Transmission

Harris, Samuel M.

doi:10.1103/physrev.124.1178

Cited by 82 publications

(46 citation statements)

References 5 publications

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“…(2) is similar to the expression for the spatial wave function of the single-photon radiation field at the output of a thick absorber, which is derived within a quantum mechanical theory by Harris in Ref. [8] [see Eq. (40) in this reference].…”

Section: Photon Filtering Through a Resonant Absorbermentioning

confidence: 85%

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Radiation burst from a singleγ-photon field

2011

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The radiation burst from a single gamma-photon field interacting with a dense resonant absorber is studied theoretically and experimentally. This effect was discovered for the fist time by P. Helisto et al., Phys. Rev. Lett. 66, 2037Lett. 66, (1991 and it was named "gamma echo". The echo is generated by 180-degree phase shift of the incident radiation field, attained by an abrupt change of the position of the absorber with respect to the radiation source during the coherence time of the photon wave packet. Three distinguishing cases of "gamma echo" are considered, i.e., the photon is in exact resonance with the absorber, close to resonance (on the slope of the absorption line), and far from resonance (on the far wings of the resonance line). In resonance the amplitude of the radiation burst is two times larger than the amplitude of the input radiation field just before its phase shift. This burst was explained by P. Helisto et al. as a result of constructive interference of the coherently scattered field with the phase shifted input field, both having almost the same amplitude. We found that out of resonance the scattered radiation field acquires an additional component with almost the same amplitude as the amplitude of the incident radiation field. The phase of the additional field depends on the optical thickness of the absorber and resonant detuning.Far from resonance this field interferes destructively with the phase-shifted incident radiation field and radiation quenching is observed. Close to resonance three fields interfere constructively and the amplitude of the radiation burst is three times larger than the amplitude of the input radiation field.

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Section: Photon Filtering Through a Resonant Absorbermentioning

confidence: 85%

“…Therefore, the probability amplitude of the scattered radiation field is nonlinearly dependent on N, see Refs. [7,8], while the probability amplitude of the incoherent scattering in 4π angle is proportional only to N.…”

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confidence: 99%

Radiation burst from a singleγ-photon field

2011

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“…The propagation of a single photon in a thick absorber consisting of particles with the same resonant frequency ω 0 and the same lifetime of the excited state as in the emitter is described by [15,20,21] …”

Section: Spectrally Narrow and Broad Parts Of A Single Photon Emmentioning

confidence: 99%

“…The expression (5) was derived quantum mechanically by Harris [20], who considered threedimensional resonant multiple scattering of a gamma photon in the forward direction by nuclei residing in a solid without regular structure of their positions. The same expression, Eq.…”

Section: Spectrally Narrow and Broad Parts Of A Single Photon Emmentioning

confidence: 99%

“…Therefore, to describe the propagation of the spectrally broad part we neglect in the function A(ν) the coupling Ω, which produces the EIT hole and does not affect the wings of the absorption line. Then, the broad, nonadiabatic component of the photon probability amplitude, b 0 (l, τ ), is governed by the integral (17), or by the simplified expression (20). In both cases the output probability amplitude of the photon is the sum of the adiabatic (spectrally narrow) and non-adiabatic (spectrally broad) amplitudes…”

Section: Photon Filtering Through the Eit Windowmentioning

confidence: 99%

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Single photon emitted by a single particle in free-space vacuum modes and its resonant interaction with two- and three-level absorbers

2007

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We consider the time-delayed coincidence counting of two photons emitted in a cascade by a single particle (atom, molecule, nucleus, etc). The time-dependence of the probability amplitude of the second photon in the cascade has a sharply rising leading edge due to the detection of the first photon, as results from causality. If a macroscopic ensemble of resonant two-level absorbers is placed in the path of the second photon between the radiation source and the detector, the photon absorption does not follow Beer's law due to the time-asymmetric shape of the photon.For very short delay times almost no absorption takes place, even in an optically dense medium.We analyze the propagation of such a second photon in a thick resonant three-level absorber if a narrow electromagnetically induced transparency (EIT) window is present at the center of the absorption line. It is shown that the EIT medium can change the asymmetric time dependence of the photon probability amplitude to a bell shape (EIT filtering). This bell-shaped photon interacts much more efficiently with an other ensemble of two-level absorbers chosen, for example, to store this photon and the information it carries.

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Über einige Interferenzerscheinungen bei Quantenübergängen

Podgoreckij¹,

Chrustalev²

1964

Fortschr. Phys.

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Quantum Mechanical Calculation of Mössbauer Transmission

Cited by 82 publications

References 5 publications

Radiation burst from a singleγ-photon field

Radiation burst from a singleγ-photon field

Single photon emitted by a single particle in free-space vacuum modes and its resonant interaction with two- and three-level absorbers

Über einige Interferenzerscheinungen bei Quantenübergängen

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