X-Ray Quantum Optics With Mössbauer Nuclei In Thin-Film Cavities

Heeg, Kilian Peter; Evers, Jörg; Jäckel, Jörg

doi:10.11588/heidok.00017869

Cited by 1 publication

(8 citation statements)

References 234 publications

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“…20. We note that in the case of grazing incidence, the p and spolarization mode profiles have approximately identical magnitude [65,87].…”

Section: Formulasmentioning

confidence: 79%

“…As a result, the nuclear line shape can be rather complex for the general multi-mode multi-ensemble case. It is, however, well known that for certain cavity structures, the response reduces to a single Lorentzian interfering with the cavity background [23,87], giving rise to Fano line shapes [23,[88][89][90]. In the following, we use such cases to illustrate Eq.…”

Section: E Example: Fano Cavitiesmentioning

confidence: 99%

“…Another special case where the nuclear contribution is of single Lorentzian form arises when there is only a single mode and in addition the ω nuc,l of all nuclear ensembles are equal [23,87]. In this case, the index λ is absent, D reduces to a scalar, and W and g become column vectors with elements W m corresponding to the external channels and g l to the layers.…”

Section: Single Cavity Mode Uniform Nuclear Ensemblesmentioning

confidence: 99%

“…As a first step, we write Eq. ( 17) in terms of collective operators [87] Ĵ+/−/z l = n σ+/−/z ln , which gives…”

Section: F Effective Few-level Scheme Realized By the Nuclei In The C...mentioning

confidence: 99%

“…The phase factor e ik •r ,ln can be absorbed into an algebra preserving redefinition of the σ-operators in the effective one-dimensional Hamiltonian [87], amounting to a basis change that effects the nuclear dipole moment by a phase. The coupling is thus independent of the nuclear index n within one ensemble, such that we have…”

Section: Classical Wave Equation For the Layered Geometrymentioning

confidence: 99%

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Ab initio quantum models for thin-film x-ray cavity QED

Lentrodt,

Heeg,

Keitel

et al. 2020

Preprint

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We develop two ab initio quantum approaches to thin-film x-ray cavity quantum electrodynamics with spectrally narrow x-ray resonances, such as those provided by Mössbauer nuclei. The first method is based on a few-mode description of the cavity, and promotes and extends existing phenomenological few-mode models to an ab initio theory. The second approach uses analytically-known Green's functions to model the system. The two approaches not only enable one to ab initio derive the effective few-level scheme representing the cavity and the nuclei in the low-excitation regime, but also provide a direct avenue for studies at higher excitation, involving non-linear or quantum phenomena. The ab initio character of our approaches further enables direct optimizations of the cavity structure and thus of the photonic environment of the nuclei, to tailor the effective quantum optical level scheme towards particular applications. To illustrate the power of the ab initio approaches, we extend the established quantum optical modeling to resonant cavity layers of arbitrary thickness, which is essential to achieve quantitative agreement for cavities used in recent experiments. Further, we consider multi-layer cavities featuring electromagnetically induced transparency, derive their quantum optical few-level systems ab initio, and identify the origin of discrepancies in the modeling found previously using phenomenological approaches as arising from cavity field gradients across the resonant layers.

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“…20. We note that in the case of grazing incidence, the p and spolarization mode profiles have approximately identical magnitude [65,87].…”

Section: Formulasmentioning

confidence: 79%

Section: E Example: Fano Cavitiesmentioning

confidence: 99%

Section: Single Cavity Mode Uniform Nuclear Ensemblesmentioning

confidence: 99%

“…As a first step, we write Eq. ( 17) in terms of collective operators [87] Ĵ+/−/z l = n σ+/−/z ln , which gives…”

Section: F Effective Few-level Scheme Realized By the Nuclei In The C...mentioning

confidence: 99%

Section: Classical Wave Equation For the Layered Geometrymentioning

confidence: 99%

See 3 more Smart Citations

Ab initio quantum models for thin-film x-ray cavity QED

Lentrodt,

Heeg,

Keitel

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

X-Ray Quantum Optics With Mössbauer Nuclei In Thin-Film Cavities

Cited by 1 publication

References 234 publications

Ab initio quantum models for thin-film x-ray cavity QED

Ab initio quantum models for thin-film x-ray cavity QED

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