Abstract
Thin-film cavities containing layers of M\"ossbauer nuclei have been demonstrated to be a rich platform for x-ray quantum optics. At low excitation, these systems can be described by effective few-level schemes, thereby providing tunable artificial quantum systems at hard x-ray energies. With the recent advent of an ab initio theory, a numerically efficient description of these systems is now possible. On this basis, we introduce the inverse design and develop a comprehensive optimization for an archetypal system with a single resonant layer, corresponding to an artificial two-level scheme. We discover a number of qualitative insights into x-ray photonic environments for nuclei that will likely impact the design of future x-ray cavities and thereby improve their performance. The methods presented readily generalize beyond the two-level case and thus provide a clear perspective towards the inverse design of more advanced tunable x-ray quantum optical level schemes.
Highlights
The conventional approach to describing physical systems is to define the system and to subsequently derive its functionality
In this work we introduce and develop the inverse design of artificial x-ray quantum level schemes which are realized with Mössbauer nuclei in thin-film cavities probed in grazing incidence
The key observable for nuclei embedded in thin-film cavities, dominating the experimental work up to now, is the linear spectrum of the reflected light measured for a fixed incidence angle of the probing x rays
Summary
The conventional approach to describing physical systems is to define the system and to subsequently derive its functionality. In this work we introduce and develop the inverse design of artificial x-ray quantum level schemes which are realized with Mössbauer nuclei in thin-film cavities probed in grazing incidence (see Fig. 1). These systems constitute an intriguing platform for quantum optics in the x-ray regime [4,5,6,7,8]. A step towards the inverse design of artificial x-ray few-level systems was recently taken with the advent of an ab initio quantum optical theory [25] The latter is formulated in terms of the classical electromagnetic Green’s function, which is known analytically [59] and allows for the numerically efficient calculation of the effective level schemes. The final term LIC[ρ] models the single-nucleus decay due to internal conversion with rate γIC approximately equal to the bare nuclear linewidth γ0
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