Mode-multiplexing deep-strong light-matter coupling

Dressing quantum states of matter with virtual photons can create exotic effects ranging from vacuum-field modified transport to polaritonic chemistry, and may drive strong squeezing or entanglement of light and matter modes. The established paradigm of cavity quantum electrodynamics focuses on resonant light-matter interaction to maximize the coupling strength $\Omega_\mathrm{R}/\omega_\mathrm{c}$, defined as the ratio of the vacuum Rabi frequency and the carrier frequency of light. Yet, the finite oscillator strength of a single electronic excitation sets a natural limit to $\Omega_\mathrm{R}/\omega_\mathrm{c}$. Here, we demonstrate a new regime of record-strong light-matter interaction which exploits the cooperative dipole moments of multiple, highly non-resonant magnetoplasmon modes specifically tailored by our metasurface. This multi-mode coupling creates an ultrabroadband spectrum of over 20 polaritons spanning 6 optical octaves, vacuum ground state populations exceeding 1 virtual excitation quantum for electronic and optical modes, and record coupling strengths equivalent to $\Omega_\mathrm{R}/\omega_\mathrm{c}=3.19$. The extreme interaction drives strongly subcycle exchange of vacuum energy between multiple bosonic modes akin to high-order nonlinearities otherwise reserved to strong-field physics, and entangles previously orthogonal electronic excitations solely via vacuum fluctuations of the common cavity mode. This offers avenues towards tailoring phase transitions by coupling otherwise non-interacting modes, merely by shaping the dielectric environment

Company ‘Emigration’ and EC Freedom of Establishment: Daily Mail Revisited

Following the ECJ’s recent case law on EC freedom of establishment (the Centros, Überseering and Inspire Art cases), regulatory competition for corporate law within the European Union takes place at an early stage of the incorporation of new companies. In contrast, as regards the ‘moving out’ of companies from the country of incorporation, the ECJ once considered a tax law restriction against the transfer abroad of a company’s administrative seat as compatible with EC freedom of establishment (the Daily Mail case). For years, this decision has been regarded as applicable to all restrictions imposed by countries of incorporation, even the forced liquidation of the ‘emigrating’ company. This paper addresses the question whether EC freedom of establishment really allows Member States to place any limit on the ‘emigration’ of nationally registered companies. It argues that EC freedom of establishment covers the transfer of the administrative seat as well as the transfer of the registered office and, therefore, that the country of incorporation cannot liquidate ‘emigrating’ companies. In addition, it addresses the question whether a new Directive is needed to allow the transfer of a com- pany’s registered office and the identity-preserving company law changes. It argues that such a Directive is necessary to avoid legal uncertainty and to protect the interests of employees, creditors and minority shareholders, among others, who could be detrimentally affected by the ‘emigration’ of national companies

Tailored subcycle nonlinearities of ultrastrong light-matter coupling

We explore the nonlinear response of tailor-cut light-matter hybrid states in a novel regime, where both the Rabi frequency induced by a coherent driving field and the vacuum Rabi frequency set by a cavity field are comparable to the carrier frequency of light. In this previously unexplored strong-field limit of ultrastrong coupling, subcycle pump-probe and multi-wave mixing nonlinearities between different polariton states violate the normal-mode approximation while ultrastrong coupling remains intact, as confirmed by our mean-field model. We expect such custom-cut nonlinearities of hybridized elementary excitations to facilitate non-classical light sources, quantum phase transitions, or cavity chemistry with virtual photons

Non-adiabatic stripping of a cavity field from electrons in the deep-strong coupling regime

Atomically strong light pulses can drive sub-optical-cycle dynamics. When the Rabi frequency-the rate of energy exchange between light and matter-exceeds the optical carrier frequency, fascinating non-perturbative strong-field phenomena emerge, such as high-harmonic generation and lightwave transport. Here, we explore a related novel subcycle regime of ultimately strong light-matter interaction without a coherent driving field. We use the vacuum fluctuations of nanoantennas to drive cyclotron resonances of two-dimensional electron gases to vacuum Rabi frequencies exceeding the carrier frequency. Femtosecond photoactivation of a switch element inside the cavity disrupts this 'deep-strong coupling' more than an order of magnitude faster than the oscillation cycle of light. The abrupt modification of the vacuum ground state causes spectrally broadband polarization oscillations confirmed by our quantum model. In the future, this subcycle shaping of hybrid quantum states may trigger cavity-induced quantum chemistry, vacuum-modified transport or cavity-controlled superconductivity, opening new scenarios for non-adiabatic quantum optics. Deactivation of deep-strong light-matter coupling is achieved by femtosecond switching of terahertz cavities. This disruption leads to pronounced high-frequency polarization oscillations evolving much faster than the oscillation cycle of light

Reactive oxygen species in phagocytic leukocytes

Phagocytic leukocytes consume oxygen and generate reactive oxygen species in response to appropriate stimuli. The phagocyte NADPH oxidase, a multiprotein complex, existing in the dissociated state in resting cells becomes assembled into the functional oxidase complex upon stimulation and then generates superoxide anions. Biochemical aspects of the NADPH oxidase are briefly discussed in this review; however, the major focus relates to the contributions of various modes of microscopy to our understanding of the NADPH oxidase and the cell biology of phagocytic leukocytes

Light and electron microscopical demonstration of the ouabain-sensitive, potassium-dependent p-nitrophenylphosphatase activity (K-NPPase) using a Ce-Mg-double capture technique

The cerium-based method of Kobayashi et al. for the histochemical demonstration of K-NPPase activity was improved. Besides Ce3+ additionally Mg2+ ions as orthophosphate capture were employed (double capture technique). For light microscopical purposes the Mg-phosphate was converted into Ce-phosphate by treatment of the sections with Ce-citrate yielding higher quantity of reaction product. Unspecific background staining was eliminated by EGTA. In the electron microscope this technique brought about fine granular reaction products without diffusion artefacts

Improved light microscopic demonstration of D-amino acid oxidase activity in cryotome sections using cerium ions as capturing and amplifying agen: the Ce/Ce-H2O2-DAB procedure

The light microscopical demonstration of D-amino acid oxidase (AAOX) activity with cerium (Ce III) as the capturing agent was improved. The incubation medium was stabilized by the employment of triethanolamine and detrane complexed cerium. A considerable increase in intensity of the reaction was accomplished by treatment of the AAOX-incubated sections with Ce III which reacted with the primary reaction product Ce IV-perhydroxide to form Ce IV-hydroxide. In this way the primary reaction product was reduced and enlarged concomitantly. The Ce IV-hydroxide was converted into Ce IV-perhydroxide by H2O2, which was visualized by blue-black stained Ni-DAB complexes. Thus, Ce III is used as capturing agent as well as amplifier (Ce/Ce-H2O2 -DAB method). The primary reaction product Ce III-phosphate formed by coreacting phosphatases was selectively extracted by citrate containing glycine-NaOH buffer while Ce IV-perhydroxide remained in the sections. In model experiments it was proven that the perhydroxide groups in the Ce IV-perhydroxide compound initiate predominantly the DAB polymerization while the contribution of Ce III and Ce IV is small