Synchronization and bistability of qubit coupled to a driven dissipative oscillator

We study numerically the behavior of qubit coupled to a quantum dissipative driven oscillator (resonator). Above a critical coupling strength the qubit rotations become synchronized with the oscillator phase. In the synchronized regime, at certain parameters, the qubit exhibits tunneling between two orientations with a macroscopic change of number of photons in the resonator. The life times in these metastable states can be enormously large. The synchronization leads to a drastic change of qubit radiation spectrum with appearance of narrow lines corresponding to recently observed single artificial-atom lasing [O. Astafiev {\it et al.} Nature {\bf 449}, 588 (2007)].Comment: revtex 4 pages, 6 figs, research at http://www.quantware.ups-tlse.fr

Ossetian-Ingush Mixed Jury Trial: Institutionalization of People’s Justice in Political and Legal Space of the Russian Empire

The article analyzes the features of the institutionalization of the national justice of Ossetians and Ingush in the conditions of their incorporation into the political and legal space of the Russian Empire on the example of a mixed jury, which existed in 1908-1910. The place of a mixed jury trial in the judicial system of the Terek region in the early 20th century, in which both formal (state) and informal (people’s) institutions functioned, is considered. Such traditional institutions of socio-normative culture of the Ossetians and the Ingush applied in judicial practice, as compensation for the murder (“payment for blood”), infliction of wounds and injuries, theft, are described. Mutual responsibility as the main measure of responsibility for violation of the principles of social justice, as well as the oath and testimony of witnesses as a form of proof of guilt / innocence of the defendant are analysed in details. The principles of formation and replenishment of people’s cash registers, from which material compensation was paid to the injured party by the decision of the mixed court, were studied. It is concluded that the reception of the customs and traditions of Ossetians and Ingush by consolidating their people’s will in the Russian legal acts regulating the activities of the mixed court, retained the functional importance of national justice and laid the foundation for the formation of the subsequent Russian civil consciousness

Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator

Using method of quantum trajectories we study the behavior of two identical or different superconducting qubits coupled to a quantum dissipative driven resonator. Above a critical coupling strength the qubit rotations become synchronized with the driving field phase and their evolution becomes entangled even if two qubits may significantly differ from one another. Such entangled qubits can radiate entangled photons that opens new opportunities for entangled wireless communication in a microwave range.Comment: 4 pages, 4 figs, research at http://www.quantware.ups-tlse.fr

Quantum correlations and synchronization measures

The phenomenon of spontaneous synchronization is universal and only recently advances have been made in the quantum domain. Being synchronization a kind of temporal correlation among systems, it is interesting to understand its connection with other measures of quantum correlations. We review here what is known in the field, putting emphasis on measures and indicators of synchronization which have been proposed in the literature, and comparing their validity for different dynamical systems, highlighting when they give similar insights and when they seem to fail.Comment: book chapter, 18 pages, 7 figures, Fanchini F., Soares Pinto D., Adesso G. (eds) Lectures on General Quantum Correlations and their Applications. Quantum Science and Technology. Springer (2017

Quantum Resonances of Kicked Rotor and SU(q) group

The quantum kicked rotor (QKR) map is embedded into a continuous unitary transformation generated by a time-independent quasi-Hamiltonian. In some vicinity of a quantum resonance of order $q$, we relate the problem to the {\it regular} motion along a circle in a $(q^2-1)$-component inhomogeneous "magnetic" field of a quantum particle with $q$ intrinsic degrees of freedom described by the $SU(q)$ group. This motion is in parallel with the classical phase oscillations near a non-linear resonance.Comment: RevTeX, 4 pages, 3 figure

Big Entropy Fluctuations in Statistical Equilibrium: The Macroscopic Kinetics

Large entropy fluctuations in an equilibrium steady state of classical mechanics were studied in extensive numerical experiments on a simple 2--freedom strongly chaotic Hamiltonian model described by the modified Arnold cat map. The rise and fall of a large separated fluctuation was shown to be described by the (regular and stable) "macroscopic" kinetics both fast (ballistic) and slow (diffusive). We abandoned a vague problem of "appropriate" initial conditions by observing (in a long run)spontaneous birth and death of arbitrarily big fluctuations for any initial state of our dynamical model. Statistics of the infinite chain of fluctuations, reminiscent to the Poincar\'e recurrences, was shown to be Poissonian. A simple empirical relation for the mean period between the fluctuations (Poincar\'e "cycle") has been found and confirmed in numerical experiments. A new representation of the entropy via the variance of only a few trajectories ("particles") is proposed which greatly facilitates the computation, being at the same time fairly accurate for big fluctuations. The relation of our results to a long standing debates over statistical "irreversibility" and the "time arrow" is briefly discussed too.Comment: Latex 2.09, 26 pages, 6 figure

Quantum phase transition in the Frenkel-Kontorova chain: from pinned instanton glass to sliding phonon gas

We study analytically and numerically the one-dimensional quantum Frenkel-Kontorova chain in the regime when the classical model is located in the pinned phase characterized by the gaped phonon excitations and devil's staircase. By extensive quantum Monte Carlo simulations we show that for the effective Planck constant $\hbar$ smaller than the critical value $\hbar_c$ the quantum chain is in the pinned instanton glass phase. In this phase the elementary excitations have two branches: phonons, separated from zero energy by a finite gap, and instantons which have an exponentially small excitation energy. At $\hbar=\hbar_c$ the quantum phase transition takes place and for $\hbar>\hbar_c$ the pinned instanton glass is transformed into the sliding phonon gas with gapless phonon excitations. This transition is accompanied by the divergence of the spatial correlation length and appearence of sliding modes at $\hbar>\hbar_c$.Comment: revtex 16 pages, 18 figure

Life trajectories of parents who’s parental rights were terminated: the sociological research

Life trajectories of parents who’s parental rights were terminated: the sociological research / O. A. Volkova [et al.] // Indo American journal of pharmaceutical sciences. - 2017. - N04(09).-P. 3128-3133. - Refer.: p. 3132-3133.The article presents the results of a sociological research conducted in 2016 in the Belgorod, Saratov regions and the Trans-Baikal Territory and includes two stages. On the first stage there was the expert survey (n=25), where the informants were employees of the guardianship authorities; social services; education, health care and law institution

Fractal Spin Glass Properties of Low Energy Configurations in the Frenkel-Kontorova chain

We study numerically and analytically the classical one-dimensional Frenkel-Kontorova chain in the regime of pinned phase characterized by phonon gap. Our results show the existence of exponentially many static equilibrium configurations which are exponentially close to the energy of the ground state. The energies of these configurations form a fractal quasi-degenerate band structure which is described on the basis of elementary excitations. Contrary to the ground state, the configurations inside these bands are disordered.Comment: revtex, 9 pages, 9 figure

Gell-Mann--Okubo Mass Formula for an SU(4) Meson Hexadecuplet

Using a linear mass spectrum of an $SU(4)$ meson hexadecuplet, we derive the Gell-Mann--Okubo mass formula for the charmed mesons, in good agreement with experiment. Possible generalization of this method to a higher symmetry group is briefly discussed.Comment: 11 pages, LaTe