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Yuri Ozhigov

Publications and source records attributed to Yuri Ozhigov.

At least 19 recordsLinked to original sources
arXiv2025

Remote Stimulation of QED Scenarios in the Jaynes-Cummings-Hubbard Model

The article addresses the important and relevant task of remote induction of quantum dynamic scenarios. This involves transferring such scenarios from donor atoms to a target atom. This induction is based on the enhancement of quantum transitions in the presence of multiple photons of the same transition. We use the quantum master equation for the Tavis-Cummings-Hubbard (TCH) model with multiple cavities connected to the target cavity via waveguides. The dependence of the efficiency and transfer of the scenario on the number of donor cavities, the number of atoms in them, and the bandwidth of the waveguides is investigated.

quant-ph↗
arXiv2023

Numerical analysis of the influence of initial and external conditions on the association of artificial atoms

The chemical dynamics scene is the most important application of computer simulation. We show that electrons jump between potential holes of different depths (new molecular orbits, hybrid atomic orbits with different energies) under the influence of temperature (phonons) and photon phenomena. To overcome exponentially increasing computational complexity. In our article we experimented with algorithms of state space selection.

quant-ph↗
arXiv2023

Collapse of dark states in Tavis-Cummings model

The singlet state of a system of two two-level atoms changes smoothly, remaining dark, as the Hamiltonian TC is slowly deformed, despite the inapplicability of the adiabatic theorem to this case. In this case, there is a small probability of emission of free photons, which does not depend on the smoothness of the deformation of the Hamiltonian. The effect of spontaneous emission is enhanced by the addition of one more pair of atoms in the singlet state due to the exchange of virtual photons in the cavity. A similar effect was also established for the case when atoms can move between two cavities, but here, on the contrary, with an increase in the number of atoms, the emission decreases. This purely quantum effect must be taken into account in practical manipulations with atomic singlets; however, its weakness testifies, rather, to the stability of dark states and the prospects for their use in information exchange (quantum cryptographic protocols) and as an energy accumulator for nono-devices.

quant-ph↗
arXiv2023

Description of the non-Markovian dynamics of atoms in terms of a pure state

The quantum master equation (QME), used to describe the Markov process of interaction between atoms and field, has a number of significant drawbacks. It is extremely memory intensive, and also inapplicable to the case of long-term memory in the environment. An iterative algorithm for modeling the dynamics of an atomic system in the extended Tavis-Cummings model in terms of a pure state is proposed. The correctness of this algorithm is shown on the example of the interaction of an atomic system with the environment through the exchange of photons with the preservation of coherence. This algorithm is applicable to a wide class of processes associated with photonic machinery, in particular, to chemical reactions.

quant-ph↗
arXiv2023

Qualitative model of a positive hydrogen peroxide ion in a thermal bath

A qualitative model is proposed for a pair of atoms: oxygen and hydrogen in a single-mode optical cavity, bound by one valence electron and immersed in a thermal bath. The interaction of an electron with the cavity field depends on the state of the nuclei, which, in turn, is determined by the temperature of the phonon mode of the thermal bath. Computer simulation of the quantum dynamics of such a system shows the stable nature of the formation of both a stable molecular ion and a separate neutral oxygen atom and a positive hydrogen ion.

quant-ph↗
arXiv2021

About chemical modifications of finite dimensional models of QED

Suggestion of modifications of finite-dimensional QED models are proposed for interpreting chemical reactions in terms of artificial atoms and molecules on quantum dots placed in optical cavities. Moving both photons and atoms is possible between the cavities. Super dark states of diatomic systems are described, in which the motion of atoms between cavities is impossible due quantum interference. Chemical processes with two level atoms and three level atoms with lambda spectrum are schematically modeled by solving the single quantum master equation with the Lindblad operators of photon leakage from the cavity and influx into it; association and dissociation reactions then differ only in the initial states. An example is given of the optical interpretation of the transition of an electron from atom to atom in terms of the multilevel Tavis-Cummings-Hubbard model with an estimate of the accuracy. Polyatomic chemical reactions are too complex for accurate modeling. Our method of rough interpretation helps to obtain their long-term results, for example, the form of stationary states of reagents, such as dark and super dark states.

quant-ph↗
arXiv2021

Kinship and antagonism of chains in entangled biphoton controlled synthesis

The synthesis of 3 and 4 abstract polymer chains divided into two sexes is considered, where the degree of kinship of the chains is determined by their overlap. It is shown that the use of some types of entangled bi-photon in one-way control gives a difference in the degree of kinship between the legal and nonlegal pairs that is unattainable with classical control. This example demonstrates the quantum superiority in distributed computing, coming from the violation of the Bell inequality. It may be of interest for revealing the quantum mechanisms of synthesis of real biopolymers with directional properties.

quant-ph↗
arXiv2021

Quality of Control in the Tavis-Cummings-Hubbard Model

The quality of controlling a system of optical cavities in the Tavis-Cummings-Hubbard (TCH) model is estimated with the examples of quantum gates, quantum walks on graphs, and of the detection of singlet states. This type of control of complex systems is important for quantum computing, for the optical interpretation of mechanical movements, and for quantum cryptography, where singlet states of photons and charges play an essential role. It has been found that the main reason for the decrease of the control quality in the THC model is due to the finite width of the atomic spectral lines, which is itself related to the time energy uncertainty relation. This paper evaluates the quality of a CSign-type quantum gate based on asynchronous atomic excitations and on the optical interpretation of the motion of a free particle.

quant-ph↗
arXiv2020

Quantum gates on asynchronous atomic excitations

The article proposes the implementation of a universal system of quantum gates on asynchronous excitations of two-level atoms in optical cavities. The entangling operator of the CSign type is implemented without beam splitters, approximately, based on the incommensurability of the periods of Rabi oscillations in a cavity with single and double excitations.

quant-ph↗
arXiv2019

On the physical limit of quantum computing

Experimental attempts to implement quantum speedup of computations over the past 30 years have yielded a negative result, despite the absence of physical laws prohibiting such speedup. The article formulates the limitation of quantum formalism in the form of uncertainty "the complexity of the system - the accuracy of its description at the quantum level", and provides arguments in favor of its physical status. An experiment to determine this constant through Grover's algorithm is described. Rough estimates on the constant of this ratio are given, based on the possibility of applying the quantum theory to two processes: the emission of a photon by a Rubidium atom and the decay of an unstable isotope of Helium 6. This ratio explicitly prohibits the physical implementation of scalable fast quantum computations, but leaves the possibility of modeling the dynamics of real systems on a quantum computer, the only advantage of which is the use of quantum nonlocality.

quant-ph↗
arXiv2018

Distributed synthesis of chains with one-way biphotonic control

An example of a one-way distributed computation is given in which the use of entangled states of two photons to synchronize processes gives a benefit. The process of assembling polymer chains at two remote points is considered; the quality of the assembly is determined when they are superimposed on each other. The effect of using entangled states is almost 14 percents.

quant-ph↗
arXiv2015

Reliability of optical gate array for C-Sign operator

We study optical gate array of KLM model of quantum computer for C-Sign operator, which contains linear elements and two nonlinear phase shifts. Linear elements and photon counting are taken to be ideal, whereas nonlinear phase shifts are subject of realistic and unavoidable factors of decoherence: the immediate photon leak from cavities and mediated leakage with the atom, which flies out of the cavity and plays the role of ancilla. We use JC model with Lindblad master equation to estimate the dependence of the validity of C-Sign operator from the rate of photon leak and estimate the limitation, which this validity imposes to quantum computations.

quant-ph↗
arXiv2015

Quantum revivals of non Rabi type in Jaynes-Cummings model

We studied full revivals of quantum states in the Jaynes-Cannings model. It is proved that in the case of zero detuning in subspaces generated by two adjacent pairs of energy levels, full revival of the subspace does not exist for any values of the parameters. In the case of non-zero detuning on the contrary, the set of parameters that allows full revival of such subspaces is dense as the subset of all parameters. The nature of these revivals differs from Rabi oscillations in subspaces of a single pair of energy. In more complex subspaces the presence of full revival is reduced to particular cases of 10-th Hilbert problem for rational solutions of systems of nonlinear algebraic equations, which has no algorithmic solution in general case.

quant-ph↗
arXiv2010

Dynamic diffusion as approximation of quantum behavior

The approximation of quantum unitary dynamics of a particle by a swarm of point wise classical samples of this particle is proposed. Quantum mechanism of speedup rests on the creation and annihilation of absolutely rigid bons, which join samples in dot wise symplexes so that the density of swarm approximate the quantum probability. This mechanism does not require differentiation of a density that is adventage of this method over Bohm's quantum hydrodynamics: our method is applicable to many particles in entangled states. In multi particle case the limitation of total number of samples gives the natural model of decoherence, e.g. the divergency from the exact solution of Shredinger equation. Intensity of creation - annihilation of bonds between samples substantially depends on the grain of spatial resolution, which makes impossible to pass to the limits as in a classical substance; this is the price for the scalability of a model to many particles.

physics.gen-ph↗
arXiv2008

Course of lectures on physical constructivism

In this course, I talk about the source of mathematical constructivism and its role in the future development of theoretical physics. I describe what physical constructivism is and why it is necessary for the penetration of exact methods of theoretical physics to the area of complex systems, which formally belong to the others natural disciplines. I describe the concrete heuristic for the creating of models of constructive quantum theory the method of collective behavior. I represent the constructive viewpoint on the quantum computer, which treats it as the model object of many particle quantum physics, and the practical recommendation concerning its building. Due to the known inertia of the educational system constructive methods in mathematics remains mostly unknown to the wide physical community, and I hope that this course will stimulate the interest to the new possibilities, which these methods open. These possibilities represent interest to natural scientists and for programmers as well.

quant-ph↗
arXiv2008

Constructive physics

Discussion of the necessity to use the constructive mathematics as the formalism of quantum theory for systems with many particles.

quant-ph↗
arXiv2008

Genetic simulation of quantum dynamics by the principle of quantum state selection

The simple genetic algorithm is proposed for the simulation of quantum many body dynamics. It uses the selection of entangled quantum states and has the inbuilt absolute decoherence that comes from the limitation of classical memory. It utilizes the "pre-quantum field" in the form of interacting between the different "quantum worlds". It is shown how this selection model can be applied to the problem of molecular association in chemical reactions.

quant-ph↗