arXiv subjects

A. U. Leonau

Publications and source records attributed to A. U. Leonau.

7 recordsLinked to original sources

arXiv2026

X-ray resonance therapy with parametric X-ray radiation (PXR) for sulfur-containing tumor tissues

We investigate the possibility of usage of the parametric X-ray radiation (PXR) for the selective therapy of superficial sulfur-containing tumor tissues. In these tissues, the concentration of sulfur atoms is significantly higher than in healthy ones. Accordingly, the destruction of cancer cells is caused by the ionization of sulfur atoms. The selective nature of the therapy is determined by the narrow spectral-angular distribution of the PXR photon beam and the resonant absorption of radiation by sulfur atoms. This leads to a significant decrease in the total dose required to achieve the desired effects compared to irradiation with conventional X-ray tubes or electron accelerators.

physics.bio-ph↗

arXiv2024

Ground state of the gauge invariant Dicke model: condensation of the photons in non-classical states

We investigate the ground state of two physically motivated modifications of the Dicke model. The first modification corresponds to particles whose phase space contains only two states, for example, particles with spin 1/2 or artificially created qubits. The second modification describes two-level systems that arise as a result of truncating the full Hilbert space of atoms to two levels that are in resonance with the electromagnetic field and are described by the gauge-invariant Dicke model. We demonstrate that the behavior of these systems is qualitatively distinct in both cases. In particular, in the first scenario, a phase transition into the state with a non-zero amplitude of the classical field is possible, while in the second case, the so-called order parameter $η= \braket{\hat{a}}$ of the field's phase transition into a coherent state with photon condensation is zero. At the same time, the average number of photons $\bar{n} = \braket{\hat{a}^\dagger \hat{a}} \neq 0$, and the collective excitation in the system manifests a non-classical "squeezed" state of the field. We analyze the observable characteristics of both systems in a wide range of variation of their parameters.

quant-ph↗

arXiv2022

Eigenstates of two-level systems in a single-mode quantum field: from quantum Rabi model to $N$-atom Dicke model

In the present paper we show that the Hamiltonian describing the resonant interaction of $N$ two-level systems with a single-mode electromagnetic quantum field in the Coulomb gauge can be diagonalized with a high degree of accuracy using a simple basis set of states. This allows one to find an analytical approximation for the eigenvectors and eigenvalues of the system, which interpolates the numerical solution in a broad range of the coupling constant values. In addition, the introduced basis states provide a regular way of calculating the corrections and estimating the convergence to the exact numerical solution. The obtained results are valid for both quantum Rabi model ($N = 1$) and the Dicke model for $N \geq 2$ atoms.

quant-ph↗

arXiv2020

Radiation induced interaction potential of two qubits strongly coupled with a quantized electromagnetic field

We investigate the interaction of two two-level qubits with a single mode quantum field in a cavity without rotating wave approximation and considering that qubits can be located at an arbitrary distance from each other. We demonstrate that there exists a radiation induced interaction potential between atoms. We studied the properties of the system numerically and in addition constructed a simple analytical approximation. It is shown that the observable characteristics are substantially dependent on the distance between the qubits in the strong coupling regime. This allows one to perform the quantum control of the qubits, which can be exploited for the recording and transmission of quantum information.

quant-ph↗

arXiv2020

Exact solution for the quantum Rabi model with the $\boldsymbol{\mathsf{A}}^{2}$ term

Quantum Rabi model (QRM) is widely used for the analysis of the radiation-matter interaction at the fundamental level in cavity quantum electrodynamics. Typically the QRM Hamiltonian includes only $\boldsymbol{\mathsf{p}} \cdot \boldsymbol{\mathsf{A}}$ term, however, the complete nonrelativistic Hamiltonian of quantum electrodynamics includes $\boldsymbol{\mathsf{A}}^{2}$ term as well. Here we find an exact solution and demonstrate with the help of the exact canonical transformations that the QRM Hamiltonian with the $\boldsymbol{\mathsf{A}}^{2}$ term (QRMA) is reduced to the standard QRM model Hamiltonian with the renormalized frequency and the coupling constant and the eigenstates are expressed through the squeezed states of the field. As a result, the $\boldsymbol{\mathsf{A}}^{2}$ term qualitatively changes the behavior of the QRM with purely electromagnetic interaction in the strong coupling regime: the value of the ground state energy of an atom inside the cavity is higher than in vacuum and the number of crossing of energy levels with different quantum numbers decreases.

quant-ph↗

arXiv2017

Analytic model of a multi-electron atom

A fully analytical approximation for the observable characteristics of many-electron atoms is developed via a complete and orthonormal hydrogen-like basis with a single-effective charge parameter for all electrons of a given atom. The basis completeness allows us to employ the secondary-quantized representation for the construction of regular perturbation theory, which includes in a natural way correlation effects, converges fast and enables an effective calculation of the subsequent corrections. The hydrogen-like basis set provides a possibility to perform all summations over intermediate states in closed form, including both the discrete and continuous spectra. This is achieved with the help of the decomposition of the multi-particle Green function in a convolution of single-electronic Coulomb Green functions. We demonstrate that our fully analytical zeroth-order approximation describes the whole spectrum of the system, provides accuracy, which is independent of the number of electrons and is important for applications where the Thomas-Fermi model is still utilized. In addition already in second-order perturbation theory our results become comparable with those via a multi-configuration Hartree-Fock approach.

quant-ph↗

arXiv2016

Spontaneous emission in a quantum system driven by the resonant field beyond the rotating wave approximation

Quasi-stationary states of the quantum system in the driving resonant field are considered without rotating wave approximation. Conditions under which the spontaneous emission could be suppressed in this system are investigated in the special case when the frequency of the driving field is essentially less than the frequency of spontaneous emission. It is shown that the characteristic parameters of the effect are substantially changed in comparison with the results corresponding to RWA. The real physical system for which the considered effects could be observed is described.

quant-ph↗