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A complete classification of two-dimensional algebras over algebraically closed fields is provided

Rings and Algebras · Mathematics 2018-12-04 H. Ahmed , U. Bekbaev , I. Rakhimov

Negativity has been adopted to investigate the entanglement in a system composed of a two-level atom and a two-mode cavity field. Effects of Kerr-like medium and the number of photon inside the cavity on the entanglement are studied. Our…

Quantum Physics · Physics 2015-05-13 Liu Jia , Chen Zi-Yu , Bu Shen-Ping , Zhang Guo-Feng

This paper is devoted to the study of the influence of two parallel plates on the atomic levels of a Hydrogen atom placed in the region between the plates. We treat two situations, namely: the case where both plates are infinitely permeable…

High Energy Physics - Theory · Physics 2007-05-23 D. T. Alves , F. A. Barone , C. Farina , A. C. Tort

Philosophical reflection on quantum field theory has tended to focus on how it revises our conception of what a particle is. However, there has been relatively little discussion of the threat to the "reality" of particles posed by the…

Quantum Physics · Physics 2007-05-23 Rob Clifton , Hans Halvorson

These lectures give an introduction to the methods of conformal field theory as applied to deriving certain results in two-dimensional critical percolation: namely the probability that there exists at least one cluster connecting two…

Mathematical Physics · Physics 2007-05-23 John Cardy

Based on the Relativistic Mean Field (RMF) approach the existence of the broken pseudo-spin symmetry is investigated. Both spherical RMF and constrained deformed RMF calculations are carried out employing realistic Lagrangian parameters for…

Nuclear Theory · Physics 2009-10-31 G. A. Lalazissis , Y. K. Gambhir , J. P. Maharana , C. S. Warke , P. Ring

We prove a result related to Dirichlet spectrum for simultaneous approximation to two real numbers in Euclidean norm and badly or very well approximability.

Number Theory · Mathematics 2021-11-25 Renat K. Akhunzhanov , Nikolay G. Moshchevitin

We discuss the necessary conditions for a two-level system in the presence of an isotropic band edge to be transparent to a probe laser field. The two-level atom is transparent whenever it is coupled to a reservoir constituted of two parts…

Quantum Physics · Physics 2015-03-17 G. A. Prataviera , M. C. de Oliveira

The 'thin-wall approximation' gives a simple estimate of the decay rate of an unstable quantum field. Unfortunately, the approximation is uncontrolled. In this paper I show that there are actually two different thin-wall approximations and…

High Energy Physics - Theory · Physics 2018-11-28 Adam R. Brown

We find the Lie point symmetries for non-relativistic two-dimensional charged particle motion. These symmetries comprise a quasi-invariance transformation, a time-dependent rotation, a time-dependent spatial translation and a dilation. The…

Mathematical Physics · Physics 2009-11-07 F. Haas , J. Goedert

In this work, we consider a three-level ladder-type atom driven by a coherent field, inspired by the experimental work of Gasparinetti et al. [Phys. Rev. A 100, 033802 (2019)]. When driven on two-photon resonance, the atom is excited into…

Quantum Physics · Physics 2025-10-06 Jacob Ngaha , Scott Parkins , Howard J. Carmichael

For the coherently driven \Lambda-type three-level systems the general ready-to-calculate expression for the susceptibility tensor at the frequency of the weak probe field is obtained for the arbitrary polarization of the strong coupling…

Optics · Physics 2014-10-14 V. A. Reshetov , I. V. Meleshko

The development of relativistic exact two-component (X2C) theory is briefly reviewed, with an emphasis on cost-effective treatments of relativistic two-electron contributions by means of model potential (MP) techniques and closely related…

Chemical Physics · Physics 2025-04-29 Xubo Wang , Chaoqun Zhang , Junzi Liu , Lan Cheng

In this work, a classical-quantum correspondence for two-level pseudo-Hermitian systems is proposed and analyzed. We show that the presence of a complex external field can be described by a pseudo-Hermitian Hamiltonian if there is a…

Quantum Physics · Physics 2021-02-10 K. Raimundo , M. C. Baldiotti , R. Fresneda , C. Molina

Low-lying energy levels of two interacting electrons confined in a two-dimensional parabolic quantum dot in the presence of an external magnetic field have been revised within the frame of a novel model. The present formalism, which gives…

Quantum Physics · Physics 2009-10-11 Bulent Gonul , Ebru Bakir , Koray Koksal

Compared with quantum coherence, multilevel quantum coherence offers a hierarchical classification that enables a more refined characterization. In this paper, we investigate multilevel coherence and introduce two $\alpha$-affinity-based…

Quantum Physics · Physics 2025-09-23 Yan Hong , Mengjia Zhang , Limin Gao , Xianfei Qi , Huaqi Zhou

We revisit the two-field mimetic gravity model with shift symmetries recently proposed in the literature, especially the problems of degrees of freedom and stabilities. We first study the model at the linear cosmological perturbation level…

General Relativity and Quantum Cosmology · Physics 2020-09-25 Liuyuan Shen , Yunlong Zheng , Mingzhe Li

By using the random matrix approach and generalized Blue's function representation we solve analytically the model of an effective two-level system coupled to a noise reservoir. We show that calculated spectral properties of the system are…

Condensed Matter · Physics 2009-10-30 Ewa Gudowska-Nowak , Gabor Papp , Juergen Brickmann

We examine the motion of light fields near the bottom of a potential valley in a multi-dimensional field space. In the case of two fields we identify three general scales, all of which must be large in order to justify an effective…

High Energy Physics - Theory · Physics 2015-06-11 C. P. Burgess , M. W. Horbatsch , Subodh P. Patil

Two oscillators coupled to a two-level system which in turn is coupled to an infinite number of oscillators (reservoir) are considered, bringing to light the occurrence of synchronization. A detailed analysis clarifies the physical…

Quantum Physics · Physics 2017-09-13 B. Militello , H. Nakazato , A. Napoli
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