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Related papers: Dirac-Like Equation for Two-Level Atom

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In this article we develop energy methods for a large class of linear and nonlinear Dirac-type equations in two-dimensional Minkowski space. We will derive existence results for several Dirac-type equations originating in quantum field…

Differential Geometry · Mathematics 2019-03-01 Volker Branding

We consider an ensemble of three-level particles in lambda-configuration interacting with two bosonic modes. The Hamiltonian has the form of a generalized Dicke-model. We show that in the thermodynamic limit this model supports a…

Quantum Physics · Physics 2012-12-24 Mathias Hayn , Clive Emary , Tobias Brandes

We explore the possibilities of creating radiatively stable entangled states of two three-level dipole-interacting atoms in a $\Lambda$ configuration by means of laser biharmonic continuous driving or pulses. We propose three schemes for…

Quantum Physics · Physics 2009-10-31 I. V. Bargatin , B. A. Grishanin , V. N. Zadkov

A generalization of the Dirac field equation in three-dimensional Minkowski space-time to the case of the $\bar{SL}(3,R)$ $\subset$ $\bar{SA}(3,R)$ symmetry is considered. Constraints that ensure a correct physical interpretation of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. Miskovic , Dj. Sijacki

A relativistic equation is deduced for the bound state of two particles, by assuming a proper boundary condition for the propagation of the negative-energy states. It reduces to the (one-body)Dirac equation in the infinite limit of one of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hitoshi Ito

We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang-Mills field. The corresponding Einstein-Dirac-Yang/Mills equations are derived. Using numerical methods, we find…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Felix Finster , Joel Smoller , Shing-Tung Yau

We consider the influence of the near dipole-dipole interaction, underlying the local field, on the dynamics of two-level and V-type three-level atoms exposed to cw-laser radiation. The dipole-dipole interaction between the V-type…

Optics · Physics 2015-06-04 R. A. Vlasov , A. M. Lemeza , M. G. Gladush

We study the electromagnetic fields of an arbitrarily moving charged particle and the radiation reaction on the charged particle using a novel approach. We first show that the fields of an arbitrarily moving charged particle in an inertial…

Classical Physics · Physics 2009-10-30 Abhinav Gupta , T. Padmanabhan

A relativistic equation is deduced for the bound state of two particles, by assuming a proper boundary condition for the propagation of the negative-energy states. It reduces to the (one-body)Dirac equation in the infinite limit of one of…

High Energy Physics - Phenomenology · Physics 2016-09-06 Hitoshi Ito

The dissipative and decoherence properties of the two-level atom interacting with the squeezed vacuum field reservoir are investigated based on the nonautonomous master equation of the atomic density matrix in the framework of algebraic…

Quantum Physics · Physics 2009-11-11 Jun-Hong An , Shun-Jin Wang , Hong-Gang Luo , Cheng-Long Jia

Entanglement of remote atom lasers is obtained via quantum state transfer technique from lights to matter waves in a five-level $M$-type system. The considered atom-atom collisions can yield an effective Kerr susceptibility for this system…

Quantum Physics · Physics 2007-05-23 Xiong-Jun Liu , Hui Jing , Xin Liu , Ming-Sheng Zhan , Mo-Lin Ge

It is shown that the hypercomplex Dirac equation describes the system of connected fields: 4-scalar, 4-pseudoscalar, 4-vector, 4-pseudo-vector and antisymmetric 4-tensor second rank field. If mass is assumed to be zero this system splits…

Quantum Physics · Physics 2007-05-23 K. S. Karplyuk , O. O. Zhmudskyy

Using the intertwining relation we construct a pseudosuperpartner for a (non-Hermitian) Dirac-like Hamiltonian describing a two-level system interacting in the rotating wave approximation with the electric component of an electromagnetic…

Quantum Physics · Physics 2009-11-11 Boris F Samsonov , V V Shamshutdinova

The Lorentz-Abraham-Dirac equations (LAD) may be the most commonly accepted equation describing the motion of a classical charged particle in its electromagnetic field. However, it is well known that they bare several problems. In…

Classical Physics · Physics 2021-03-03 Christian Bild , Hartmut Ruhl , Dirk-Andre Deckert

In the Dirac operator framework we characterize and estimate the ground state energy of relativistic hydrogenic atoms in a constant magnetic field and describe the asymptotic regime corresponding to a large field strength using relativistic…

Analysis of PDEs · Mathematics 2009-11-11 Jean Dolbeault , Maria J. Esteban , Michael Loss

We calculate atom-photon resonances in the Wigner-Weisskopf model, admitting two photons and choosing a particular coupling function. We also present a rough description of the set of resonances in a model for a three-level atom coupled to…

Quantum Physics · Physics 2009-11-11 C. Billionnet

A relativistic equation is proposed for the bound state of two particles, which is in accord with the boundary condition for the propagation of the negative-energy states and reduces to the (one-body)Dirac equation in the infinite limit of…

High Energy Physics - Phenomenology · Physics 2008-02-03 Hitoshi Ito

We present a generic transfer matrix approach for the description of the interaction of atoms possessing multiple ground state and excited state sublevels with light fields. This model allows us to treat multi-level atoms as classical…

Quantum Physics · Physics 2011-01-24 André Xuereb , Peter Domokos , Peter Horak , Tim Freegarde

The electronic structure of an atom with Z <= 137 can be described by the Dirac equation with the Coulomb field of a point charge Ze. It was believed that the Dirac equation with Z > 137 is inconsistent and physically meaningless because…

Mathematical Physics · Physics 2012-05-02 D. M. Gitman , A. D. Levin , I. V. Tyutin , B. L. Voronov

We have investigated formation of structures of Rydberg atoms excited from a disordered gas of ultracold atoms, using rate equations for two-photon Rydberg excitation in a single atom without eliminating the intermediate state. We have…

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