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We investigate the quantum dynamics of a quantum oscillator coupled with the most upper state of a three-level $\Lambda-$ type system. The two transitions of the three-level emitter, possessing orthogonal dipole moments, are coherently…

Quantum Physics · Physics 2019-09-09 Alexandra Mirzac , Mihai A. Macovei

We present a study of the structure of phase diagrams for matter-radiation systems, based on the use of coherent states and the catastrophe formalism, that compares very well with the exact quantum solutions as well as providing analytical…

Quantum Physics · Physics 2020-02-19 Eduardo Nahmad-Achar , Sergio Cordero , Ramón López-Peña

We investigate some aspects of the dynamics and entanglement of bipartite quantum system (atom-quantized field), coupled to a third ``external" subsystem (quantized field). We make use of the Raman coupled model; a three-level atom in a…

Quantum Physics · Physics 2021-03-30 G. L. Deçordi , A. Vidiella-Barranco

Determining the energy levels of a quantum system is a significant task, for instance, to analyze reaction rates in drug discovery and catalysis or characterize the compatibility of materials. In this paper we exploit quantum metrology, the…

We present a theoretical framework that describes a wave packet of light prepared in a state of definite photon number interacting with an arbitrary quantum system (e.g. a quantum harmonic oscillator or a multi-level atom). Within this…

Quantum Physics · Physics 2012-08-15 Ben Q. Baragiola , Robert L. Cook , Agata M. Branczyk , Joshua Combes

We introduce a combination of coherent states as variational test functions for the atomic and radiation sectors to describe a system of Na three- level atoms interacting with a one-mode quantised electromagnetic field, with and without the…

Quantum Physics · Physics 2015-10-22 R. López-Peña , S. Cordero , E. Nahmad-Achar , O. Castaños

Exact particle-like static, spherically and/or cylindrically symmetric solutions to the equations of interacting scalar and electromagnetic field system have been obtained within the scope of general relativity. In particular, we considered…

General Relativity and Quantum Cosmology · Physics 2014-11-17 B. Saha

We examine the dynamics of subsystems of bipartite and tripartite quantum systems with nonlinear Hamiltonians. We consider two models which capture the generic features of open quantum systems: a three-level atom interacting with a…

Quantum Physics · Physics 2015-06-22 Athreya Shankar , S. Lakshmibala , V. Balakrishnan

The interaction between light and matter is one of the oldest research areas of quantum mechanics, and a field that just keeps on delivering new insights and applications. With the arrival of cavity and circuit quantum electrodynamics we…

Quantum Physics · Physics 2024-02-21 Daniel Burgarth , Paolo Facchi , Robin Hillier , Marilena Ligabò

In this note I introduce a mysterious approximation called the rotating wave approximation (RWA) to undergraduates or non-experts who are interested in both Mathematics and Quantum Optics. In Quantum Optics it plays a very important role in…

Quantum Physics · Physics 2014-05-26 Kazuyuki Fujii

We study the exact solutions of the cascade three-level atom interacting with a single mode classical and quantized field with different initial conditions of the atom. For the semiclassical model, it is found that if the atom is initially…

Quantum Physics · Physics 2007-11-27 Mihir Ranjan Nath , Surajit Sen , Gautam Gangopadhyay

In this paper we propose a Hamiltonian generalizing the interaction of the two--level atom and both the single radiation mode and external field $...$ a kind of cavity QED. We solve the Schrodinger equation in the strong coupling regime by…

Quantum Physics · Physics 2007-05-23 Kazuyuki Fujii

In this dissertation a simple Hamiltonian for a system of inter-acting molecules and radiation field is developed from a model of N Two-Level Molecules interacting, via a dipole approximation, with a single mode, quantized radiation field.…

Quantum Physics · Physics 2017-09-05 Michael Thomas Tavis

We study the existence and stability of standing waves solutions of a three-coupled nonlinear Schr\"{o}dinger system related to the Raman amplification in a plasma. By means of the concentration-compacteness method, we provide a…

Analysis of PDEs · Mathematics 2017-12-05 Alex H. Ardila

The Rabi model considers a two-level system (or spin-1/2) coupled to a quantized harmonic oscillator and describes the simplest interaction between matter and light. The recent experimental progress in solid-state circuit quantum…

Mesoscale and Nanoscale Physics · Physics 2014-08-20 Loïc Henriet , Zoran Ristivojevic , Peter P. Orth , Karyn Le Hur

In this dissertation, I explore interactions between matter and propagating light. The electromagnetic field is modeled as a reservoir of quantum harmonic oscillators successively streaming past a quantum system. Each weak and fleeting…

Quantum Physics · Physics 2014-08-21 Ben Q. Baragiola

S-matrix amplitudes for the electron-electron scattering are calculated in order to verify the quantum equivalence of dual models. We used an extended Quantum Electrodynamics with CPT-even Lorentz-violating kinetic and mass terms, which was…

High Energy Physics - Theory · Physics 2017-03-08 Giuliano R. Toniolo , H. G. Fargnoli , L. C. T. Brito , A. P. Baêta Scarpelli

The purely algebraic technique associated with the creation and annihilation operators to resolve the radial equation of Hydrogen-like atoms (HLA) for generating the bound energy spectrum and the corresponding wave functions is suitable for…

Quantum Physics · Physics 2023-08-29 Mehdi Miri

The temporal evolution of quantum statistical properties of an interacting atom-radiation field system in the presence of a classical homogeneous gravitational field is investigated within the framework of the Jaynes-Cummings model. To…

Quantum Physics · Physics 2009-11-13 M. Mohammadi , M. H. Naderi , M. Soltanolkotabi

The electronic Schr\"odinger equation describes the motion of $N$ electrons under Coulomb interaction forces in a field of clamped nuclei. It is proved that its solutions for eigenvalues below the essential spectrum lie in the spectral…

Analysis of PDEs · Mathematics 2026-04-10 Harry Yserentant
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