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In this paper, we investigate a family of one-dimensional multi-component quantum many-body systems. The interaction is an exchange interaction based on the familiar family of integrable systems which includes the inverse square potential.…

Condensed Matter · Physics 2009-10-22 Bill Sutherland , B. Sriram Shastry

This contribution has two main purposes. First, we show using classical optics how to model two coupled quantum harmonic oscillators and two interacting quantized fields. Second, we use quantum mechanical techniques to solve, exactly, the…

An integrated computational framework is introduced to study complex engineering systems through physics-based ensemble simulations on heterogeneous supercomputers. The framework is primarily designed for the quantitative assessment of…

Computational Engineering, Finance, and Science · Computer Science 2022-02-08 Kazuki Maeda , Thiago Teixeira , Jonathan M. Wang , Jeffrey M. Hokanson , Caetano Melone , Mario Di Renzo , Steve Jones , Javier Urzay , Gianluca Iaccarino

This paper is an extension of Fujii et al (quant--ph/0307066) and in this one we again treat a model of atom with n energy levels interacting with n(n-1)/2 external laser fields, which is a natural extension of usual two level system. Then…

Quantum Physics · Physics 2007-07-09 Kazuyuki Fujii

With the increasing use of ultrashort laser pulses and nanoscale-materials, one is regularly confronted to situations in which the properties of the media supporting propagation are not varying slowly with time (or space). Hence, the usual…

Other Condensed Matter · Physics 2009-11-10 Guillaume Petite , Alexander Shvartsburg

Many quantum integrable systems are obtained using an accelerator physics technique known as Ermakov (or normalized variables) transformation. This technique was used to create classical nonlinear integrable lattices for accelerators and…

Accelerator Physics · Physics 2013-02-01 S. Nagaitsev , V. Danilov

Many quantum integrable systems are obtained using an accelerator physics technique known as Ermakov (or normalized variables) transformation. This technique was used to create classical nonlinear integrable lattices for accelerators and…

Quantum Physics · Physics 2012-05-03 Viatcheslav Danilov , Sergei Nagaitsev

We propose a new solvable class of multidimensional quantum harmonic oscillators for a linear diffusive particle and a quadratic energy absorbing well associated with a semi-definite positive matrix force. Under natural and easily checked…

Probability · Mathematics 2023-07-26 Pierre del Moral , Emma Horton

In a non-equilibrium many-body system, the quantum information dynamics between non-complementary regions is a crucial feature to understand the local relaxation towards statistical ensembles. Unfortunately, its characterization is a…

Statistical Mechanics · Physics 2019-07-31 Vincenzo Alba , Pasquale Calabrese

A one-dimensional quantum mechanical model possessing mass gap, a gapless excitation, and an approximate parity doubling of energy levels is constructed basing on heuristic QCD-inspired arguments. The model may serve for illustrative…

High Energy Physics - Phenomenology · Physics 2010-10-27 S. S. Afonin

Complicated time-dependent curved spacetime and electric field are involved in many astrophysical situations, including the early universe, Hawking radiation, the Schwinger effect, and gravitational pair production. In this Letter, a…

General Relativity and Quantum Cosmology · Physics 2025-02-18 Orkash Amat , Nurimangul Nurmamat , Yong-Feng Huang , Cheng-Ming Li , Jin-Jun Geng , Chen-RanHu , Ze-Cheng Zou , Xiao-Fei Dong , Chen Deng , Fan Xu , Xiao-li Zhang , Chen Du

The paper offers a discrete thermodynamic model of lasers. Laser is an open system; its equilibrium is based on a balance of two thermodynamic forces, one related to the incoming pumping power and another to the emitted light. The basic…

Optics · Physics 2007-05-23 B. Zilbergleyt

A classification of the electromagnetic modes on open and closed spatial domains containing media with piecewise homogeneous permittivities is used to facilitate the derivation of quantum induced Casimir stresses in dielectrics. By directly…

Quantum Physics · Physics 2014-03-13 Shin-itiro Goto , Robin W Tucker , Timothy J Walton

We consider the theoretical description of intense laser pulses propagating through gases. Starting from a first-principles description of both the electromagnetic field and the electron motion within the gas atoms, we derive a hierarchy of…

Plasma Physics · Physics 2018-11-14 Simon Berman , Cristel Chandre , Jonathan Dubois , François Mauger , Maxime Perin , Turgay Uzer

Stochastic reaction-diffusion processes may be presented in terms of integrable quantum chains and can be used to describe various biological and chemical systems. Exploiting the integrability of the models one finds in some cases good…

Condensed Matter · Physics 2007-05-23 Gunter M. Schütz

We assume that the level spectra of quantum systems in the initial phase of transition from integrability to chaos are approximated by superpositions of independent sequences. Each individual sequence is modeled by a random matrix ensemble.…

Statistical Mechanics · Physics 2009-07-14 A. Y. Abul-Magd

Plasma sheaths driven by radio-frequency voltages occur frequently, in contexts ranging from plasma processing applications to magnetically confined fusion experiments. These sheaths are crucial because they dominantly affect impedance,…

Plasma Physics · Physics 2012-12-12 Miles M. Turner , Pascal Chabert

V-type three-level systems, where two excited states share a common ground state, serve as fundamental models for exploring coherent light-matter interactions in a range of quantum systems, from atomic gases to semiconductor nanostructures.…

Quantum Physics · Physics 2026-05-12 Rishabh Tripathi , Krishna K. Maurya , Rohan Singh

It is the purpose of the present article to show that so-called network models, originally designed to describe static properties of disordered electronic systems, can be easily generalized to quantum-{\em dynamical} models, which then…

Disordered Systems and Neural Networks · Physics 2015-06-25 Rochus Klesse , Marcus Metzler

The spatial formation of coherent random laser modes in strongly scattering disordered random media is a central feature in the understanding of the physics of random lasers. We derive a quantum field theoretical method for random lasing in…

Disordered Systems and Neural Networks · Physics 2020-01-22 Andreas Lubatsch , Regine Frank