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In the present article, we consistently develop the main issues of the Bloch vectors formalism for an arbitrary finite-dimensional quantum system. In the frame of this formalism, qudit states and their evolution in time, qudit observables…

Quantum Physics · Physics 2024-01-30 Elena R. Loubenets , Maxim S. Kulakov

A non-perturbative and exactly solvable quantum field theoretical model for a "dressed Dirac field" is presented, that exhibits all the kinematical features of QED: an appropriate delocalization of the charged field as a prerequisite for…

High Energy Physics - Theory · Physics 2022-04-19 Jens Mund , Karl-Henning Rehren , Bert Schroer

Quantum electrodynamics (QED) is a cornerstone of particle physics and also finds diverse applications in condensed matter systems. Despite its significance, the dynamics of quantum electrodynamics under a quantum quench remains…

Statistical Mechanics · Physics 2023-12-22 Ming-Rui Li , Shao-Kai Jian

Born-Infeld non-linear electrodynamics was introduced to render the self energy of a point particle finite. It has recently been revived as a field theory for branes and strings. We quantize this theory on a Euclidean space-time lattice,…

High Energy Physics - Lattice · Physics 2016-09-01 D. K. Sinclair , J. B. Kogut

In this work, I analyze the quantum fluctuations and the thermal fluctuations in the framework of quantum mechanics. Being recognized as incoherent perturbations with different features, fluctuations of these two types lead to dissipative…

Quantum Physics · Physics 2025-06-12 Weitao Liu

We formulate a full quantum mechanical theory of the interaction between electromagnetic modes in photonic crystal slabs and quantum well excitons embedded in the photonic structure. We apply the formalism to a high index dielectric layer…

Soft Condensed Matter · Physics 2009-11-10 D. Gerace , M. Agio , L. C. Andreani

We summarise and discuss some of our previous results, which show that Bohr's theory of the one-electron atom may be derived from the theory underpinning Quantum ElectroDynamics (QED) or vice versa, and that General Relativity may also be…

General Physics · Physics 2007-05-23 Sarah B. M. Bell

We investigate to which extent a many-body Bloch-Redfield master equation description of quantum transport is consistent with the exact generalized equilibrium conditions known as exchange fluctuation theorems. Thereby we identify a class…

Mesoscale and Nanoscale Physics · Physics 2014-05-23 Robert Hussein , Sigmund Kohler

Quantum electrodynamics (QED) provides a highly accurate description of phenomena involving the interaction of atoms with light. We argue that the quantum theory describing the interaction of cold atoms with a vibrating membrane--quantum…

Mesoscale and Nanoscale Physics · Physics 2017-05-29 Dennis P. Clougherty , Sanghita Sengupta

Cavity modification of material properties and phenomena is a novel research field largely motivated by the advances in strong light-matter interactions. Despite this progress, exact solutions for extended systems strongly coupled to the…

Quantum Physics · Physics 2022-01-13 Vasil Rokaj , Michael Ruggenthaler , Florian G. Eich , Angel Rubio

We extend our theory of Bloch oscillations of cold atoms inside an optical cavity [ Venkatesh et al. Phys. Rev. A 80 063834 (2009)] to include the effects of quantum noise arising from coupling to external modes. The noise acts as a form of…

Quantum Physics · Physics 2013-07-31 B. Prasanna Venkatesh , D. H. J. O'Dell

The exact nonlinear response of noninteracting (Bloch) electrons is examined within a nonequilibrium formalism on the infinite-dimensional hypercubic lattice. We examine the effects of a spatially uniform, but time-varying electric field…

Statistical Mechanics · Physics 2009-11-10 V. Turkowski , J. K. Freericks

The semi-classical Bloch-Boltzmann theory is at the heart of our understanding of conduction in solids, ranging from metals to semi-conductors. Physical systems that are beyond the range of applicability of this theory are thus of…

Materials Science · Physics 2007-12-18 Didier Mayou , Guy Trambly De Laissardière

The realization of synthetic gauge fields for charge neutral ultracold atoms and the simulation of quantum Hall physics has witnessed remarkable experimental progress. Here, we establish key signatures of fractional quantum Hall systems in…

Quantum Gases · Physics 2025-06-17 Caterina Zerba , Alexander Seidel , Frank Pollmann , Michael Knap

Cyclotron motion of charge carriers in metals and semiconductors leads to Landau quantization and magneto-oscillatory behavior in their properties. Cryogenic temperatures are usually required to observe these oscillations. We show that…

We study some aspects of the quantum theory of a charged particle moving in a time-independent, uni-directional magnetic field. When the field is uniform, we make a few clarifying remarks on the use of angular momentum eigenstates and…

High Energy Physics - Theory · Physics 2009-11-10 A. Das , J. Frenkel , S. H. Pereira , J. C. Taylor

In this paper, we evaluate the electromagnetic and gravitational form factors as well as the corresponding generalized parton distributions of the electron using the Basis Light-front Quantization approach to QED. We compare our results…

High Energy Physics - Phenomenology · Physics 2024-05-28 Lingdi Meng , Shuo Tang , Zhi Hu , Guo-Li Wang , Yang Li , Xingbo Zhao , James P. Vary

A nonperturbative method for the solution of quantum field theories is described in the context of quantum electrodynamics and applied to the calculation of the electron's anomalous magnetic moment. The method is based on light-front…

High Energy Physics - Phenomenology · Physics 2011-02-01 S. S. Chabysheva

In the presence of a magnetic field and an external periodic potential, the Landau level spectrum of a two-dimensional electron gas exhibits a fractal pattern in the energy spectrum which is described as the Hofstadter's butterfly. In this…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Wenchen Luo , Tapash Chakraborty

The Landau levels of scalar QED undergo continuous transitions under a homogeneous, time-dependent magnetic field. We analytically formulate the Klein-Gordon equation for a charged spinless scalar as a Cauchy initial value problem in the…

High Energy Physics - Theory · Physics 2015-06-15 Sang Pyo Kim