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Electrons moving through a spatially periodic lattice potential develop a quantized energy spectrum consisting of discrete Bloch bands. In two dimensions, electrons moving through a magnetic field also develop a quantized energy spectrum,…

Mesoscale and Nanoscale Physics · Physics 2013-05-17 C. R. Dean , L. Wang , P. Maher , C. Forsythe , F. Ghahari , Y. Gao , J. Katoch , M. Ishigami , P. Moon , M. Koshino , T. Taniguchi , K. Watanabe , K. L. Shepard , J. Hone , P. Kim

It is shown that the total energy of the vacuum fluctuations of the electron-positron and electromagnetic fields in the quantum electrodynamics can be equal to zero if the "bare" electron charge is chosen by adequate way. The value of…

General Physics · Physics 2014-03-07 I. D. Feranchuk , S. I. Feranchuk

We consider a scalar QED model for the frictional force and the momentum fluctuations of a polarizable particle in thermal equilibrium with radiation or in hyperbolic motion in a vacuum. In the former case the loss of particle kinetic…

Quantum Physics · Physics 2023-11-09 Kanu Sinha , Peter W. Milonni

I revisit the problem of a charged particle on a two-dimensional lattice immersed in a constant (electro)magnetic field, and discuss the energy spectrum - Hofstadter's butterfly - from a new, quantum field theoretical perspective. In…

High Energy Physics - Lattice · Physics 2014-10-30 G. Endrodi

We study the energy spectrum and the quantized Hall conductance of electrons in a two-dimensional periodic potential with perpendicular magnetic field WITHOUT neglecting the coupling of the Landau bands. Remarkably, even for weak Landau…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Springsguth , R. Ketzmerick , T. Geisel

Recent experimental progress in the creation of synthetic electric and magnetic fields, acting on cold atoms in a two-dimensional lattice, has attracted renewed interest to the problem of a quantum particle in the Hall configuration. The…

Quantum Physics · Physics 2014-06-03 Andrey R. Kolovsky , Giorgio Mantica

A model for quantum dots is proposed, in which the motion of a few electrons in a three-dimensional harmonic oscillator potential under the influence of a homogeneous magnetic field of arbitrary direction is studied. The spectrum and the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 W. D. Heiss , R. G. Nazmitdinov

We study the phenomenon of wave packet revivals of Bloch electrons and explore how to control them by a magnetic field for quantum information transfer. It is showed that the single electron system can be modulated into a linear dispersion…

Quantum Physics · Physics 2009-11-11 S. Yang , Z. Song , C. P. Sun

We apply the Basis Light-Front Quantization (BLFQ) approach to the Hamiltonian field theory of Quantum Electrodynamics (QED) in free space. We solve for the mass eigenstates corresponding to an electron interacting with a single photon in…

High Energy Physics - Phenomenology · Physics 2015-05-30 Xingbo Zhao , Heli Honkanen , Pieter Maris , James P. Vary , Stanley J. Brodsky

Bloch oscillations, the oscillatory motion of a quantum particle in a periodic potential, are one of the most fascinating effects of coherent quantum transport. Originally studied in the context of electrons in crystals, Bloch oscillations…

Geometric analogs of Bloch oscillations studied so far have relied on Berry curvature. We show that a weakly inhomogeneous electric field adds a distinct quantum-metric term to semiclassical wavepacket dynamics, generating an oscillatory…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 M. Maneesh Kumar , Md Kaif Faiyaz , Sayan Sarkar , Amit Agarwal

The quantization of optical fields in vacuum has been known for decades, but extending the field quantization to lossy and dispersive media in nonequilibrium conditions has proven to be complicated due to the position-dependent electric and…

Quantum Physics · Physics 2017-02-13 Mikko Partanen , Teppo Häyrynen , Jani Oksanen , Jukka Tulkki

We consider a simple nonlinear (quartic in the fields) gauge-invariant modification of classical electrodynamics, which possesses a regularizing ability sufficient to make the field energy of a point charge finite. The model is exactly…

High Energy Physics - Theory · Physics 2013-12-03 Caio V. Costa , Dmitri M. Gitman , Anatoly E. Shabad

I propose that quantum mechanics is a stochastic theory and quantum phenomena derive from the existence of real vacuum stochastic fields filling space. I revisit stochastic electrodynamics (SED), a theory that studies classical systems of…

Quantum Physics · Physics 2022-08-30 Emilio Santos

We question the use of stable asymptotic scattering states in QED of strong magnetic fields. To correctly describe excited Landau states and photons above the pair creation threshold the asymptotic fields are chosen as generalized Licht…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Kachelriess

An effective model for describing the relativistic quantum dynamics of a radiating electron is developed via a relativistic generalization of the Lindblad master equation. By incorporating both radiation reaction and vacuum fluctuations…

Quantum Physics · Physics 2026-01-01 Andre G. Campos , Karen Z. Hatsagortsyan , Christoph H. Keitel

Quantum walks are processes that model dynamics in coherent systems. Their experimental implementations proved key to unveil novel phenomena in Floquet topological insulators. Here we realize a photonic quantum walk in the presence of a…

Mesoscale and Nanoscale Physics · Physics 2021-03-11 Alessio D'Errico , Raouf Barboza , Rebeca Tudor , Alexandre Dauphin , Pietro Massignan , Lorenzo Marrucci , Filippo Cardano

We have recently developed a quantized fluctuational electrodynamics (QFED) formalism to describe the quantum aspects of local thermal balance formation and to formulate the electromagnetic field ladder operators so that they no longer…

Quantum Physics · Physics 2015-09-23 Mikko Partanen , Teppo Häyrynen , Jukka Tulkki , Jani Oksanen

We present for the first time the nonlinear dynamics of quantum electrodynamic (QED) photon splitting in a strongly magnetized electron-positron (pair) plasma. By using a QED corrected Maxwell equation, we derive a set of equations that…

Astrophysics · Physics 2008-11-26 G. Brodin , M. Marklund , B. Eliasson , P. K. Shukla

We present a general quantum kinetic theory that accounts for the interplay between a temperature gradient, momentum-space Berry curvatures of Bloch electrons, and Bloch-state scattering. Using a theory that incorporates the presence of a…

Mesoscale and Nanoscale Physics · Physics 2020-04-24 Akihiko Sekine , Naoto Nagaosa