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Related papers: On atomic analogue of Landau quantization

200 papers

We investigate the two-dimensional motion of relativistic cold electrons in the presence of `strictly' spatially varying magnetic fields satisfying, however, no magnetic monopole condition. We find that the degeneracy of Landau levels,…

Quantum Physics · Physics 2021-10-22 Srishty Aggarwal , Banibrata Mukhopadhyay , Gianluca Gregori

An atomic analogue of Landau quantization based on the Aharonov-Casher (AC) interaction is developed. The effect provides a first step towards an atomic quantum Hall system using electric fields, which may be realized in a Bose-Einstein…

Quantum Physics · Physics 2009-11-07 Marie Ericsson , Erik Sjoqvist

We study ultracold atom-ion collisions in the presence of an external magnetic field. At low collision energy the field can drastically modify the translational motion of the ion, which follows quantized cyclotron orbits. We present a…

Quantum Gases · Physics 2015-05-28 Andrea Simoni , Jean-Michel Launay

The spectrum of charged particles in translation-invariant systems in a magnetic field is characterized by the Landau levels, which play a fundamental role in the thermodynamic and transport properties of solids. The topological nature and…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Isac Sahlberg , Moein N. Ivaki , Kim Pöyhönen , Teemu Ojanen

We propose classical equations of motion for a charged particle with magnetic moment, taking radiation reaction into account. This generalizes the Landau-Lifshitz equations for the spinless case. In the special case of spin-polarized motion…

High Energy Physics - Theory · Physics 2012-07-05 Arnab Kar , S. G. Rajeev

Quantum correlations between two neighbor atoms are studied. It is assumed that one atomic system comprises a single auto-ionizing level and the other atom does not contain any auto-ionizing level. The excitation of both atoms is achieved…

Quantum Physics · Physics 2015-06-22 Vlasta Peřinová , Antonín Lukš , Jaromír Křepelka , Jan Peřina

We consider a system of two interacting particles with like but unequal charges in a magnetic field in the planar geometry. We construct a complete basis of states compatible with both the axial symmetry and magnetic translations. The basis…

Mesoscale and Nanoscale Physics · Physics 2007-06-12 A. B. Dzyubenko , A. R. Todd

We investigate the effects of the electromagnetic vacuum field on a harmonically bound electron. We show that in the electric-dipole approximation the model atom couples only to an effective one-dimensional electric field. In a simplified…

Quantum Physics · Physics 2024-04-22 Stephen M. Barnett , James D. Cresser , Sarah Croke

We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to uniquely determine the density of atoms from measurements of…

Analysis of PDEs · Mathematics 2026-02-03 Matti Lassas , Medet Nursultanov , Lauri Oksanen , John C. Schotland

The eletromagnetic field in a linear absorptive dielectric medium, is quantized in the framework of the damped polarization model. A Hamiltonian containing a reservoir with continuous degrees of freedom, is proposed. The reservoir minimally…

Quantum Physics · Physics 2007-05-23 F. Kheirandish , M. Amooshahi

A simple model of an atom interacting with the quantized electromagnetic field is studied. The atom has a finite mass $m$, finitely many excited states and an electric dipole moment, $\vec{d}_0 = -\lambda_{0} \vec{d}$, where $\| d^{i}\| =…

Mathematical Physics · Physics 2015-05-20 Miguel Ballesteros , Jérémy Faupin , Jürg Fröhlich , Baptiste Schubnel

We show that the de Haas van Alphen effect can be induced in a two dimensional atomic gas by the He-McKellar-Wilkens interaction mediated via an electric dipole moment. Under an appropriate field-dipole configuration, we show that the…

Quantum Gases · Physics 2017-08-02 Bruno Farias , Claudio Furtado

We present the results of our quantum annealing computations of the permanent electric dipole moments of several molecules. By applying an electric field as a perturbation and measuring the corresponding energy responses, the molecular…

Quantum Physics · Physics 2025-12-08 Pradyot Pritam Sahoo , V. S. Prasannaa , B. P. Das

We consider a bound system of particles interacting via electromagnetic forces in an external electromagnetic field, including leading relativistic corrections. Each particle has a definite mass, charge, spin, and charge radius. We…

Atomic Physics · Physics 2015-06-22 Albert Wienczek , Mariusz Puchalski , Krzysztof Pachucki

It is well established that the Hilbert space for charged particles in a plane subject to a uniform magnetic field can be described by two mutually commuting ladder algebras. We propose a similar formalism for Landau level quantization…

Strongly Correlated Electrons · Physics 2011-03-22 Martin Greiter

Within the context of Lorentz violating extended electrodynamics, we study an analog of Landau quantization for a system where a neutral particle moves in the presence of an electromagnetic field and a constant four-vector that breaks…

High Energy Physics - Theory · Physics 2008-08-14 E. Passos , L. R. Ribeiro , C Furtado , J. R. Nascimento

The problem of diamagnetism, solved by Landau, continues to pose fascinating issues which have relevance even today. These issues relate to inherent quantum nature of the problem, the role of boundary and dissipation, the meaning of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Dattagupta , A. M. Jayannavar , N. Kumar

Landau's theory of electron motion in stationary magnetic fields is extended to the inclusion of bouncing along the field between mirror points in an inhomogeneous field. The problem can be treated perturbation theoretically. As expected,…

Quantum Physics · Physics 2013-05-07 R. A. Treumann , W. Baumjohann

We present a simple argument confirming the spontaneous quantum condensation of an electromagnetic field in matter in the case of a multi-level atomic system coupled to a single-mode electromagnetic field in the dipole approximation. The…

General Physics · Physics 2024-03-22 Luca Gamberale , Daniele Garbelli

Physics of two-dimensional electron gases under perpendicular magnetic field often displays three distinct stages when increasing the field amplitude: a low field regime with classical magnetotransport, followed at intermediate field by a…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Thierry Champel , Serge Florens