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The nonlinear coherent interaction of light with the dispersive and Kerr-type third-order susceptibility medium containing optical impurity atoms or semiconductor quantum dots is considered. Using the generalized perturbation reduction…

Pattern Formation and Solitons · Physics 2020-04-23 G. T. Adamashvili

Results are presented from numerical simulations of the flat-space nonlinear Maxwell-Klein-Gordon-Dirac equations. The introduction of a boson-fermion interaction allows a scalar vortex to act as a harmonic trap that can confine massive…

High Energy Physics - Phenomenology · Physics 2025-12-10 Ethan P. Honda

The quantum dynamics of a subset of interacting bosons in a subspace of fixed particle number is described in terms of symmetrized many-particle states. A suitable partial trace operation over the von Neumann equation of an $N$-particle…

Quantum Physics · Physics 2018-02-21 Manuel Gessner , Andreas Buchleitner

The aim of this paper is to clarify the conceptual difference which exists between the interactions of composite bosons and the interactions of elementary bosons. A special focus is made on the physical processes which are missed when…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Combescot , O. Betbeder-Matibet

This article concerns a phenomenon of elementary quantum mechanics that is quite counter-intuitive, very non-classical, and apparently not widely known: a quantum particle can get reflected at a downward potential step. In contrast,…

Quantum Physics · Physics 2011-12-09 Pedro L. Garrido , Sheldon Goldstein , Jani Lukkarinen , Roderich Tumulka

A system of identical bosons with short-range (contact) interactions is studied. Their motion is confined to one dimension by a tight lateral trapping potential and, additionally, subject to a weak harmonic confinement in the longitudinal…

Quantum Gases · Physics 2015-05-20 Igor E. Mazets

Extended Wigner's friend no-go theorems provide a modern lens for investigating the measurement problem, by making precise the challenges that arise when one attempts to model agents as dynamical quantum systems. Most such no-go theorems…

Quantum Physics · Physics 2025-11-18 Laurens Walleghem , Rafael Wagner , Yìlè Yīng , David Schmid

We explore mechanisms of interferences under which the spin-independent interaction in the scattering of scalar dark matter with nucleus is suppressed. We offer a detailed derivation of the nuclear amplitudes based on the interactions with…

High Energy Physics - Phenomenology · Physics 2016-05-19 R. Martinez , F. Ochoa

Several recent works on quantum criticality beyond the Landau-Ginzburg-Wilson paradigm have led to a number of field theories, potentially important for certain two-dimensional magnetic insulating systems, where criticality is not very well…

Strongly Correlated Electrons · Physics 2009-05-28 Michael Hermele

The so-called Klein tunneling is re-examined within the framework of quantum field theory, but from a different point of view on the asymptotic states. We treat it as a one-dimensional scattering process of a fermion incident to a step…

High Energy Physics - Theory · Physics 2025-10-01 H. Nakazato , M. Ochiai

We study the solutions for a one-dimensional electrostatic potential in the Dirac equation when the incoming wave packet exhibits the Klein paradox (pair production). With a barrier potential we demonstrate the existence of multiple…

High Energy Physics - Theory · Physics 2009-11-11 Stefano De Leo , Pietro Rotelli

The role of gauge invariance is reconsidered by "deriving it without assuming it" within an autonomous approach to interactions of Standard Model particles. In this approach, the renormalizable interactions are purely constrained by quantum…

High Energy Physics - Theory · Physics 2026-05-26 Karl-Henning Rehren

The uniqueness of the Bohmian particle interpretation of the Kemmer equation, which describes massive spin-0 and spin-1 particles, is discussed. Recently the same problem for spin-1/2 was dealt with by Holland. It appears that the…

Quantum Physics · Physics 2007-07-03 W. Struyve , W. De Baere , J. De Neve , S. De Weirdt

In this article we consider a system of two Klein-Gordon equations, set on the $d$-dimensional box of size $L$, coupled through quadratic semilinear terms of strength $\varepsilon$ and evolving from well-prepared random initial data. We…

Analysis of PDEs · Mathematics 2025-04-01 Anne-Sophie de Suzzoni , Annalaura Stingo , Arthur Touati

We discuss the problem of hidden variables and the motivation for introducting them in quantum mechanics. These include determinism, and the problem of meassurement and incompleteness. We first discuss Von-Neumann's imposisbility proof and…

Quantum Physics · Physics 2007-05-23 Virendra Singh

Understanding how the dynamics of a given quantum system with many degrees of freedom is altered by the presence of a generic perturbation is a notoriously difficult question. Recent works predict that, in the overwhelming majority of…

Statistical Mechanics · Physics 2021-12-01 Tjark Heitmann , Jonas Richter , Jochen Gemmer , Robin Steinigeweg

We demonstrate that Casimir forces associated with zero-point fluctuations of quantum vacuum may be substantially affected by the presence of dynamical topological defects. In order to illustrate this nonperturbative effect we study the…

High Energy Physics - Lattice · Physics 2017-04-26 M. N. Chernodub , V. A. Goy , A. V. Molochkov

The influence of a Lorentz-violating fixed background on fermions is considered by means of a torsion-free non-minimal coupling. The non-relativistic regime is assessed and the Lorentz-violating Hamiltonian is determined. The effect of this…

High Energy Physics - Theory · Physics 2009-11-11 H. Belich , T. Costa-Soares , M. M. Ferreira , J. A. Helayel-Neto , F. M. O. Mouchereck

We investigate the problem of detecting dependencies between the components of a high-dimensional vector. Our approach advances the existing literature in two important respects. First, we consider the problem under privacy constraints.…

Statistics Theory · Mathematics 2026-03-24 Patrick Bastian , Holger Dette , Martin Dunsche

Vortex lines in superconductors in an external magnetic field slightly tilted from randomly-distributed parallel columnar defects can be modeled by a system of interacting bosons in a non-Hermitian vector potential and a random scalar…

Superconductivity · Physics 2009-11-07 Kihong Kim , David R. Nelson
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