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The magnetization plateaux in two dimensionally coupled S=1/2 dimerized zigzag Heisenberg chains are investigated by means of the bond operator mean field approximation. In the absence of the interchain coupling, this model is known to have…

Strongly Correlated Electrons · Physics 2007-05-23 Kazuo Hida , Masaru Shiino , Wei Chen

It is nowadays a quite diffuse idea that variations of polarisation in condensed matter theory are related to a "Berry phase". The derivation of the latter geometric phase is correct $\it{only if}$ the restrictive periodic gauge\cite{KS-V}…

Materials Science · Physics 2009-06-26 Simone Selenu

We consider a system made up of N electrons interacting with a neutralizing positive background within a cubic box of volume V. After dividing the box into N (or N/2) cubic cells for the polarized (unpolarized) case, we average the creation…

Strongly Correlated Electrons · Physics 2007-12-11 Salvino Ciccariello

The Greenberger-Horne-Zeilinger (GHZ) argument provides an all-or-nothing contradiction between quantum mechanics and local-realistic theories. In its original formulation, GHZ investigated three and four particles entangled in two…

Quantum Physics · Physics 2018-12-14 Manuel Erhard , Mehul Malik , Mario Krenn , Anton Zeilinger

We study the non-equilibrium dynamics of a quantum spin 1/2 XXZ model confined in a two-dimensional bi-layer system, with couplings mediated by inverse power-law interactions, falling off with distance $r$ as $1/r^{\alpha}$, and…

Quantum Physics · Physics 2024-06-27 Arman Duha , Thomas Bilitewski

We investigate the incorporation of space noncommutativity into field theory by extending to the spectral continuum the minisuperspace action of the quantum mechanical harmonic oscillator propagator with an enlarged Heisenberg algebra. In…

High Energy Physics - Theory · Physics 2008-11-26 Marcos Rosenbaum , J. David Vergara , L. Roman Juarez

We use an integral quantization model based on the Heisenberg-Weyl group to describe the motion of a spinless particle in the Minkowski background spacetime. This work is a sequel to a previous paper, devoted to mathematical aspects of our…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Adam Cieślik , Andrzej Góźdź , Patryk Mach , Aleksandra Pȩdrak , Włodzimierz Piechocki

We investigate the phenomenon of electron-positron pair production from vacuum in the presence of a uniform time-dependent electric field of arbitrary polarization. Taking into account the interaction with the external classical background…

High Energy Physics - Phenomenology · Physics 2024-10-04 I. A. Aleksandrov , A. Kudlis , A. I. Klochai

It is well-known that there exist infinitely-many inequivalent representations of the canonical (anti)-commutation relations of Quantum Field Theory (QFT). A way out, suggested by Algebraic QFT, is to instead define the quantum theory as…

High Energy Physics - Theory · Physics 2016-10-28 Suzanne Lanéry

Quantum Markov Semigroups (QMSs) originally arose in the study of the evolutions of irreversible open quantum systems. Mathematically, they are a generalization of classical Markov semigroups where the underlying function space is replaced…

Mathematical Physics · Physics 2015-09-30 George Androulakis , Matthew Ziemke

The generation of harmonics by atoms interacting with two circularly polarized and frequency related laser fields is addressed through ab initio numerical simulations. A detailed charaterization of a few specific harmonics is given. In…

Atomic Physics · Physics 2009-11-10 F. Ceccherini , N. Davini , D. Bauer , F. Cornolti

We develop a relativistic framework of integral quantization applied to the motion of spinless particles in the four-dimensional Minkowski spacetime. The proposed scheme is based on coherent states generated by the action of the…

General Relativity and Quantum Cosmology · Physics 2025-05-02 Aleksandra Pȩdrak , Andrzej Góźdź , Włodzimierz Piechocki , Patryk Mach , Adam Cieślik

An expression for the partial frequency redistribution (PRD) matrix for line scattering in a two-term atom, which includes the J-state interference between its fine structure line components is derived. The influence of collisions (both…

Solar and Stellar Astrophysics · Physics 2015-06-11 H. N. Smitha , K. N. Nagendra , M. Sampoorna , J. O. Stenflo

The classical Heisenberg model in two spatial dimensions constitutes one of the most paradigmatic spin models, taking an important role in statistical and condensed matter physics to understand magnetism. Still, despite its paradigmatic…

Statistical Mechanics · Physics 2021-12-01 Philipp Schmoll , Augustine Kshetrimayum , Jens Eisert , Roman Orus , Matteo Rizzi

In the framework of geometric quantization we extend the Bohr-Sommerfeld rules to a full quantization theory which resembles Heisenberg's matrix theory. This extension is possible because Bohr-Sommerfeld rules not only provide an orthogonal…

Symplectic Geometry · Mathematics 2012-07-06 Richard Cushman , Jedrzej Sniatycki

We analyse the entanglement generation in a one dimensional scattering process. The two colliding particles have a Gaussian wave function and interact by hard--core repulsion.In our analysis results on the entanglement of two mode Gaussian…

Quantum Physics · Physics 2009-11-13 Frank Schmüser , Dominik Janzing

To describe charged particles interacting with the quantized electromagnetic field, we point out the differences of working in the so-called generalized and the true Coulomb gauges. We find an explicit gauge transformation between them for…

Quantum Physics · Physics 2019-09-18 Robert Zietal , Claudia Eberlein

For states in infinite dimensional Hilbert spaces entanglement quantities like the entanglement of distillation can become infinite. This leads naturally to the question, whether one system in such an infinitely entangled state can serve as…

Quantum Physics · Physics 2007-05-23 M. Keyl , D. Schlingemann , R. F. Werner

We analyze the one dimensional scattering produced by all variations of the P\"oschl-Teller potential, i.e., potential well, low and high barriers. We show that the P\"oschl-Teller well and low barrier potentials have no resonance poles,…

Mathematical Physics · Physics 2017-03-21 D. Cevik , M. Gadella , S. Kuru , J. Negro

Second harmonic generation is a powerful tool directly connected to the symmetry of materials. Phase transitions, lattice rotations or electromagnetic coupling in multiferroic compounds can be revealed by using second harmonic…

Optics · Physics 2010-01-11 Pablo Molina , Mariola O Ramirez , Basilio J. Garcia , Luisa E. Bausa