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We study relation between T-duality and integrability. We develop the Hamiltonian formalism for principal chiral model on general group manifold and on its T-dual image. We calculate the Poisson bracket of Lax connections in T-dual model…

High Energy Physics - Theory · Physics 2009-07-24 J. Kluson

We investigate the phases of a Bose-Einstein condensate of dipolar atoms restricted to move in a two-dimensional plane. The dipole moments are all aligned in a direction tilted with respect to the plane normal. As a result of the attractive…

Quantum Gases · Physics 2024-05-29 Clemens Staudinger , Diana Hufnagl , Ferran Mazzanti , Robert E. Zillich

We investigate a few-body mixture of two bosonic components, each consisting of two particles confined in a quasi one-dimensional harmonic trap. By means of exact diagonalization with a correlated basis approach we obtain the low-energy…

Quantum Gases · Physics 2018-01-12 Maxim Pyzh , Sven Krönke , Christof Weitenberg , Peter Schmelcher

For strongly interacting bosons in optical lattices the standard description using Bose-Hubbard model becomes questionable. The role of excited bands becomes important. In such a situation we compare results of simulations using multiband…

Quantum Physics · Physics 2014-05-07 Jan Major , Mateusz Łącki , Jakub Zakrzewski

We study generalized electric/magnetic duality in Abelian gauge theory by combining techniques from locally covariant quantum field theory and Cheeger-Simons differential cohomology on the category of globally hyperbolic Lorentzian…

High Energy Physics - Theory · Physics 2017-01-12 Christian Becker , Marco Benini , Alexander Schenkel , Richard J. Szabo

The soldering mechanism is a new technique to work with distinct manifestations of dualities that incorporates interference effects, leading to new physical results that includes quantum contributions. This approach was used to investigate…

High Energy Physics - Theory · Physics 2007-05-23 Clovis Wotzasek

We consider a model of a one-dimensional Bose gas with attraction. We study ground state equal-time correlation functions in this model using the algebraic Bethe ansatz. In cases of strong interaction or/and large-volume systems, we obtain…

Mathematical Physics · Physics 2024-06-14 N. A. Slavnov

Understanding the role of correlations in quantum systems is both a fundamental challenge as well as of high practical relevance for the control of multi-particle quantum systems. Whereas a lot of research has been devoted to study the…

Quantum Physics · Physics 2015-07-16 Ángel Rivas , Markus Müller

We explore the hydrodynamic analogues of quantum wave-particle duality in the context of a bouncing droplet system which we model in such a way as to promote comparisons to the de Broglie-Bohm interpretation of quantum mechanics. Through…

We show that two-atom correlation measurements of the type involved in a recent experimental study of the evolution of a mesoscopic superposition state prepared in a definite mode of a high-Q cavity can be used to determine the eigenvalues…

Quantum Groups can be constructed by applying the quantization by deformation procedure to Lie groups endowed with a suitable Poisson bracket. Here we try to develop an understanding of these structures by investigating dynamical systems…

High Energy Physics - Theory · Physics 2009-10-22 F. Lizzi , G. Marmo , G. Sparano , P. Vitale

We study duality properties of actions for chiral boson fields in various space-time dimensions using D=2 and D=6 cases as examples. As a result we get dual covariant formulations of chiral bosons.

High Energy Physics - Theory · Physics 2007-05-23 Alexey Maznytsia , Christian R. Preitschopf , Dmitri Sorokin

We show that an unambiguous and correct quantization of the second-class constrained system of a free particle on a sphere in $D$ dimensions is possible only by converting the constraints to abelian gauge constraints, which are of first…

Quantum Physics · Physics 2009-10-30 Hagen Kleinert , Sergei V. Shabanov

To remedy the failure of minimal coupling method in describing the quantum dynamics of two localized Brownian oscillators interacting with a common medium, a scheme is introduced to modeling the medium by a continuum of complex scalar…

Quantum Physics · Physics 2017-08-02 Z. Nasr , F. Kheirandish

Using the Dirac-Frenkel variational principle, a time-dependent description of the dynamics of a two-level system coupled to a bosonic bath is formulated. The method is applied to the case of a gas of cold atoms adsorbing to an elastic…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Dennis P. Clougherty

We numerically examine slow and hierarchical relaxation dynamics of interacting bosons described by a tilted two-band Bose-Hubbard model. The system is found to exhibit signatures of quantum chaos within the spectrum and the validity of the…

Quantum Gases · Physics 2018-04-19 Jayson G. Cosme

We use the Bose-Hubbard model with an effective infinite-range interaction to describe the correlated lattice bosons in an optical cavity. We study both static and spectral properties of such system within the bosonic dynamical mean-field…

Quantum Gases · Physics 2017-03-08 Jaromir Panas , Anna Kauch , Krzysztof Byczuk

We consider a mathematical model which describes the quasistatic frictionless contact of a viscoelastic body with a rigid-plastic foundation. We describe the mechanical assumptions, list the hypotheses on the data and provide three…

Analysis of PDEs · Mathematics 2023-09-11 Piotr Bartman , Anna Ochal , Mircea Sofonea

We examine the origin of Bloom-Gilman duality and the relationship between resonances and scaling in deep-inelastic scattering. A simple quantum mechanical model is used to illustrate the essential features of Bloom-Gilman duality at low…

High Energy Physics - Phenomenology · Physics 2014-11-17 W. Melnitchouk

Owing to its numerical simplicity, a two-dimensional two-electron model atom, with each electron moving in one direction, is an ideal system to study non-perturbatively a fully correlated atom exposed to a laser field. Frequently made…

Atomic Physics · Physics 2009-10-30 D. Bauer
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