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The stratified structure of the configuration space $\mb G^N = G \times ... \times G$ reduced with respect to the action of $G$ by inner automorphisms is investigated for $G = SU(3) .$ This is a finite dimensional model coming from lattice…

High Energy Physics - Theory · Physics 2009-11-10 S. Charzyński , J. Kijowski , G. Rudolph , M. Schmidt

We consider a realistic model, i.e., ultracold atoms in a driven optical lattice, to realize phase space crystals [Phys. Rev. Lett. 111, 205303 (2013)]. The corresponding lattice structure in phase space is more complex and contains rich…

Quantum Gases · Physics 2016-02-02 Lingzhen Guo , Michael Marthaler

The phase structure of zero temperature twisted mass lattice QCD is investigated. We find strong metastabilities in the plaquette observable when the untwisted quark mass assumes positive or negative values. We provide interpretations of…

High Energy Physics - Lattice · Physics 2009-11-10 F. Farchioni , R. Frezzotti , K. Jansen , I. Montvay , G. C. Rossi , E. Scholz , A. Shindler , N. Ukita , C. Urbach , I. Wetzorke

Solitons in the fractional space, supported by lattice potentials, have recently attracted much interest. We consider the limit of deep one- and two-dimensional (1D and 2D) lattices in this system, featuring finite bandgaps separated by…

Optics · Physics 2022-01-10 Xiuye Liu , Boris A. Malomed , Jianhua Zeng

We study localized traveling waves and chaotic states in strongly nonlinear one-dimensional Hamiltonian lattices. We show that the solitary waves are super-exponentially localized, and present an accurate numerical method allowing to find…

Pattern Formation and Solitons · Physics 2009-11-13 Karsten Ahnert , Arkady Pikovsky

We study the spectrum and stationary states in a ring-shaped lattice potential in the context of ultracold atoms with attractive interatomic interactions. We determine analytical solutions in the absence of a lattice by mapping them to…

Quantum Gases · Physics 2023-11-28 Jonathan Tekverk , Christopher Siebor , Kunal K. Das

We describe a technique for solving the combined collisionless Boltzmann and Poisson equations in a discretised, or lattice, phase space. The time and the positions and velocities of `particles' take on integer values, and the forces are…

Astrophysics · Physics 2015-06-24 D. Syer , S. Tremaine

This is an informal overview of methods and results on the QCD phase diagram and lattice termodynamics aimed at specialists in nearby fields.

High Energy Physics - Lattice · Physics 2017-08-23 M. -P. Lombardo

We examine here the classical dynamics of cold atoms in square optical lattices, i.e. lattices obtained with two orthogonal stationary plane waves. Contrary to much of the past studies in this domain, the potential is here time independent…

Atomic Physics · Physics 2015-05-13 Daniel Hennequin , Philippe Verkerk

We report on the observation of Bragg scattering at 1D atomic lattices. Cold atoms are confined by optical dipole forces at the antinodes of a standing wave generated by the two counter-propagating modes of a laser-driven high-finesse ring…

Quantum Physics · Physics 2009-11-10 S. Slama , C. von Cube , B. Deh , A. Ludewig , C. Zimmermann , Ph. W. Courteille

We study the process of black brane evaporation through the emission of D-branes. Gravitational solutions describing black branes in asymptotically anti-de Sitter spacetimes, which are holographically dual to field theory states at finite…

High Energy Physics - Theory · Physics 2022-02-22 Oscar Henriksson

We propose a novel scheme for asymmetric light diffraction of a weak probe field into a one-dimensional (1D) and two-dimensional (2D) lattice occupied with cold atoms. The atoms are driven into the double lambda-type configuration by a…

Quantum Physics · Physics 2020-10-12 Ali Akbar Naeimi , Elham Darabi , Ali Mortezapour , Ghasem Naeimi

We investigate stationary, spatially localized patterns in lattice dynamical systems that exhibit bistability. The profiles associated with these patterns have a long plateau where the pattern resembles one of the bistable states, while the…

Dynamical Systems · Mathematics 2022-03-23 Jason J. Bramburger , Bjorn Sandstede

We study theoretically a BEC loaded into an optical lattice in the tight-binding regime, with a second, weak incommensurate lattice acting as a perturbation. We find, using direct diagonalization of small systems and a large scale, number…

Disordered Systems and Neural Networks · Physics 2007-05-23 Nir Bar-Gill , Rami Pugatch , Eitan Rowen , Nadav Katz , Nir Davidson

The evaluation of phase stabilities of unstable elemental phases is a long-standing problem in the computational assessment of phase diagrams. Here we tackle this problem by explicitly calculating phase diagrams of intermetallic systems…

Materials Science · Physics 2016-09-20 Shmuel Barzilai , Cormac Toher , Stefano Curtarolo , Ohad Levy

We study numerically how the energy spreads over a finite disordered nonlinear one-dimensional lattice, where all linear modes are exponentially localized by disorder. We establish emergence of dynamical thermalization, characterized as an…

Disordered Systems and Neural Networks · Physics 2009-12-02 Mario Mulansky , Karsten Ahnert , Arkady Pikovsky , Dima L. Shepelyansky

We study self-trapped localized nonlinear states in the form of truncated Bloch waves in one-dimensional optical lattices, which appear in the gaps of the linear bandgap spectrum. We demonstrate the existence of families of such localized…

Atomic Physics · Physics 2015-05-13 Jiandong Wang , Jianke Yang , Tristram J. Alexander , Yuri S. Kivshar

We study the Gregory-Laflamme instability of a large uniform black brane wrapping a two-sphere compactification manifold. This paper extends the work arXiv:hep-th/0604015, where the compactifications on p-torus were considered. The new…

High Energy Physics - Theory · Physics 2015-06-11 Andrei Khmelnitsky

We construct multi-center solutions for charged, dilatonic, non-extremal black holes in D=4. When an infinite array of such non-extremal black holes are aligned periodically along an axis, the configuration becomes independent of this…

High Energy Physics - Theory · Physics 2009-07-09 H. Lu. C. N. Pope , K. -W. Xu

All the models of elementary particles and their interactions derived from String Theory involve a compact six-dimensional internal space. Its volume and shape should be fixed or stabilized, since otherwise massless scalar fields (moduli)…

High Energy Physics - Theory · Physics 2015-06-23 Noriaki Kitazawa