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Using molecular dynamics simulation, we study structural and dynamical heterogeneities at melting in two-dimensional one-component systems with 36000 particles. Between crystal and liquid we find intermediate hexatic states, where the…

Statistical Mechanics · Physics 2010-04-07 Hayato Shiba , Akira Onuki , Takeaki Araki

The study of structures involving vortices in one component and bright solitary waves in another has a time-honored history in two-component atomic Bose-Einstein condensates. In the present work, we revisit this topic extending…

Pattern Formation and Solitons · Physics 2025-03-24 J. D'Ambroise , W. Wang , C. Ticknor , R. Carretero-González , P. G. Kevrekidis

Several UV complete models of physics beyond the Standard Model are currently under scrutiny, their low-energy dynamics being compared with the experimental data from the LHC. Lattice simulations can play a role in these studies by…

High Energy Physics - Lattice · Physics 2017-02-20 Luigi Del Debbio , Christoph Englert , Roman Zwicky

We study the non-equilibrium dynamics of two component bosonic atoms in a one-dimensional optical lattice in the presence of spin-orbit coupling. In the Mott insulating regime, the two-component bosonic system at unity filling can be…

Quantum Gases · Physics 2015-11-09 H. T. Ng

We consider a rapidly rotating two-component Bose-Einstein condensate with short-range s-wave interactions as well as dipolar coupling. We calculate the phase diagram of vortex lattice structures as a function of the intercomponent s-wave…

Quantum Gases · Physics 2015-06-18 N. Ghazanfari , A. Keleş , M. Ö. Oktel

Three quantitative measures of the spatiotemporal behavior of the coupled map lattices: reduced density matrix, reduced wave function, and an analog of particle number, have been introduced. They provide a quantitative meaning to the…

Chaotic Dynamics · Physics 2014-10-10 Maciej Janowicz , Arkadiusz Orłowski

The correlated non-equilibrium dynamics of few-boson systems in one-dimensional finite lattices is investigated. Starting from weak interactions we perform a sudden interaction quench and employ the numerically exact Multi-Layer…

Quantum Gases · Physics 2017-10-31 S. I. Mistakidis , L. Cao , P. Schmelcher

We introduce an inhomogeneously-nonlinear Schr{\"o}dinger lattice, featuring a defocusing segment, a focusing segment and a transitional interface between the two. We illustrate that such inhomogeneous settings present vastly different…

Pattern Formation and Solitons · Physics 2009-11-11 Debra L. Machacek , Elizabeth A. Foreman , Q. E. Hoq , P. G. Kevrekidis , A. Saxena , D. J. Frantzeskakis , A. R. Bishop

We consider the lattice dynamics in the harmonic approximation for We consider the lattice dynamics in the harmonic approximation for a simple hypercubic lattice with arbitrary unit cell. The initial data are random according to a…

Mathematical Physics · Physics 2007-05-23 T. V. Dudnikova , H. Spohn

We investigate the stability of an attractive Bose-Einstein condensate in a moving 1D optical lattice in the presence of transverse confinement. By means of a Bogoliubov linear stability analysis we find that the system is dynamically…

Other Condensed Matter · Physics 2009-11-13 G. Barontini , M. Modugno

Control of quantum coherence in many-body system is one of the key issues in modern condensed matter. Conventional wisdom is that lattice vibration is an innate source of decoherence, and amounts of research have been conducted to eliminate…

Strongly Correlated Electrons · Physics 2021-01-27 SangEun Han , Junhyun Lee , Eun-Gook Moon

Neutron scattering and ultrasonic methods have been used to study the lattice dynamics of two single crystals of Ni-Mn-In Heusler alloys close to Ni$_{50}$Mn$_{34}$In$_{16}$ magnetic superelastic composition. The paper reports the…

We consider dynamics of a two-component Bose-Einstein condensate where the components correspond to different hyperfine states of the same sort of atoms. External microwave radiation leads to resonant transitions between the states. The…

Quantum Gases · Physics 2014-04-01 Michael Uleysky , Denis Makarov

Systems whose potential energies consists of pieces that scale as r^-2 together with pieces that scale as r^2, show no violent relaxation to Virial equilibrium but may pulsate at considerable amplitude for ever. Despite this pulsation these…

Astrophysics · Physics 2008-11-26 C. Pichon , D. Lynden-Bell , J. Pichon , R. Lynden-Bell

The Kondo-lattice model describes a typical spin-charge coupled system in which localized spins and itinerant electrons are strongly coupled via exchange interactions and exhibits a variety of long-wavelength magnetic orders originating…

Strongly Correlated Electrons · Physics 2025-02-21 Masahito Mochizuki , Rintaro Eto

We perform molecular dynamics simulations on an interacting electron gas confined to a cylindrical surface and subject to a radial magnetic field and the field of the positive background. In order to study the system at lowest energy states…

Statistical Mechanics · Physics 2009-11-07 Vishal Mehra , Jayme De Luca

Recent advances in monochromatic aberration corrected electron microscopy make it possible to detect the lattice vibration with both high-energy resolution and high spatial resolution. Here, we use sub-10 meV electron energy loss…

Materials Science · Physics 2021-03-16 Yuehui Li , Mei Wu , Ning Li , Yuanwei Sun , Chenglong Shi , Xuetao Zhu , Jiandong Guo , Dapeng Yu , Peng Gao

This paper treats the dynamics and scattering of a model of coupled oscillating systems, a finite dimensional one and a wave field on the half line. The coupling is realized producing the family of selfadjoint extensions of the suitably…

Mathematical Physics · Physics 2009-11-11 M. Bertini , D. Noja , A. Posilicano

This paper investigates the dynamics of compact localized modes in one-dimensional flat-band elastic lattices. Flat dispersion arises from destructive interference between neighboring elements, resulting in a zero group velocity across all…

Applied Physics · Physics 2024-12-10 Emanuele Riva , Jacopo Marconi , Francesco Braghin

We derive a general framework, in terms of elastic theory, for describing the distortion of the vortex lattice in a rotating Bose-Einstein condensate at arbitrary rotation speed and determining the dependence of the distortion on the…

Statistical Mechanics · Physics 2015-06-25 Gordon Baym , C. J. Pethick , S. Andrew Gifford , Gentaro Watanabe
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