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The present work reports on the dynamical measures of order, disorder and complexity for the interacting bosons in optical lattice. We report results both for the relaxed state as well as quench dynamics. Our key observations are: (1)…

Quantum Gases · Physics 2023-06-23 Rhombik Roy , Barnali Chakrabarti , N. D. Chavda , M. L. Lekala

The superfluidity of Bose-Einstein condensates in optical lattices are investigated. Apart from the usual Landau instability which occurs when a BEC flows faster than the speed of sound, the BEC can also suffer a dynamical instability,…

Condensed Matter · Physics 2009-10-31 Biao Wu , Qian Niu

The vortex lattice in a Type II superconductor provides a versatile model system to investigate the order-disorder transition in a periodic medium in the presence of random pinning. Here, using scanning tunnelling spectroscopy in a weakly…

We investigate the dynamical properties of a strongly disordered micropolar lattice made up of cubic block units. This phononic lattice model supports both transverse and rotational degrees of freedom hence its disordered variant posses an…

Pattern Formation and Solitons · Physics 2020-08-12 A. Ngapasare , G. Theocharis , O. Richoux , Ch. Skokos , V. Achilleos

Weakly coupled semiconductor superlattices under dc voltage bias are nonlinear systems with many degrees of freedom whose nonlinearity is due to sequential tunneling of electrons. They may exhibit spontaneous chaos at room temperature and…

Mesoscale and Nanoscale Physics · Physics 2022-11-29 Luis L. Bonilla , Manuel Carretero , Emanuel Mompó

Two-dimensional spatial solitonic lattices are generated and investigated experimentally and numerically in an SBN:Ce crystal. An enhanced stability of these lattices is achieved by exploiting the anisotropy of coherent soliton interaction,…

Pattern Formation and Solitons · Physics 2007-05-23 M. Petrovic , D. Traeger , A. Strinic , M. Belic , J. Schroeder , C. Denz

We consider atoms in two different periodic potentials induced by different lasers, one of which is coupled to a mechanical membrane via radiation pressure force. The atoms are intrinsically two-level systems that can absorb or emit…

Quantum Physics · Physics 2022-09-14 Xingran Xu , Tanjung Krisnanda , Timothy C. H. Liew

A mesoscopic system of indirect dipolar bosons trapped by a harmonic potential is considered. The system has a number of physical realizations including dipole excitons, atoms with large dipolar moment, polar molecules, Rydberg atoms in…

Quantum Gases · Physics 2015-05-28 A. E. Golomedov , G. E. Astrakharchik , Yu. E. Lozovik

Smectic materials represent a unique state between fluids and solids, characterized by orientational and partial positional order, making them notoriously difficult to model, particularly in confining geometries. We propose a complex order…

Soft Condensed Matter · Physics 2023-03-22 Jack Paget , Marco G. Mazza , Andew J. Archer , Tyler N. Shendruk

We study the pattern formation in a lattice of coupled phase oscillators with quenched disorder. In the synchronized regime concentric waves can arise, which are induced and increase in regularity by the disorder of the system. Maximal…

Disordered Systems and Neural Networks · Physics 2009-11-11 Bernd Blasius , Ralf Toenjes

We consider a dipolar Bose-Einstein condensate trapped in an array of two-well systems with an arbitrary orientations of the dipoles relative to the system's axis. The system can be built as a chain of local traps sliced into two parallel…

Quantum Gases · Physics 2017-04-05 Zhiwei Fan , Yuhan Shi , Yan Liu , Wei Pang , Yongyao Li , Boris A. Malomed

We use a lattice model of a ternary mixture containing saturated and unsaturated lipids with cholesterol (Chol), to study the structural properties characterizing the coexistence between the liquid-disordered and liquid-ordered phases.…

Soft Condensed Matter · Physics 2023-10-24 Tanmoy Sarkar , Oded Farago

We derive the Bosonic Dynamical Mean-Field equations for bosonic atoms in optical lattices with arbitrary lattice geometry. The equations are presented as a systematic expansion in 1/z, z being the number of lattice neighbors. Hence the…

Quantum Gases · Physics 2013-07-22 Michiel Snoek , Walter Hofstetter

Photonic crystals are extremely sensitive to structural disorder even to the point of completely losing their functionalities. While on one side this can be detrimental for applications in traditional optical devices, on the other side, it…

Optics · Physics 2015-05-20 P. D. Garcia , R. Sapienza , C. Toninelli , C. Lopez , D. S. Wiersma

The recent progress towards production of near-ground state quantum-degenerate molecules raises the issue of how such "small" molecules behave in an optical lattice. In this Letter we show that the coupling of the molecular orientation to…

Other Condensed Matter · Physics 2007-07-09 J. R. Holt , J. M. F. Gunn

We have performed a systematic study quantifying the variation of solitary wave behavior from that of an ordered cloud resembling a "crystalline" configuration to that of a disordered state that can be characterized as a soliton "gas". As…

Pattern Formation and Solitons · Physics 2015-03-18 Wenlong Wang , P. G. Kevrekidis

We study a harmonic triangular lattice, which relaxes in the presence of a weak, short-wavelength periodic potential. Monte Carlo simulations reveal that the elastic lattice has only short-ranged positional correlations, despite the absence…

Condensed Matter · Physics 2007-05-23 Ronald Dickman , Eugene M. Chudnovsky

We show that sublattice-polarized states (SLPSs) appear ubiquitously on the common lattices. We first establish the destructive-interference (DI) scenario for the SLPSs, which is systematized by a point-group-symmetry interpretation. The…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Yu-Ping Lin

We investigate how imposing kinetic restrictions on quantum particles that would otherwise hop freely on a two-dimensional lattice can lead to topologically ordered states. The kinetically constrained models introduced here are derived as a…

Strongly Correlated Electrons · Physics 2015-04-21 Stefanos Kourtis , Claudio Castelnovo

In a numerical investigation, we demonstrate the existence and curious evolution of vortices in a ladder-type three-level nonlinear atomic vapor with linear, cubic, and quintic susceptibilities considered simultaneously with the dressing…

Pattern Formation and Solitons · Physics 2012-11-07 Yiqi Zhang , Zhenkun Wu , Chenzhi Yuan , Xin Yao , Keqing Lu , Milivoj Belić , Yanpeng Zhang