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The gaps separating two different states widely exist in various physical systems: from the electrons in periodic lattices to the analogs in photonic, phononic, plasmonic systems, and even quasicrystals. Recently, a thermalization gap, an…

The phenomenon of chiral-symmetry protected thermalization gap in Hermitian photonic systems is counterintuitive as it implies that the photon coherence can be continuously improved by disorders towards an asymptotic limit. We show that the…

Optics · Physics 2019-05-22 Guang-Lei Wang , Hong-Ya Xu , Ying-Cheng Lai

Monochromatic coherent light traversing a disordered photonic medium evolves into a random field whose statistics are dictated by the disorder level. Here we demonstrate experimentally that light statistics can be deterministically tuned in…

Propagation of coherent light through a disordered network is accompanied by randomization and possible conversion into thermal light. Here, we show that network topology plays a decisive role in determining the statistics of the emerging…

Optics · Physics 2018-10-24 H. Esat Kondakci , Ayman F. Abouraddy , Bahaa E. A. Saleh

We study the distribution of eigenfrequency spacings (the so-called level spacing statistics) for light in a two-dimensional (2D) disordered photonic crystal composed of circular dielectric (silicon) rods in air. Disorder introduces…

Disordered Systems and Neural Networks · Physics 2019-07-05 Jose M. Escalante , Sergey E. Skipetrov

We demonstrate deterministic control over the photon-number distribution by interfering two coherent beams within a disordered photonic lattice. By sweeping a relative phase between two equal-amplitude coherent fields with Poissonian…

While the light transmission of photonic crystals is characterized by the photonic band gap, the one of disordered photonic structures is typified by a multiplicity of transmission depths. The total transmission over a range of wavelengths…

Optics · Physics 2019-09-04 Michele Bellingeri , Davide Cassi , Francesco Scotognella

We numerically study the statistical fluctuations of photonic band gaps in ensembles of stealthy hyperuniform disordered patterns. We find that at low stealthiness, where correlations are weak, band gaps of different system realizations…

Classical Physics · Physics 2023-05-31 Luis S. Froufe-Pérez , Geoffroy Aubry , Frank Scheffold , Sofia Magkiriadou

We study eigenstate thermalization and related signatures of quantum chaos in the one-dimensional ferromagnetic transverse-field Ising model with power-law interactions. The presence of long-range interactions allows for a…

Statistical Mechanics · Physics 2017-06-13 Keith R. Fratus , Mark Srednicki

A better understanding of the optical properties of a device structure characterized by a random arrangement of materials with different dielectric properties at a length scale comparable to the wavelength of light is crucial for the…

Optics · Physics 2015-04-08 Ilka Kriegel , Francesco Scotognella

The notion of a band gap is ubiquitous in the characterization of matter. Particularly interesting are pseudo-gaps, which are enigmatic regions of very low density of states that have been linked to novel phenomena like high temperature…

Mesoscale and Nanoscale Physics · Physics 2022-03-10 Linhu Li , Ching Hua Lee

Using the overlap Dirac operator I show that, contrary to some expectations, even well above the critical temperature there is not necessarily a gap in the Dirac spectrum in pure SU(2) gauge theory. This happens when the Polyakov loop and…

High Energy Physics - Lattice · Physics 2009-04-14 Tamas G. Kovacs

When matter undergoes a phase transition from one state to another, usually a change in symmetry is observed, as some of the symmetries exhibited are said to be spontaneously broken. The superconducting phase transition in the underdoped…

Strongly Correlated Electrons · Physics 2009-11-07 A. Kaminski , S. Rosenkranz , H. M. Fretwell , J. C. Campuzano , Z. Li , H. Raffy , W. G. Cullen , H. You , C. G. Olson , C. M. Varma , H. H"ochst

We study quenched disorder in strongly correlated systems via holography, focusing on the thermodynamic effects of mild electric disorder. Disorder is introduced through a random potential which is assumed to self-average on macroscopic…

High Energy Physics - Theory · Physics 2015-12-23 Allan Adams , Sho Yaida

The statistical mechanical behavior of weakly nonlinear multimoded optical settings is attracting increased interest during the last few years. The main purpose of this work is to numerically investigate the main factors that affect the…

Periodicity is usually assumed to be the necessary and sufficient condition for the formation of band gaps, i.e., energy bands with a suppressed density of states. Here, we check this premise by analyzing the band gap properties of three…

The Eigenstate Thermalization Hypothesis explains thermalization in isolated quantum systems through the statistical properties of observables in the energy eigenbasis. We investigate the crossover from integrability to chaos in the…

Quantum Physics · Physics 2026-01-15 Shivam Mishra , C Jisha , Ravi Prakash

Using the ergodicity principle for the expectation values of several types of observables, we investigate the thermalization process in isolated fermionic systems. These are described by the two-body random ensemble, which is a paradigmatic…

Statistical Mechanics · Physics 2015-05-27 V. K. B. Kota , A. Relaño , J. Retamosa , Manan Vyas

By using two ab initio numerical methods we study the effects that disorder has on the spectral gaps and on wave localization in two-dimensional photonic band gap materials. We find that there are basically two different responses depending…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Lidorikis , M. M. Sigalas , C. M. Soukoulis , E. N. Economou

We study the threshold for chaos and its relation to thermalization in the 1D mean-field Bose-Hubbard model, which in particular describes atoms in optical lattices. We identify the threshold for chaos, which is finite in the thermodynamic…

Other Condensed Matter · Physics 2009-01-23 Amy C. Cassidy , Douglas Mason , Vanja Dunjko , Maxim Olshanii
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