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We experimentally study the various manifestations of ohmic losses in a two-dimensional microwave chaotic cavity and exhibit two different contributions to the resonance widths. We show that the parts of these widths, which vary from mode…

Other Condensed Matter · Physics 2007-05-23 Jerome Barthelemy , Olivier Legrand , Fabrice Mortessagne

This paper aims at quantitatively understanding the elastic wave scattering due to negative metamaterial structures under wide-band signals in the time domain. Specifically, we establish the modal expansion for the time-dependent field…

Analysis of PDEs · Mathematics 2022-04-12 Bochao Chen , Yixian Gao , Hongyu Liu

A quasimodal expansion method (QMEM) is developed to model and understand the scattering properties of arbitrary shaped two-dimensional (2-D) open structures. In contrast with the bounded case which have only discrete spectrum (real in the…

As an alternative to atomistic calculations of long-wavelength acoustic modes of atomically thin layers, which are known to converge very slowly, we propose a quantitatively predictive and physically intuitive approach based on continuum…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Dan Liu , Arthur G. Every , David Tomanek

Recent advances in the study of synthetic dimensions revealed a possibility to employ the frequency space as an additional degree of freedom which allows for investigating and exploiting higher-dimensional phenomena in a priori…

Pattern Formation and Solitons · Physics 2020-08-19 Aleksandr K. Tusnin , Alexey M. Tikan , Tobias J. Kippenberg

The local density of states or its Fourier transform, usually called fidelity amplitude, are important measures of quantum irreversibility due to imperfect evolution. In this Rapid Communication we study both quantities in a paradigmatic…

Quantum Physics · Physics 2015-06-15 D. A. Wisniacki , A. Roncaglia

As gravitational waves are now being nearly routinely measured with interferometers, the question of using them to probe new physics becomes increasingly legitimate. In this article, we rely on a well established framework to investigate…

General Relativity and Quantum Cosmology · Physics 2019-09-30 Flora Moulin , Aurélien Barrau , Killian Martineau

We measure the joint Q-function of a multi-spatial-mode field using a charge-coupled device array detector in an unbalanced heterodyne configuration. The intensity pattern formed by interference between a weak signal field and a strong…

Strong cross-Kerr non-linearities have been long sought after for quantum information applications. Recent work has shown that they are intrinsically unreliable in travelling wave configurations: cavity configurations avoid this, but…

Quantum Physics · Physics 2013-07-17 C. Perrella , P. S. Light , J. D. Anstie , F. Benabid , T. M. Stace , A. G. White , A. N. Luiten

The acoustic properties of a porous sheet of medium resistivity backed by a rigid plate in which are embedded a periodic set of circular inclusions is investigated. Such a structure behaves like a multi-component diffraction gratings.…

Classical Physics · Physics 2010-07-20 Jean-Philippe Groby , Olivier Dazel , Aroune Duclos , Laurens Boeckx , Walter Lauriks

We theoretically analyze the spectrum of phonons of a one-dimensional quasiperiodic lattice. We simulate the quasicrystal from the classic system of spring-bound atoms with a force constant modulated by the Aubry-Andr\'e model, so that its…

Disordered Systems and Neural Networks · Physics 2019-07-15 J. R. M. Silva , M. S. Vasconcelos , D. H. A. L. Anselmo , V. D. Mello

A sensor was developed to quantitatively measure perturbations which change the volume of a wave chaotic cavity while leaving its shape intact. The sensors work in the time domain by using either scattering fidelity of the transmitted…

The quasi-bound modes localized on stable periodic ray orbits of dielectric micro-cavities are constructed in the short-wavelength limit using the parabolic equation method. These modes are shown to coexist with irregularly spaced "chaotic"…

Optics · Physics 2015-06-26 H. E. Tureci , H. G. L. Schwefel , E. E. Narimanov , A. Douglas Stone

In a frequency range where a microwave resonator simulates a chaotic quantum billiard, we have measured moduli and phases of reflection and transmission amplitudes in the regimes of both isolated and of weakly overlapping resonances and for…

Chaotic Dynamics · Physics 2015-05-14 B. Dietz , T. Friedrich , H. L. Harney , M. Miski-Oglu , A. Richter , F. Schaefer , H. A. Weidenmueller

In this work, concentration properties of quasimodes for perturbed semiclassical harmonic oscillators are studied. The starting point of this research comes from the fact that, in the presence of resonances between frequencies of the…

Analysis of PDEs · Mathematics 2022-06-22 Víctor Arnaiz , Fabricio Macià

We present the results of an experimental study of the elastic enhancement factor W for a microwave rectangular cavity simulating a two-dimensional quantum billiard in a transient region between regular and chaotic dynamics. The cavity was…

Chaotic Dynamics · Physics 2015-03-30 Michał Ławniczak , Małgorzata Białous , Vitalii Yunko , Szymon Bauch , Leszek Sirko

A fluctuation theory is presented for the nonequilibrium second order phase transition in a quasi-two-dimensional electron gas. A transverse (with respect to the current through the sample) spontaneous electric field as an order parameter…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. M. Shmelev , E. M. Epshtein , A. S. Matveev

In a two-dimensional microwave chaotic cavity ohmic losses located at the contour of the cavity result in different broadenings of different modes. We provide an analytic description and establish the link between such an inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. V. Savin , O. Legrand , F. Mortessagne

We consider a disordered quantum metamaterial formed by an array of superconducting flux qubits coupled to microwave photons in a cavity. We map the system on the Tavis-Cummings model accounting for the disorder in frequencies of the…

Superconductivity · Physics 2015-07-08 Dmitriy S. Shapiro , Pascal Macha , Alexey N. Rubtsov , Alexey V. Ustinov

We study numerically the linear optical response of a quasiparticle moving on a one-dimensional disordered lattice in the presence of a linear bias. The random site potential is assumed to be long-range-correlated with a power-law spectral…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Diaz , F. Dominguez-Adame , Yu. A. Kosevich , V. A. Malyshev
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