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This paper studies whether solutions of a class of nonlinear feedback systems remain bounded over time. The systems we consider arise naturally in synthetic biology, where the antithetic feedback controller regulates a biological process…

Optimization and Control · Mathematics 2026-05-01 Moh Kamalul Wafi , Arthur C. B. de Oliveira , Eduardo D. Sontag

In this work we improve the quantum communication rates of various quantum channels of interest using permutation-invariant quantum codes. We focus in particular on parametrized families of quantum channels and aim to improve bounds on…

Quantum Physics · Physics 2025-08-14 Sujeet Bhalerao , Felix Leditzky

In this Letter, we investigate the group delay of optical pulses through multilayer dielectric mirrors (MDM) combined with gravitational wave (GW). We find that the delay increases linearly with MDM length for the transmitted wave packet,…

Optics · Physics 2016-12-21 Jiang-Tao Liu , Wu Xin , Nian-Hua Liu , Jun Li , Fu-Hai Su

Numerical implementation of a theory yields acoustic wave packets whose peak-to-peak speeds, $c_{3d}$, are supersonic in a dispersionless medium due to temporal interference between direct and boundary-reflected paths. The effect occurs…

General Physics · Physics 2025-11-11 John L. Spiesberger , Eugene Terray

Evidences and hints, both from the theoretical and experimental side, of exotic baryon resonances with B=S, have been with us for the last thirty years. The poor status of the general acceptance of these Z* resonances is partly due to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. G. Kelkar , M. Nowakowski , K. P. Khemchandani

The problem of time delay in tunneling ionization is revisited. The origin of time delay at the tunnel exit is analysed, underlining the two faces of the concept of the tunnelling time delay: the time delay around the tunnel exit and the…

The mechanism of superluminal traversal time through a potential well or potential barrier is investigated from the viewpoint of interference between multiple finite wave packets, due to the multiple reflections inside the well or barrier.…

Quantum Physics · Physics 2009-03-30 Xi Chen , Chun-Fang Li

Black hole quasinormal mode frequencies can be very close to each other ("avoided crossings") or even completely degenerate ("exceptional points") when the system is characterized by more than one parameter. We investigate this resonant…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Yiqiu Yang , Emanuele Berti , Nicola Franchini

We consider one dimensional scattering and show how the presence of a mild positive barrier separating the interaction region from infinity implies that the bound and antibound states are symmetric modulo exponentially small errors in 1/h.…

Mathematical Physics · Physics 2009-11-13 David Bindel , Maciej Zworski

We examine the effect of inhomogeneous broadening on the collective response of a planar metamaterial consisting of asymmetric split ring resonators. We show that such a response leads to a transmission resonance that can persist when the…

Optics · Physics 2012-12-11 Stewart D. Jenkins , Janne Ruostekoski

The ability to live in coherent superpositions is a signature trait of quantum systems and constitutes an irreplaceable resource for quantum-enhanced technologies. However, decoherence effects usually destroy quantum superpositions. It has…

We consider a very asymmetric system of Fermions with an interaction characterized by a positive scattering length only. The minority atoms pair and form a BEC of dimers, while the surplus fermions interact only indirectly through the…

Statistical Mechanics · Physics 2009-05-15 Aurel Bulgac , Sukjin Yoon

We consider wave propagation in a complex structure coupled to a finite number $N$ of scattering channels, such as chaotic cavities or quantum dots with external leads. Temporal aspects of the scattering process are analysed through the…

Mathematical Physics · Physics 2019-12-12 Aurélien Grabsch , Dmitry V. Savin , Christophe Texier

We obtain time-resolved spectra of spontaneous emission and resonance fluorescence of a single multilevel emitter where two antiparallel transitions interfere and cause quantum beats. After rising as a single broad peak, the spontaneous…

Quantum Physics · Physics 2025-01-07 Héctor M. Castro-Beltrán , Ricardo Román-Ancheyta

On the base of a 1D Shr\"{o}dinger equation the non-linear first-order differential equation (Ricatti type) for a quantum wave impedance function was derived. The advantages of this approach were discussed and demonstrated for a case of a…

Quantum Physics · Physics 2020-10-13 O. I. Hryhorchak

The rainbow reflection effect describes the broadband spatial separation of wave spectral components caused by a spatially graded array of resonators. Although mainly studied in optics and acoustics, this phenomenon has recently been…

Fluid Dynamics · Physics 2024-04-09 Ben Wilks , Fabien Montiel , Sarah Wakes

Using a two-photon interference technique, we measure the delay for single-photon wavepackets to be transmitted through a multilayer dielectric mirror, which functions as a ``photonic bandgap'' medium. By varying the angle of incidence, we…

Quantum Physics · Physics 2016-09-08 Aephraim M. Steinberg , Raymond Y. Chiao

We study the statistical distributions of the resonance widths ${\cal P} (\Gamma)$, and of delay times ${\cal P} (\tau)$ in one dimensional quasi-periodic tight-binding systems with one open channel. Both quantities are found to decay…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 F. Steinbach , A. Ossipov , Tsampikos Kottos , T. Geisel

The electromagnetic dispersion in periodic layered media can be tailored and their resonant properties can be considerably improved by utilizing anisotropic materials. Periodic structures with a photonic band edge split into two parts, or…

Optics · Physics 2009-11-13 A. A. Chabanov

Dynamical systems with complex delayed interactions arise commonly when propagation times are significant, yielding complicated oscillatory instabilities. In this Letter, we introduce a class of systems with multiple, hierarchically long…

Pattern Formation and Solitons · Physics 2015-06-19 Serhiy Yanchuk , Giovanni Giacomelli
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