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Related papers: Bypassing the bandwidth theorem with PT symmetry

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A discrete time control algorithm using the damped least squares is introduced for acceleration and energy exchange controls in nonlinear vibrating systems. It is shown that the damping constant of least squares and sampling time step of…

Optimization and Control · Mathematics 2011-10-17 V. N. Pilipchuk

We introduce and develop a novel approach to extend the ordinary two-flavor neutrino oscillation formalism in matter using a non-Hermitian PT symmetric effective Hamiltonian. The condition of PT symmetry is weaker and less mathematical than…

High Energy Physics - Phenomenology · Physics 2016-04-14 Tommy Ohlsson

It is highly desired to operate a joint time and frequency transfer over the exiting fiber-optic telecom networks with the commercial data transmission. Previously, we proposed a time transfer scheme based on bidirectional time division…

Instrumentation and Detectors · Physics 2017-07-25 Hao Zhang , Guiling Wu , Xinwan Li , Jianping Chen

The heat exchange fluctuation theorem (XFT) by Jarzynski and W\'ojcik [Phys. Rev. Lett. 92, 230602 (2004)] addresses the setting where two systems with different temperatures are brought in thermal contact at time $t=0$ and then…

Statistical Mechanics · Physics 2025-02-07 Alex V. Plyukhin

We study the spectral stability of a 2D discrete Schr\"{o}dinger equation on a square lattice, in the simultaneous presence of a fractional Laplacian and $\cal{PT}$ symmetry. For that purpose, we compute the plane-wave spectrum in closed…

Pattern Formation and Solitons · Physics 2022-11-16 Mario I. Molina

By adding an imaginary interacting term proportional to ip_1p_2 to the Hamiltonian of a free anisotropic planar oscillator, we construct a new model which is described by the PT-pseudo-Hermitian Hamiltonian with the permutation symmetry of…

Quantum Physics · Physics 2012-04-16 Jun-Qing Li , Yan-Gang Miao

Non-Hermitian systems, with symmetric or antisymmetric Hamiltonians under the parity-time ($\mathcal{PT}$) operations, can have entirely real eigenvalues. This fact has led to surprising discoveries such as loss-induced lasing and…

In this paper we discuss experimental consequences of a novel kind of CPT violation which would manifest itself in the symmetry of the entangled initial state of $B ^0$ and $\bar B ^0$ through their loss of indistinguishability. The…

High Energy Physics - Phenomenology · Physics 2009-11-11 E. Alvarez , J. Bernabeu , M. Nebot

Using transfer-matrix methods, we investigate the response of a multilayered metamaterial system containing defects to an incident acoustic plane wave at normal or oblique incidence. The transmission response is composed of pass-bands with…

Materials Science · Physics 2018-06-28 D. Psiachos , M. M. Sigalas

We experimentally simulate non-unitary quantum dynamics using a single-photon interferometric network and study the information flow between a parity-time (PT)-symmetric non-Hermitian system and its environment. We observe oscillations of…

Quantum Physics · Physics 2019-12-11 Lei Xiao , Kunkun Wang , Xiang Zhan , Zhihao Bian , Kohei Kawabata , Masahito Ueda , Wei Yi , Peng Xue

The function exp(iwt) describes an oscillating motion. Energy of the oscillator is proportional to the square of w. exp(iwt) is the solution of a differential equation. We have replaced this differential equation by the corresponding…

Quantum Physics · Physics 2007-05-23 Mushfiq Ahmad , Muhammad O. G. Talukder

We study correlated quantum wires subject to harmonic modulation of the onsite-potential concentrating on the limit of large times, where the response of the system has synchronized with the drive. We identify the ratio…

Strongly Correlated Electrons · Physics 2018-01-10 D. M. Kennes

It is known that the spontaneous time translation symmetry breaking can occur in systems periodically driven at a certain period. We predict a spontaneous breaking of time translation symmetry in an atom-cavity system without external…

Quantum Physics · Physics 2024-05-08 T. T. Sergeev , A. A. Zyablovsky , E. S. Andrianov , Yu. E. Lozovik

In dynamics and vibrations, the concept of bandwidth for linear time-invariant systems is widely recognized as a measure of the dispersion of frequency content around resonance. Similarly, the time constant is associated with the rate of…

Unidirectional transport and localized cyclotron motion are two opposite physical phenomena. Here, we study the interplay effects between them on nonreciprocal lattices subject to a magnetic field. We show that, in the long-wavelength…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Kai Shao , Zhuo-Ting Cai , Hao Geng , Wei Chen , D. Y. Xing

We theoretically and numerically investigate the scattering behavior of a periodic parity-time (PT)-symmetric waveguide network composed of a finite number of unit cells. Specifically, we put forward rigorous and formally exact expressions…

Optics · Physics 2022-11-22 Jeng Yi Lee , Pai-Yen Chen

The application of parity-time (PT) symmetry in optics, especially PT-symmetry breaking, has attracted considerable attention as a novel approach to controlling light propagation. Here, we report optical limiting by two coupled optical…

We address a two-dimensional parity-time (PT)-symmetric structure built as a chain of waveguides, where all waveguides except for the central one are conservative, while the central one is divided into two halves with gain and losses. We…

Inductive wireless power transfer (WPT) systems can be effectively described as non-Hermitian systems using the coupled-mode theory. In these systems, parity-time (PT) symmetric states facilitate efficient power transfer. Traditionally,…

Applied Physics · Physics 2023-12-22 Hanwei Wang , Joshua Yu , Xiaodong Ye , Yang Zhao

We consider single-particle spectra of a symmetric narrow-band Anderson impurity model, where the host bandwidth $D$ is small compared to the hybridization strength $\Delta_{0}$. Simple 2nd order perturbation theory (2PT) in $U$ is found to…

Strongly Correlated Electrons · Physics 2009-10-31 Steffen Schäfer , David E Logan
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