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Quantum tunneling is a quantum phenomenon in which a microscopic object crosses through a potential barrier even if its energy cannot overcome the barrier. A general belief is that tunneling occurs only when the barrier width is comparable…

Quantum Physics · Physics 2025-01-07 Yuan-Xing Yang , Si-Yuan Bai , Jun-Hong An

PT-symmetric systems can have a real spectrum even when their Hamiltonian is non-hermitian, but develop a complex spectrum when the degree of non-hermiticity increases. Here we utilize random-matrix theory to show that this spontaneous…

Quantum Physics · Physics 2011-06-24 Henning Schomerus

A theoretical technique which allows to include contributions from non-orthogonality of the electron states in the leads connected to a tunneling junction is derived. The theory is applied to a single barrier tunneling structure and a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Fransson , O. Eriksson , I. Sandlov

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…

Parity-time-symmetric ($\mathcal{PT}$-symmetric) optical waveguide couplers have become a key component for integrated optics. They offer new possibilities for fast, ultracompact, configurable, all-optical signal processing. Here, we study…

Optics · Physics 2015-09-14 Wiktor Walasik , Natalia M. Litchinitser

Over the past decade, parity-time ($\mathcal{PT}$)-symmetric Hamiltonians have been experimentally realized in classical, optical settings with balanced gain and loss, or in quantum systems with localized loss. In both realizations, the…

Optics · Physics 2018-07-30 Yogesh N. Joglekar , Andrew K. Harter

We numerically study two methods of measuring tunneling times using a quantum clock. In the conventional method using the Larmor clock, we show that the Larmor tunneling time can be shorter for higher tunneling barriers. In the second…

Quantum Physics · Physics 2023-04-21 Fumika Suzuki , William G. Unruh

We study the time required for a wave packet to tunnel beyond a square barrier, or to be reflected, by envisaging a physical clock which ticks only when the particle is within the barrier region. The clock consists in a magnetic moment…

Quantum Physics · Physics 2008-02-03 Andrea Begliuomini , Luciano Bracci

Propagation of light through media with a complex refractive index in which gain and loss are engineered to be $PT$ symmetric has many remarkable features. In particular the usual unitarity relations are not satisfied, so that the…

Optics · Physics 2015-06-03 H. F. Jones

The assisted tunneling of a wave packet between square one dimensional barriers is treated analytically. The tunneling rate is calculated exactly for a potential mimicking a constant electric field with arbitrary time dependence. The pole…

Quantum Physics · Physics 2015-05-13 G. Kalbermann

PT-symmetry in optics is a condition whereby the real and imaginary parts of the refractive index across a photonic structure are deliberately balanced. This balance can lead to a host of novel optical phenomena, such as unidirectional…

The tunneling time is here investigated by means of an electromagnetic model, for a system where a gap, between two parallel planes, acts as a classically-forbidden region for an impinging pulse with incidence angle larger than the critical…

Optics · Physics 2007-05-23 D. Mugnai , A. Ranfagni , L. Ronchi

Some recent theoretical studies have tended to employ analytically-continuous {\em gaussian}, or infinite-bandwidth step pulses to examine tunneling process. The stationary phase method is often employed to this aim. However, {\em gaussian}…

Quantum Physics · Physics 2009-11-10 Alex E. Bernardini

Time-independent scattering methods are widely used to analyze transport in periodic $\mathcal{PT}$-symmetric systems. However, their predictions become unphysical when the system supports time-growing bound states (TGBSs), which manifest…

Quantum Physics · Physics 2026-05-12 Chao Zheng

We discuss phase transitions in PT-symmetric optical systems. We show that due to frequency dispersion of the dielectric permittivity, an optical system can have PT-symmetry at isolated frequency points only. An assumption of the existence…

Phase modulation has scarcely been mentioned in diffusive systems since the diffusion process does not carry momentum like waves. Recently, the non-Hermitian physics provides a new perspective for understanding diffusion and shows prospects…

Applied Physics · Physics 2023-09-27 Pei-Chao Cao , Ran Ju , Dong Wang , Minghong Qi , Yun-Kai Liu , Yu-Gui Peng , Hongsheng Chen , Xue-Feng Zhu , Ying Li

The effect of inelastic scattering on quantum tunneling through a rectangular potential barrier, of length $L$, containing randomly distributed impurities, is considered. It is shown that, despite the fact that the inelastic transition…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alex Levchenko

The measurement of the tunneling time-delay is hotly debated and remains controversial. In previous works, we showed that a model that accurately describes the time-delay measured by the attoclock experiment in adiabatic and nonadiabatic…

Quantum Physics · Physics 2025-01-17 Ossama Kullie

We introduce the concept of partial and full tunneling processes to explain the seemingly contradictory non-zero and vanishing tunneling times often reported in the literature. Our analysis starts by considering the traversal time of a…

Quantum Physics · Physics 2024-01-09 Philip Caesar M. Flores , Dean Alvin L. Pablico , Eric A. Galapon

A single operational protocol based on free evolution and projective measurements yields inequivalent quantum time distributions through distinct post-processing procedures. We construct an activity-based time-of-flow (TF) distribution and…

Quantum Physics · Physics 2026-04-22 Mathieu Beau