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Time evolution of tunneling phenomena in medium is studied using a standard model of environment interaction. A semiclassical formula valid at low, but finite temperatures is derived in the form of integral transform for the reduced Wigner…

高能物理 - 唯象学 · 物理学 2007-05-23 Sh. Matsumoto , M. Yoshimura

Dissipative quantum tunnelling through an inverted parabolic barrier is considered in the presence of an electric field. A Schr\"odinger-Langevin or Kostin quantum classical transition wave equation is used and applied resulting in a scaled…

量子物理 · 物理学 2018-10-03 S. V. Mousavi , S. Miret-Artés

Quantum scattering in the presence of a potential valley followed by a barrier is examined for the case of a Morse potential, for which exact analytic solutions to the Schr\UNICODE{0xf6}dinger equation are known in terms of confluent…

核理论 · 物理学 2009-11-07 G. Rawitscher , Cory Merow , Matthew Nguyen , Ionel Simbotin

It is argued that there is a sensible way to define conditional probabilities in quantum mechanics, assuming only Bayes's theorem and standard quantum theory. These probabilities are equivalent to the ``weak measurement'' predictions due to…

量子物理 · 物理学 2016-09-08 Aephraim M. Steinberg

Using the phenomenological quantum friction models introduced by Caldirola-Kanai, Kostin, and Albrecht, we study quantum tunneling of a one-dimensional potential in the presence of energy dissipation. To this end, we calculate the tunneling…

核理论 · 物理学 2017-05-10 M. Tokieda , K. Hagino

We analyze the canonical quantum dynamics of the isotropic Universe in a metric approach by adopting a self-interacting scalar field as relational time. When the potential term is absent we are able to associate the the expanding and…

广义相对论与量子宇宙学 · 物理学 2023-09-15 Eleonora Giovannetti , Fabio Maione , Giovanni Montani

Quantum tunneling across double potential barriers is studied. With the assumption that the real space is a continuum, it is rigorously proved that large barriers of arbitrary shapes can be penetrated by low-energy particles with a…

介观与纳米尺度物理 · 物理学 2024-02-02 Yong Yang

We calculate the tunneling process of a Dirac particle across two square barriers separated a distance $d$, as well as the scattering by a double cusp barrier where the centers of the cusps are separated a distance larger than their…

量子物理 · 物理学 2015-05-18 Victor M. Villalba , Luis Gonzalez-Arraga

This paper proposes a universal microscopic model for the shallow confinement regime of single-electron tunneling devices. We consider particle escape from a quantum well generically emerging as a bifurcation in a smooth electrostatic…

介观与纳米尺度物理 · 物理学 2025-04-11 Austris Akmentinsh , Niels Ubbelohde , Vyacheslavs Kashcheyevs

A clear consensus on how long it takes a particle to tunnel through a potential barrier has never been so urgently required, since the electron dynamics in strong-field ionization can be resolved on attosecond time-scale in experiment and…

原子物理 · 物理学 2019-03-19 Xiaolei Hao , Zheng Shu , Weidong Li , Jing Chen

Tunneling, though a physical reality, is shrouded in mystery. Wave packets cannot be constructed under the barrier and group velocity cannot be defined. The tunneling particle can be observed on either sides of the barrier but its…

介观与纳米尺度物理 · 物理学 2023-03-01 Kanchan Meena , P. Singha Deo

Tunneling delay times of wavepackets in quantum mechanical penetration of rectangular barriers have long been known to show a perplexing independence with respect to the width of the barrier. This also has relevence to the transmission of…

量子物理 · 物理学 2015-06-26 Arya Paul , Arnab Saha , Swarnali Bandopadhyay , Binayak Dutta-Roy

In this paper, we use a straightforward numerical method to solve scattering models in one-dimensional lattices based on a tight-binding band structure. We do this by using the wave packet approach to scattering, which presents a more…

物理教育 · 物理学 2022-07-06 M. Staelens , F. Marsiglio

A model for quantum tunnelling of a cluster comprising A identical particles, coupled by oscillator-type potential, through short-range repulsive potential barriers is introduced for the first time in the new symmetrized-coordinate…

The escape rate of a particle over a fluctuating barrier in a double well potential exhibits resonance at an optimum value of correlation time of fluctuation. This has been shown to be important in several variants of kinetic model of…

统计力学 · 物理学 2015-06-25 Pulak Kumar Ghosh , Debashis Barik , Bidhan Chandra Bag , Deb Shankar Ray

We model a particle entering a complicated system from free space using an infinite chain of simple harmonic oscillators coupled to a finite, $n$-site cluster. For a particle wavepacket with small wavenumber, an expression for the time…

量子物理 · 物理学 2018-12-13 Erin Crawley

Domain wall networks are two-dimensional topological defects generally predicted in many beyond standard model physics. In this Letter, we propose to solve the domain wall problem with the first-order phase transition. We numerically study…

高能物理 - 唯象学 · 物理学 2023-04-12 Yang Li , Ligong Bian , Yongtao Jia

We investigate the statistics of the first detected passage time of a quantum walk. The postulates of quantum theory, in particular the collapse of the wave function upon measurement, reveal an intimate connection between the wave function…

统计力学 · 物理学 2020-09-21 H. Friedman , D. A. Kessler , E. Barkai

Following our work [Phys. Rev. Lett. 125, 020401 (2020)], we discuss a semiclassical description of one-dimensional quantum tunneling through multibarrier potentials in terms of complex time. We start by defining a complex-extended…

量子物理 · 物理学 2021-06-09 Pavel Stránský , Milan Šindelka , Pavel Cejnar

Using a time operator, we define a tunneling time for a particle going through a barrier. This tunneling time is the average of the phase time introduced by other authors. In addition to the delay time caused by the resonances over the…

量子物理 · 物理学 2009-05-27 Gonzalo Ordonez , Naomichi Hatano