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We formulate quantum tunneling as a time-of-arrival problem: we determine the detection probability for particles passing through a barrier at a detector located a distance L from the tunneling region. For this purpose, we use a…

Quantum Physics · Physics 2009-11-13 Charis Anastopoulos , Ntina Savvidou

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

The question in the title may be answered by considering the outcome of a ``weak measurement'' in the sense of Aharonov et al. Various properties of the resulting time are discussed, including its close relation to the Larmor times. It is a…

Quantum Physics · Physics 2016-09-08 Aephraim M. Steinberg

Tunneling of a particle through a potential barrier is a fundamental physical process and a major thought-provoking outcome of quantum physics. It is at the basis of multiple scientific and technological advances and strongly influences…

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

In a recent review paper [{\em Phys. Reports} {\bf 214} (1992) 339] we proposed, within conventional quantum mechanics, new definitions for the sub-barrier tunnelling and reflection times. \ Aims of the present paper are: \ (i) presenting…

Quantum Physics · Physics 2009-10-28 V. S. Olkhovsky , E. Recami , F. Raciti , A. Zaichenko

The Larmor precession of a relativistic neutral spin-1/2 particle in a uniform constant magnetic field confined to the region of a one-dimensional arbitrary potential barrier is investigated. The spin precession serves as a clock to measure…

Quantum Physics · Physics 2009-11-07 Zhi-Jian Li , Jiu-Qing. Liang , D. H. Kobe

The Larmor precession of a neutral spinning particle in a magnetic field confined to the region of a one dimensional-rectangular barrier is investigated for both a nonrelativistic and a relativistic incoming particle. The spin precession…

Quantum Physics · Physics 2009-11-07 Zhi-Jian Li , J. Q. Liang , D. H. Kobe

Tunneling is one of the most bizarre phenomena in quantum mechanics. An attempt to understand it led to the next natural question of how long does a particle need to tunnel a barrier. The latter gave rise to several definitions such as the…

Quantum Physics · Physics 2017-11-22 N. G. Kelkar

The measurement of tunneling times in strong-field ionization has been the topic of much controversy in recent years, with the attoclock and Larmor clock being two of the main contenders for correctly reproducing these times. By expressing…

Quantum Physics · Physics 2025-05-01 Pablo Martin Maier , Serguei Patchkovskii , Mikhail Ivanov , Olga Smirnova

We propose a solid-state implementation of the Larmor clock that exploits tunnel magnetoresistance to distill information on how long itinerant spins take to traverse a barrier embedded in it. Keeping in mind that the tunnelling time…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Amal Mathew , Kerem Y Camsari , Bhaskaran Muralidharan

How much time does a tunneling particle spend in a barrier? A Larmor clock, one proposal to answer this question, measures the interaction between the particle and the barrier region using an auxiliary degree of freedom of the particle to…

Quantum Physics · Physics 2022-01-04 David C. Spierings , Aephraim M. Steinberg

We consider the time delay of massive, non-relativistic, one-dimensional particles due to a tunneling potential. In this setting the well-known Hartman effect asserts that often the sub-ensemble of particles going through the tunnel seems…

Quantum Physics · Physics 2009-07-13 J. Kiukas , A. Ruschhaupt , R. F. Werner

We theoretically study the tunneling time by investigating a wave packet of Bose-condensed atoms passing through a square barrier. We find that the tunneling time exhibits different scaling laws in different energy regimes. For negative…

Quantum Physics · Physics 2022-09-07 Sheng-Chang Li

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…

Quantum Physics · Physics 2009-05-27 Gonzalo Ordonez , Naomichi Hatano

The traversal time for tunneling is a measure of the time during which the transmitted particle can be affected by interactions localized in the barrier. The Buttiker-Landauer approach, which estimates this time by imposing an internal…

Condensed Matter · Physics 2009-11-07 Michael Galperin , Abraham Nitzan , Uri Peskin

In this paper, the tunnelling of a particle through a potential barrier is investigated in the presence of a time-dependent perturbation. The latter is attributed to the process of the energy measurement of the scattered particle. The…

Quantum Physics · Physics 2022-03-10 Luca Nanni

Tunneling, transport of particles through classically forbidden regions, is a pure quantum phenomenon. It governs numerous phenomena ranging from single-molecule electronics to donor-acceptor transition reactions. The main problem is the…

Quantum Physics · Physics 2017-10-13 Durmus Demir , Tugrul Guner

The model of weak measurements is applied to various problems, related to the time problem in quantum mechanics. The review and generalization of the theoretical analysis of the time problem in quantum mechanics based on the concept of weak…

Quantum Physics · Physics 2015-06-26 J. Ruseckas , B. Kaulakys

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…

Atomic Physics · Physics 2019-03-19 Xiaolei Hao , Zheng Shu , Weidong Li , Jing Chen
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