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Macroscopic quantum tunneling is described using the master equation for the reduced Wigner function of an open quantum system at zero temperature. Our model consists of a particle trapped in a cubic potential interacting with an…

Quantum Physics · Physics 2011-08-04 Esteban Calzetta , Enric Verdaguer

The general and explicit relation between the phase time and the dwell time for quantum tunneling of a relativistically propagating particle is investigated and quantified. In analogy with previously obtained non-relativistic results, it is…

Quantum Physics · Physics 2017-11-08 Alex E. Bernardini

Using time-resolved transconductance spectroscopy, we study the tunneling dynamics between a two-dimensional electron gas (2DEG) and self-assembled quantum dots (QDs), embedded in a field-effect transistor structure. We find that the…

Mesoscale and Nanoscale Physics · Physics 2014-05-26 Andreas Beckel , Annika Kurzmann , Martin Geller , Arne Ludwig , Andreas D. Wieck , Jürgen König , Axel Lorke

This paper revisited quantum tunneling dynamics through a square double-barrier potential. We emphasized the similarity of tunneling dynamics through double-barrier and that of optical Fabry--P$\acute{e}$rot (FP) interferometer. Based on…

Quantum Physics · Physics 2012-10-08 Zhi Xiao , Shi-sen Du , Chun-Xi Zhang

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

Time-resolved resonance fluorescence (RF) is used to analyse electron tunneling between a single self-assembled quantum dot (QD) and an electron reservoir. In equilibrium, the RF intensity reflects the average electron occupation of the QD…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 A. Kurzmann , B. Merkel , P. A. Labud , A. Ludwig , A. D. Wieck , A. Lorke , M. Geller

Resonant tunneling through quantum dot under a finite bias voltage at zero temperature is investigated by using the adaptive time-dependent density matrix renormalization group(TdDMRG) method. Quantum dot is modeled by the Anderson…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shunsuke Kirino , Tatsuya Fujii , Jize Zhao , Kazuo Ueda

By using techniques developed in quantum cosmology, it is found that a tunneling particle spends purely imaginary time on a barrier region. The {\it imaginary} time is associated with the stochastic acausal behaviour of a state, while the…

Quantum Physics · Physics 2008-04-03 Zhong Chao Wu

Solutions to explicit time-dependent problems in quantum mechanics are rare. In fact, all known solutions are coupled to specific properties of the Hamiltonian and may be divided into two categories: One class consists of time-dependent…

Quantum Physics · Physics 2007-05-23 Tobias Kramer , Marcos Moshinsky

Classically allowed transport is shown to compete with quantum tunneling during the ionization of atoms by ultrashort and intense laser pulses, despite Keldysh parameters smaller than unity. This is done by comparing exact probability…

Atomic Physics · Physics 2022-01-31 Gabriel M. Lando

For the relativistic tunneling effect described using Dirac's equation, in [Phys. Rev. A 70, 052112 (2004)] the authors presented the deduction of a general result that allows for the determination of the phase time (group delay) as the sum…

Quantum Physics · Physics 2023-08-24 Said Lantigua , Jonas Maziero

We study the tunneling zone solutions of a one-dimensional electrostatic potential for the relativistic (Dirac to Klein-Gordon) wave equation when the incoming wave packet exhibits the possibility of being almost totally transmitted through…

Quantum Physics · Physics 2017-11-08 Alex E. Bernardini

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

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

Some precisions are given about the definition of the Hamiltonian operator H and its transformation properties, for a linear wave equation in a general spacetime. In the presence of time-dependent unitary gauge transformations, H as an…

General Physics · Physics 2016-01-21 Mayeul Arminjon

An operational time of arrival is introduced using a realistic position and momentum measurement scheme. The phase space measurement involves the dynamics of a quantum particle probed by a measuring device. For such a measurement an…

Quantum Physics · Physics 2009-10-31 Piotr Kochanski , Krzysztof Wodkiewicz

Optical clocks based on atoms and ions probe relativistic effects with unprecedented sensitivity by resolving time dilation due to atom motion or different positions in the gravitational potential through frequency shifts. However, all…

Quantum Physics · Physics 2026-04-22 Gabriel Sorci , Joshua Foo , Dietrich Leibfried , Christian Sanner , Igor Pikovski

A general theoretical formulation for the effect of a strong on-site Coulomb interaction on the time-dependent electron transport through a quantum dot under the influence of arbitrary time-varying bias voltages and/or external fields is…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Bing Dong , G. H. Ding , X. L. Lei

A time fractional quantum framework has been introduced into quantum mechanics. A new version of the space-time fractional Schr\"odinger equation has been launched. The introduced space-time fractional Schr\"odinger equation has a new scale…

General Physics · Physics 2017-10-11 Nick Laskin

Quantum mechanical time operator is introduced following the parametric formulation of classical mechanics in the extended phase space. Quantum constraint on the extended quantum system is defined in analogy to the constraint of the…

Quantum Physics · Physics 2011-02-15 Nikola Buri\' c , Slobodan Prvanovi\' c
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