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Related papers: Wavelength Dependent Tunneling Delay Time

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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 ionization is characterized by a negative time delay, observed asymptotically as a specific shift of the photoelectron momentum distribution, which is caused by the interference of the sub-barrier recolliding and direct ionization…

Atomic Physics · Physics 2023-05-17 Michael Klaiber , Daniel Bakucz Canário , Karen Z. Hatsagortsyan

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 tunneling time of particle through given barrier is commonly defined in terms of "internal clocks" which effectively measure the interaction time with internal degrees of freedom of the barrier. It is known that this definition of the…

Condensed Matter · Physics 2007-05-23 Uri Peskin , Michael Galperin , Abraham Nitzan

Tunneling times in atomic ionization are studied theoretically by a virtual detector approach. A virtual detector is a hypothetical device that allows one to monitor the wave function's density with spatial and temporal resolution during…

Quantum Physics · Physics 2016-08-10 Nicolas Teeny , Christoph H. Keitel , Heiko Bauke

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

A simple model of a quantum clock is applied to the old and controversial problem of how long a particle takes to tunnel through a quantum barrier. The model I employ has the advantage of yielding sensible results for energy eigenstates,…

Quantum Physics · Physics 2009-11-10 P. C. W. Davies

Exact analytical solutions of the time-dependent Schr\"odinger equation with the initial condition of an incident cutoff wave are used to investigate the traversal time for tunneling. The probability density starts from a vanishing value…

Quantum Physics · Physics 2007-05-23 Gaston Garcia-Calderon , Jorge Villavicencio

Tunneling plays a central role in the interaction of matter with intense laser pulses, and also in time-resolved measurements on the attosecond timescale. A strong laser field influences the binding potential of an electron in an atom so…

Tunneling time in attosecond and strong field experiments is one of the most controversial issues in today's research, because of its importance to the theory of time, the time operator and the time-energy uncertainty relation in quantum…

Atomic Physics · Physics 2015-11-18 Ossama Kullie

We propose a method to study the tunneling process by analyzing the time-dependent ionization yield in circularly polarized laser. A numerical calculation shows that for an atom exposed to a long laser pulse, if its initial electronic state…

Atomic Physics · Physics 2016-06-08 MingHu Yuan , PeiPei Xin , TianShu Chu , HongPing Liu

We show that it is impossible to determine the time a tunneling particle spends under the barrier. However, it is possible to determine the asymptotic time, i.e., the time the particle spends in a large area including the barrier. We…

Quantum Physics · Physics 2009-11-07 Julius Ruseckas

Recent attoclock experiments using the attsecond angular streaking technique enabled the measurement of the tunneling time delay during laser induced strong field ionization. Theoretically the tunneling time delay is commonly modelled by…

Quantum Physics · Physics 2015-05-19 Enderalp Yakaboylu , Michael Klaiber , Karen Z. Hatsagortsyan

Tunneling is an iconic concept that captures the peculiarity of quantum dynamics but, despite its ubiquity, questions remain. We focus on strong-field tunneling, which is vital to all attosecond science. We find an unexpected optical…

Quantum Physics · Physics 2025-04-22 Anne Weber , Margarita Khokhlova , Emilio Pisanty

The analytical continuation of classical equations of motion to complex times suggests that a tunnelling particle spends in the barrier an imaginary duration $i|\mathcal T|$. Does this mean that it takes a finite time to tunnel, or should…

Quantum Physics · Physics 2024-05-28 Anton Uranga , Elena Akhmatskaya , Dmitri Sokolovski

The quantum tunneling time remains the subject of heated debate, and one of its most curious features is faster-than-light or superluminal tunneling. Our tunnel-ionization model of the time-delay, presented in previous work, shows good…

Quantum Physics · Physics 2026-02-24 Ossama Kullie , Igor A. Ivanov

Tunnel ionization belongs to the fundamental processes of atomic physics. The so-called two-step model, which describes the ionization as instantaneous tunneling at the electric field maximum and classical motion afterwards with zero exit…

Quantum Physics · Physics 2016-02-17 Nicolas Teeny , Enderalp Yakaboylu , Heiko Bauke , Christoph H. Keitel

In the B\"uttiker-Landauer perturbation approach to electron tunnelling, through a time-modulated rectilinear potential barrier, the Tien-Gordon identity was invoked, together with its infinite energy spectrum. Here, an exact treatment is…

Quantum Physics · Physics 2016-04-12 Sydney G. Davison , Timothy S. Davison

The electron dynamics in the classically forbidden region during relativistic tunnel-ionization is investigated. The classical forbidden region in the relativistic regime is identified by defining a gauge invariant total energy operator.…

The time it takes a quantum system to complete a tunneling event (which in the case of cross-barrier tunneling can be viewed as the time spent in a classically forbidden area) is related to the time required for a state to evolve to an…

Quantum Gases · Physics 2015-05-27 Donatella Ciampini , Oliver Morsch , Ennio Arimondo