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We investigate the tunneling time of a wave packet propagating through a non-Hermitian potential $V_{r} - iV_{i}$ in space-fractional quantum mechanics. By applying the stationary phase method, we derive a closed-form expression for the…

Quantum Physics · Physics 2025-04-08 Mohammad Umar , Vibhav Narayan Singh , Bhabani Prasad Mandal

We consider tunneling of two interacting atoms with an even spatial symmetry. The atoms are prepared in two lowest excited states with respect to relative and center-of-mass motions. We observe monotonic and non-monotonic dependence of the…

Atomic Physics · Physics 2018-06-27 I. S. Ishmukhamedov , A. S. Ishmukhamedov

A unified approach to the time analysis of tunnelling of nonrelativistic particles is presented, in which Time is regarded as a quantum-mechanical observable, canonically conjugated to Energy. The validity of the Hartman effect…

Quantum Physics · Physics 2009-11-07 Vladislav S. Olkhovsky , Erasmo Recami , Jacek Jakiel

In this paper we examine critically and in detail some existing definitions for the tunnelling times, namely: the phase-time; the centroid-based times; the Buttiker and Landauer times; the Larmor times; the complex (path-integral and Bohm)…

Quantum Physics · Physics 2007-05-23 G. Privitera , G. Salesi , V. S. Olkhovsky , E. Recami

We are in the process of building an experiment to study the tunneling of laser-cooled Rubidium atoms through an optical barrier. A particularly thorny set of questions arises when one considers the possibility of observing a tunneling…

Quantum Physics · Physics 2008-11-26 A. M. Steinberg

We consider coherent tunneling of one-dimensional model systems in non-cyclic or cyclic symmetric double well potentials. Generic potentials are constructed which allow for analytical estimates of the quantum dynamics in the…

Chemical Physics · Physics 2023-02-09 Jörn Manz , Axel Schild , Burkhard Schmidt , Yonggang Yang

The forerunners preceding the main tunneling signal of the wave created by a source with a sharp onset or by a quantum shutter, have been generally associated with over-the-barrier (non-tunneling) components. We demonstrate that, while this…

Quantum Physics · Physics 2009-11-07 G. Garcia-Calderon , Jorge Villavicencio , F. Delgado , J. G. Muga

The intermediate domain of strong-field ionization between the tunneling and the multiphoton regimes is investigated using the strong field approximation and the imaginary-time method. An intuitive model for the dynamics is developed which…

Quantum Physics · Physics 2015-06-22 M. Klaiber , K. Z. Hatsagortsyan , C. H. Keitel

Quantum mechanical tunneling of atoms is increasingly found to play an important role in many chemical transformations. Experimentally, atom-tunneling can be indirectly detected by temperature-independent rate constants at low temperature…

Chemical Physics · Physics 2020-09-10 Jan Meisner , Johannes Kästner

We consider tunnel ionization of an atom or molecule in a strong field within an analytical treatment of the R-matrix method, in which an imaginary boundary is set up inside the classically forbidden region that acts as a source of ionized…

Quantum Physics · Physics 2016-11-26 Emilio Pisanty

Electron channeling in silicon crystals has brought forward the possibility of having detected a particle's "internal clock", as an intrinsic oscillation with de Broglie's frequency. The transmission probability along a major axial…

Quantum Physics · Physics 2014-03-27 M. Bauer

Resonant tunneling through identical potential barriers is a textbook problem in quantum mechanics. Its solution yields total transparency (100% tunneling) at discrete energies. This dramatic phenomenon results from coherent interference…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Daniel Rohrlich , Oren Zarchin , Moty Heiblum , Diana Mahalu , Vladimir Umansky

We report measurements of energy-dependent attosecond photoionization delays between the two outer-most valence shells of N$_2$O and H$_2$O. The combination of single-shot signal referencing with the use of different metal foils to filter…

Atomic Physics · Physics 2016-09-21 Martin Huppert , Inga Jordan , Denitsa Baykusheva , Aaron von Conta , Hans Jakob Wörner

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

Single-electron circuits of the future, consisting of a network of quantum dots, will require a mechanism to transport electrons from one functional part to another. For example, in a quantum computer[1] decoherence and circuit complexity…

Mesoscale and Nanoscale Physics · Physics 2011-11-02 R. P. G. McNeil , M. Kataoka , C. J. B. Ford , C. H. W. Barnes , D. Anderson , G. A. C. Jones , I. Farrer , D. A. Ritchie

We investigate quantum tunneling in a translation invariant chain of particles. The particles interact harmonically with their nearest neighbors, except for one bond, which is anharmonic. It is described by a symmetric double well…

Other Condensed Matter · Physics 2009-01-29 V. Fleurov , R. Schilling , B. Bayani

Calculations of tunneling matrix elements associated with electron transfer through molecular environments are usually done for given frozen nuclear configurations, assuming that nuclear motions are slow relative to the timescale of a…

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

In our recent work (Sharoglazova et al., Nature 643, 67 (2025)), we reported the measurement of the speed of tunnelling particles using a coupled waveguide system. The measured speed was found to disagree with the standard guiding equation…

Quantum Physics · Physics 2025-11-06 Jan Klaers , Violetta Sharoglazova , Marius Puplauskis

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

Tunneling of optical pulses at 1.5 micron wavelength through double-barrier periodic fiber Bragg gratings is experimentally investigated. Tunneling time measurements as a function of barrier distance show that, far from the resonances of…

Optics · Physics 2009-11-07 S. Longhi , P. Laporta , M. Belmone , E. Recami