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We consider the problem of a semiclassical description of quantum chaotic transport, when a tunnel barrier is present in one of the leads. Using a semiclassical approach formulated in terms of a matrix model, we obtain transport moments as…

Chaotic Dynamics · Physics 2022-07-06 Pedro H. S. Bento , Marcel Novaes

We revisit the problem of quantum tunneling for a particle moving in the continuum, and in the absence of a magnetic field. In all spatial dimensions, we extend previous results to the case where the single-well potential satisfies…

Mathematical Physics · Physics 2025-06-17 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein

Quantum tunneling is a valuable resource exploited by quantum annealers to solve complex optimization problems. Tunneling events also occur during projective quantum Monte Carlo (PQMC) simulations, and in a class of problems characterized…

Quantum Physics · Physics 2019-12-16 T. Parolini , E. M. Inack , G. Giudici , S. Pilati

We present a self-consistent approach to describe ambipolar tunneling in asymmetrical double quantum wells under steady-state excitation and extend the results to the case of tunneling from a near-surface quantum well to surface states. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Carlo Presilla , Valentina Emiliani , Andrea Frova

We consider a Parity-time (PT) invariant non-Hermitian quasi-exactly solvable (QES) potential which exhibits PT phase transition. We numerically study this potential in a complex plane classically to demonstrate different quantum effects.…

Quantum Physics · Physics 2015-09-25 Bhabani Prasad Mandal , Sushant S. Mahajan

We present a new way to compute and interpret quantum tunneling in a 1-D double-well potential. For large transition time we show that the quantum action functional gives an analytical expression for tunneling amplitudes. This has been…

Quantum Physics · Physics 2007-05-23 F. Paradis , H. Kroger , G. Melkonyan , K. J. M. Moriarty

Quasiclassical methods are used to define dynamical tunneling times in models of quantum cosmological bounces. These methods provide relevant new information compared with the traditional treatment of quantum tunneling by means of tunneling…

General Relativity and Quantum Cosmology · Physics 2021-11-18 Martin Bojowald , Brenda Jones

We study the anharmonic double well in quantum mechanics using exact Wentzel-Kramers-Brillouin (WKB) methods in a 't Hooft-like double scaling limit where classical behavior is expected to dominate. We compute the tunneling action in this…

High Energy Physics - Theory · Physics 2023-08-03 Prisco Lo Chiatto , Sebastian Schenk , Felix Yu

We numerically study influence of a polychromatic perturbation on wave acket dynamics in one-dimensional double-well potential. It is found that time-dependence of the tunneling probability shows two kinds of the motion typically, coherent…

Other Condensed Matter · Physics 2009-11-11 Akira Igarashi , Hiroaki S. Yamada

Quantum Zeno Effect (QZE) is the suppression of the inter-subspace transition by a relatively fast intra-subspace decoherence. Earlier, we had proposed a QZE-based mechanism for the temperature-dependent normal-state c-axis resistivity of…

Superconductivity · Physics 2017-08-23 N. Kumar

A semiclassical theory is developed and compared to experiments on the tunneling resonance spectrum for a quantum well in magnetic field tilted with respect to the tunneling direction. As the tilt angle is increased from zero the classical…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 E. E. Narimanov , A. Douglas Stone

Quantum tunneling between two potential wells in a magnetic field can be strongly increased when the potential barrier varies in the direction perpendicular to the line connecting the two wells and remains constant along this line. A…

Quantum Physics · Physics 2007-05-23 Boris Ivlev

Quantum tunneling in a many-body system is much more non-trivial than that in a one-body system. The most characteristic phenomenon is the mixed tunneling, which has been studied in many fields for decades. For instance, let us consider a…

High Energy Physics - Theory · Physics 2023-05-11 Yutaro Shoji

Singularity of the potential function makes quantum tunneling problem mathematically underdetermined. To circumvent the difficulties it introduced in physics, a potential singularity cutoff is often used, followed by a reverse limit…

Quantum Physics · Physics 2021-07-07 A. Zh. Muradyan

Polaron tunneling is a prominent example of a problem characterized by different energy scales, for which the standard quantum Monte Carlo methods face a slowdown problem. We propose a new quantum-tunneling Monte Carlo (QTMC) method which…

Quantum Gases · Physics 2021-04-14 A. S. Popova , V. V. Tiunova , A. N. Rubtsov

We present a formalism based on the functional Schr\"odinger equation to analyse time-dependent tunneling in quantum field theory at the semi-classical level. The full problem is reduced step by step to a finite dimensional quantum…

High Energy Physics - Theory · Physics 2019-11-27 Luc Darmé , Joerg Jaeckel , Marek Lewicki

We study the influence of a tunnel barrier on the quantum transport through a circular cavity. Our analysis in terms of classical trajectories shows that the semiclassical approaches developed for ballistic transport can be adapted to deal…

Mesoscale and Nanoscale Physics · Physics 2009-10-25 Markus Schreier , Klaus Richter , Gert-Ludwig Ingold , Rodolfo A. Jalabert

Quantum tunneling between two potential wells in a magnetic field can be strongly increased when the potential barrier varies in the direction perpendicular to the line connecting the two wells and remains constant along this line. An…

Quantum Physics · Physics 2009-11-11 B. Ivlev

We investigate how quantum decoherence influences the tunneling dynamics of quantum fields in cosmological spacetimes. Specifically, we study a scalar field in an asymmetric double-well potential during inflation, coupled to environmental…

High Energy Physics - Theory · Physics 2026-03-13 Robson Christie , Jaewoo Joo , Greg Kaplanek , Vincent Vennin , David Wands

We study the tunneling through delta and double delta potentials in fractional quantum mechanics. After solving the fractional Schr\"odinger equation for these potentials, we calculate the corresponding reflection and transmission…

Mathematical Physics · Physics 2015-05-20 Edmundo Capelas de Oliveira , Jayme Vaz
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