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A semiclassical method of complex trajectories for the calculation of the tunneling exponent in systems with many degrees of freedom is further developed. It is supplemented with an easily implementable technique, which enables one to…

量子物理 · 物理学 2008-11-26 F. Bezrukov , D. Levkov

We consider resonant tunneling between disorder localized states in a potential energy displaying perfect correlations over large distances. The phenomenon described here may be of relevance to models exhibiting many-body localization.…

数学物理 · 物理学 2019-10-29 Rajinder Mavi , Jeffrey Schenker

Q-balls are bound-state configurations of complex scalars stabilized by a conserved Noether charge Q. They are solutions to a second-order differential equation that is structurally identical to Euclidean vacuum-decay bounce solutions in…

高能物理 - 唯象学 · 物理学 2023-11-16 José Ramon Espinosa , Julian Heeck , Mikheil Sokhashvili

The tunneling potential formalism makes it easy to construct exact solutions to the vacuum decay problem in potentials with multiple fields. While some exact solutions for single-field decays were known, we present the first nontrivial…

高能物理 - 理论 · 物理学 2023-12-20 J. R. Espinosa , T. Konstandin

A multidimensional semiclassical method for calculating tunneling splittings in vibrationally excited states of molecules using Cartesian coordinates is developed. It is an extension of the theory by Mil'nikov and Nakamura [$\textit{ J.…

化学物理 · 物理学 2020-10-28 Mihael Eraković , Marko T. Cvitaš

We introduce a simple, solvable model of double-barrier resonant tunneling structure which includes the effects of electron-electron and electron-phonon scattering. The model is based on a generalized effective-mass equation where a…

凝聚态物理 · 物理学 2007-05-23 Enrique Diez , Angel Sanchez , Francisco Dominguez-Adame

We apply the bosonization technique to the problem of tunneling in a Fermi liquid, and present a semiclassical theory of tunneling rates. To test the method, we derive and evaluate an expression for the tunneling current in the problem of…

凝聚态物理 · 物理学 2007-05-23 L. S. Levitov , A. V. Shytov

Quantum mechanical real-time tunneling through general scattering potentials is studied in the semiclassical limit. It is shown that the exact path integral of the real-time propagator is dominated in the long time sector by…

量子物理 · 物理学 2016-08-16 Joachim Ankerhold , Markus Saltzer

We solve a long-standing set of problems in optics and waves: why does a volume have only so many useful orthogonal wave channels in or out of it, why do coupling strengths fall off dramatically past this number, and, indeed, just what…

光学 · 物理学 2023-11-08 David A. B. Miller , Zeyu Kuang , Owen D. Miller

The screening effects by bound target electrons in low energy nuclear reactions in laboratory experiments can be well represented in terms of a constant shift of the tunneling potential barrier as postulated in all previous analyses if the…

核理论 · 物理学 2007-05-23 Noboru Takigawa , Sachie Kimura , David M. Brink

Based on the general form of the master equation for open quantum systems the tunneling is considered. Using the path integral technique a simple closed form expression for the tunneling rate through a parabolic barrier is obtained. The…

凝聚态物理 · 物理学 2009-10-30 G. G. Adamian , N. V. Antonenko , W. Scheid

We consider a particle bound to a two-dimensional plane and a double well potential, subject to a perpendicular uniform magnetic field . The energy difference between the lowest two eigenvalues--the eigenvalue splitting--is related to the…

数学物理 · 物理学 2022-01-25 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein

Semiclassical solutions of two-dimensional Schrodinger equation with spin-orbit interaction and smooth potential are considered. In the leading order, spin polarization is in-plane and follows the evolution of the electron momentum for a…

介观与纳米尺度物理 · 物理学 2007-05-23 P. G. Silvestrov , E. G. Mishchenko

We study the tunneling current between two counterpropagating edge modes described by chiral Luttinger liquids when the tunneling takes place along an extended region. We compute this current perturbatively by using a tunnel Hamiltonian.…

其他凝聚态物理 · 物理学 2009-11-11 M. Aranzana , N. Regnault , Th. Jolicoeur

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 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…

凝聚态物理 · 物理学 2009-11-07 Michael Galperin , Abraham Nitzan , Uri Peskin

It was found recently that processes of multidimensional tunneling are generally described at high energies by unstable semiclassical trajectories. We study two observational signatures related to the instability of trajectories. First, we…

量子物理 · 物理学 2015-05-13 D. G. Levkov , A. G. Panin , S. M. Sibiryakov

Tunneling of two particles in synchronous and asynchronous regimes is studied in the framework of dissipative quantum tunneling. The critical temperature T_c corresponding to a bifurcation of the underbarrier trajectory is determined. The…

介观与纳米尺度物理 · 物理学 2007-05-23 A. K. Aringazin , Yu. Dahnovsky , V. D. Krevchik , A. A. Ovchinnikov , M. B. Semenov , K. Yamamoto

The creation of tunable open quantum systems is becoming feasible in current experiments with ultracold atoms in low-dimensional traps. In particular, the high degree of experimental control over these systems allows detailed studies of…

量子气体 · 物理学 2015-04-17 R. Lundmark , C. Forssén , J. Rotureau

Canonical semiclassical methods can be used to develop an intuitive definition of tunneling time through potential barriers. An application to atomic ionization is given here, considering both static and time-dependent electric fields. The…

量子物理 · 物理学 2019-01-23 Bekir Baytas , Martin Bojowald , Sean Crowe