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Tunnelling lies at the heart of quantum mechanics and is a fundamental process in attosecond science, molecular biology, and quantum devices. Whether tunnelling takes time and how a microscopic particle transits through a barrier have been…

In this paper we calculate the analytic expression of the phase time for the scattering of an electron off a complex square barrier. As is well known the (negative) imaginary part of the potential takes into account, phenomenologically, the…

Quantum Physics · Physics 2009-11-07 Fabio Raciti , Giovanni Salesi

A method of a non-stationary description of tunneling of a particle through the one-dimensional and spherically symmetric rectangular barriers on the basis of analisis of multiple internal reflections of wave packets in relation on the…

Nuclear Theory · Physics 2009-09-29 Vladislav S. Olkhovsky , Sergei P. Maydanyuk

The transit times are obtained for a symmetrized (two identical bosons) and an antisymmetrized (two identical fermions) quantum colliding configuration. Considering two identical particles symmetrically impinging on a one-dimensional…

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

A theory for the tunneling of one atom out of a trap containing two interacting cold atoms is developed. The quasiparticle wave function, dressed by the interaction with the companion atom in the trap, replaces the non-interacting orbital…

Quantum Gases · Physics 2012-03-19 Massimo Rontani

We investigate macroscopic quantum tunneling of a Bose condensate and how it is affected by the interatomic interaction. We study the dynamics of a condensate falling under gravity and scattering on a Gaussian potential barrier that models…

Statistical Mechanics · Physics 2009-11-07 L. Salasnich , A. Parola , L. Reatto

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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. K. Aringazin , Yu. Dahnovsky , V. D. Krevchik , A. A. Ovchinnikov , M. B. Semenov , K. Yamamoto

Time dependence for barrier penetration is considered in the phase space. An asymptotic phase-space propagator for nonrelativistic scattering on a one - dimensional barrier is constructed. The propagator has a form universal for various…

Quantum Physics · Physics 2009-10-30 M. S. Marinov , Bilha Segev

We show that a short-range strong repulsive (contact) interaction between the particles in the barrier may change the statistics of two-particle tunnelling. In the case of a resonance of a width $\Gamma$, the effect would be observed if the…

Quantum Physics · Physics 2015-06-19 D. Sokolovski , L. M. Baskin

We investigate the quantum dynamics of two interacting bosonic atoms confined in a one-dimensional anharmonic trap. The tunneling rate, an experimentally measurable parameter of the system, was calculated as a function of the effective…

Atomic Physics · Physics 2017-06-14 I. S. Ishmukhamedov , V. S. Melezhik

We examine a fast decay process that arises in the transition period between the Gaussian and exponential decay processes in quantum decay systems. It is usually expected that the decay is decelerated by a confinement potential barrier.…

Quantum Physics · Physics 2009-11-07 T. Koide , F. M. Toyama

Quantum particles interacting with potential barriers are ubiquitous in physics, and the question of how much time they spend inside classically forbidden regions has attracted interest for many decades. Recent developments of new…

Quantum Physics · Physics 2021-07-06 Seyedmohammad Yusofsani , Miroslav Kolesik

A new mechanism of tunnelling at macroscopic distances is proposed for a wave packet localized in one-dimensional disordered potential with mirror symmetry, V(-x)=V(x). Unlike quantum tunnelling through a regular potential barrier, which…

Disordered Systems and Neural Networks · Physics 2012-05-15 E. Diez , F. Izrailev , A. A. Krokhin , A. Rodriguez

Quantum tunneling in an asymmetric (with strongly different capacitances) SQUID is studied. Since capacitances play a role of masses one phase, related to a large mass, becomes "heavy" and remains always a constant in a tunneling process.…

Superconductivity · Physics 2010-09-20 J. P. Palomares Baez , B. Ivlev

Active wave-particle entities (WPEs) emerge as self-propelled oil droplets on the free surface of a vibrating oil bath. The particle (droplet) periodically imprints decaying waves on the liquid surface which in turn guide the particle…

Chaotic Dynamics · Physics 2024-12-24 Runze Xu , Rahil N. Valani

We present a quantitative semiclassical theory for the decay of nondispersive electronic wave packets in driven, ionizing Rydberg systems. Statistically robust quantities are extracted combining resonance assisted tunneling with subsequent…

Chaotic Dynamics · Physics 2007-05-23 Sandro Wimberger , Peter Schlagheck , Christopher Eltschka , Andreas Buchleitner

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

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

We consider simple models of tunneling of an object with intrinsic degrees of freedom. This important problem was not extensively studied until now, in spite of numerous applications in various areas of physics and astrophysics. We show…

Nuclear Theory · Physics 2008-11-26 C. A. Bertulani , V. V. Flambaum , V. G. Zelevinsky

For the system with one-dimensional spatially periodic potential we demonstrate that small periodic in time perturbation results in appearance of chaotic instanton solutions. We estimate parameter of local instability, width of stochastic…

Chaotic Dynamics · Physics 2009-11-10 V. I. Kuvshinov , A. V. Kuzmin , R. G. Shulyakovsky