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We develop a theory of macroscopic resonant tunneling of flux in a double-well potential in the presence of realistic flux noise with significant low-frequency component. The rate of incoherent flux tunneling between the wells exhibits…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. H. S. Amin , Dmitri V. Averin

The most unstable quantum states and elementary particles possess more than a single decay channel. At the same time, it is well known that typically the decay law is not simply exponential. Therefore, it is natural to ask how to spot the…

Quantum Physics · Physics 2020-08-19 Francesco Giacosa , Przemysław Kościk , Tomasz Sowiński

We examine the revival features in wave packet dynamics of a particle confined in a finite square well potential. The possibility of tunneling modifies the revival pattern as compared to an infinite square well potential. We study the…

Quantum Physics · Physics 2009-10-31 Anu Venugopalan , G. S. Agarwal

We consider the one-dimensional Schr\"{o}dinger operator in the semiclassical regime assuming that its double-well potential is the sum of a finite "physically given" well and a square shape probing well whose width or depth can be varied…

Mathematical Physics · Physics 2014-11-18 M. V. Karasev , E. V. Vybornyi

A macroscopic, self-propelled wave-particle entity (WPE) that emerges as a walking droplet on the surface of a vibrating liquid bath exhibits several hydrodynamic quantum analogs. We explore the rich dynamical and quantum-like features…

Chaotic Dynamics · Physics 2025-02-17 Rahil N. Valani , Álvaro G. López

Quantum tunneling is the quantum-mechanical effect where a particle tunnels through a classically forbidden region. Double Square Well Potential (DSWP) is a system where this phenomenon is feasible. Numerous phenomena can be illustrated by…

Quantum Physics · Physics 2015-06-16 S. T. Tserkis , Ch. C. Moustakidis , S. E. Massen , C. P. Panos

Many advanced quantum techniques feature non-Gaussian dynamics, and the ability to manipulate the system in that domain is the next-stage in many experiments. One example of meaningful non-Gaussian dynamics is that of a double-well…

Quantum tunneling through an almost classical potential barrier can be strongly enhanced by a nonstationary field so that the penetration through the barrier becomes not exponentially small. This constitutes an extremely unusual phenomenon…

Quantum Physics · Physics 2007-05-23 B. Ivlev

Quantum tunneling is a phenomenon of non-equilibrium quantum dynamics and its detailed process is largely unexplored. We report the experimental observation of macroscopic quantum tunneling of Bose-Einstein Condensate in a hybrid trap. By…

Quantum Gases · Physics 2020-06-02 Khemendra Shukla , Po-Sung Chen , Jun-Ren Chen , Yu-Hsuan Chang , Yi-Wei Liu

We consider in detail the quantum-mechanical problem associated with the motion of a one-dimensional particle under the action of the double-well potential. Our main tool will be the euclidean (imaginary time) version of the path-integral…

Quantum Physics · Physics 2015-06-26 J. Casahorran

The tunneling dynamics of a magnetic $^{164}$Dy quantum gas in an elongated or pancake skewed double-well trap is investigated with a time-dependent extended Gross-Pitaevskii approach. Upon lifting the energy offset, different tunneling…

Quantum Gases · Physics 2024-08-02 S. I. Mistakidis , K. Mukherjee , S. M. Reimann , H. R. Sadeghpour

We assessed three schemes for propagating a variable-width (thawed) Gaussian wave packet moving under the influence of Morse or double-well potentials with parameters that are chemically representative. The most rigorous scheme is based on…

Chemical Physics · Physics 2024-07-25 Ilya G. Ryabinkin , Rami Gherib , Scott N. Genin

We propose a scheme of the exact fast-forwarding of standard quantum dynamics for a charged particle. The present idea allows the acceleration of both the amplitude and phase of the wave function throughout the fast-forward time range and…

Quantum Physics · Physics 2016-02-23 Anvar Khujakulov , Katsuhiro Nakamura

Process of dynamical tunneling in two-dimensional coupled potentials is considered within Bohmian approach to quantum mechanics. Quantum trajectories tend to go along the paths where potential energy increases and then decreases. It leads…

Chemical Physics · Physics 2007-05-23 Dmytro Babyuk

We propose an analytical approach for computing the eigenspectrum and corresponding eigenstates of a hyperbolic double well potential of arbitrary height or width, which goes beyond the usual techniques applied to quasi-exactly solvable…

Quantum Physics · Physics 2021-01-01 D. Kufel , H. Chomet , C. Figueira de Morisson Faria

Damped mechanical systems with various forms of damping are quantized using the path integral formalism. In particular, we obtain the path integral kernel for the linearly damped harmonic oscillator and a particle in a uniform gravitational…

Quantum Physics · Physics 2012-09-20 Dharmesh Jain , A. Das , Sayan Kar

By quickly modifying the shape of the effective potential of a double SQUID flux qubit from a single-well to a double-well condition, we experimentally observe an anomalous behavior, namely an alternance of resonance peaks, in the…

Superconductivity · Physics 2015-06-17 F. Chiarello , S. Spilla , M. G. Castellano , C. Cosmelli , A. Messina , R. Migliore , A. Napoli , G. Torrioli

We consider multiple collisions of quantum wave packets in one dimension. The system under investigation consists of an impenetrable wall and of two hard-core particles with very different masses. The lighter particle bounces between the…

Quantum Physics · Physics 2015-05-28 Walter Hahn , Boris V. Fine

We present quasi-analytical and numerical calculations of Gaussian wave packet solutions of the Schr\"odinger equation for two-dimensional infinite well and quantum billiard problems with equilateral triangle, square, and circular…

Quantum Physics · Physics 2009-11-10 M. A. Doncheski , S. Heppelmann , R. W. Robinett , D. C. Tussey

Quantum resonant tunneling behaviors of double-barrier structures on graphene are investigated under the tight-binding approximation. The Klein tunneling and resonant tunneling are demonstrated for the quasiparticles with energy close to…

Mesoscale and Nanoscale Physics · Physics 2014-05-02 Wei-Yin Deng , Rui Zhu , Yun-Chang Xiao , Wen-Ji Deng