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We determine with unprecedented accuracy the lowest 900 eigenvalues of two quantum constant-width billiards from resonance spectra measured with flat, superconducting microwave resonators. While the classical dynamics of the constant-width…

Chaotic Dynamics · Physics 2014-12-19 B. Dietz , T. Guhr , B. Gutkin , M. Miski-Oglu , A. Richter

We present lower bounds on tunneling rates in magnetic double well systems for generic values of the coupling constant. This result was recently announced in \cite{FSW24} and complements our recent counter-example construction which…

Mathematical Physics · Physics 2025-11-18 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein

The tunneling effect is the most popular phenomenon of quantum physics and is present in modern physical theories. Still, the most important features of this effect are already present in toy models - low dimensional quantum mechanics with…

Quantum Physics · Physics 2013-02-07 Zbigniew Ambrozinski

Dynamical localization of a tunneling system by means of an oscillating external field is examined for an arbitrary doublet of tunneling states. We show that the condition of an exact crossing of Floquet levels, required for localization in…

Condensed Matter · Physics 2007-05-23 J. Stockburger , C. H. Mak

The precise control of quantum systems will play a major role in the realization of atomtronic devices. As in the case of electronic systems, a desirable property is the ability to implement switching. Here we show how to implement…

A Bose-Einstein condensate in a modulated, one-dimensional, anharmonic potential can exhibit dynamical tunneling between islands of regular motion in phase space. With increasingly repulsive atomic interactions, dynamical tunneling is…

Quantum Gases · Physics 2024-09-10 Sebastian Wüster , Joy Cree , Matthew J. Davis

Employing the time-dependent approach, we investigate a quantum tunneling decay of many-particle systems. We apply it to a one-dimensional three-body problem with a heavy core nucleus and two valence protons. We calculate the decay width…

Nuclear Theory · Physics 2015-06-05 Takahito Maruyama , Tomohiro Oishi , Kouichi Hagino , Hiroyuki Sagawa

This article investigates the properties of a few interacting particles trapped in a few wells and how these properties change under adiabatic tuning of interaction strength and inter-well tunneling. While some system properties are…

Quantum Physics · Physics 2017-05-18 N. L. Harshman

We study the dissipative dynamics of a two-level system (TLS) exposed to strong ac driving. By combing Floquet theory with Van Vleck perturbation theory in the TLS tunneling matrix element, we diagonalize the time-dependent Hamiltonian and…

Quantum Physics · Physics 2010-02-24 Johannes Hausinger , Milena Grifoni

Optimizing the probability of quantum tunneling between two states, while keeping the resources of the underlying physical system constant, is a task of key importance due to its critical role in various applications. We show that, by…

We demonstrate theoretically that it is possible to use Rabi oscillations to coherently control the electron tunneling in an asymmetric double quantum dot system, a quantum dot molecule. By applying an optical pump pulse we can excite an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. M. Villas-Boas , A. O. Govorov , Sergio E. Ulloa

We analyze the interaction of a triple quantum dot molecules controlled by the tunneling coupling instead of coupling laser. A general analytic expression for the steady-state linear susceptibility for a probe-laser field is obtained and we…

Optics · Physics 2013-10-18 Si-Cong Tian , Cun-Zhu Tong , Ren-Gang Wan , Yong-Qiang Ning , Li-Jun Wang

The dynamics of electrons in ac driven double quantum dots have been extensively analyzed by means of Floquet theory. In these systems, coherent destruction of tunneling has been shown to occur for certain ac field parameters. In the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 J Villavicencio , I Maldonado , E Cota , G Platero , .

The equal-interval splitting of quantum tunneling observed in simple-Ising-model systems of Ni$_{4}$ (3D) and Mn$_3$ (2D) single-molecule magnets (SMMs) is reported. The splitting is due to the identical exchange coupling in the SMMs, and…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Yan-Rong Li , Rui-Yuan Liu , Hai-Qing Liu , Yun-Ping Wang

The dynamical control of tunneling processes of single particles plays a major role in science ranging from Shapiro steps in Josephson junctions to the control of chemical reactions via light in molecules. Here we show how such control can…

We numerically construct and study the control landscape of a $(\omega,2\omega)$ bichromatically driven double well in the presence of strong fields. The control landscape is obtained by correlating the overlap intensities between the…

Chaotic Dynamics · Physics 2011-11-10 Astha Sethi , Srihari Keshavamurthy

We simulate the time-dependent coherent dynamics of a spatially indirect exciton (an electron-hole pair with the two particles confined in different layers) in a GaAs coupled quantum well system. We use a unitary wave-packet propagation…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Federico Grasselli , Andrea Bertoni , Guido Goldoni

Exact solutions for spin-orbit (SO) coupled cold atomic systems are very important and rare in physics. In this paper, we propose a simple method of combined modulations to generate the analytic exact solutions for an SO-coupled boson held…

Quantum Physics · Physics 2022-10-26 Yunrong Luo , Xuemei Wang , Jia Yi , Wenjuan Li , Xin Xie , Wenhua Hai

We have investigated how the dynamics of a quantum particle initially localized in the left boundary site under periodic driving can be manipulated via control of the right boundary site of a lattice array. Because of the adjustable…

Quantum Physics · Physics 2016-01-13 Liping Li , Xiaobing Luo , Xin-You Lü , Xiaoxue Yang , Ying Wu

It is well-known that increasing the nonlinearity due to repulsive atomic interactions in a double-well Bose-Einstein condensate suppresses quantum tunnelling between the two sites. Here we find analogous behaviour in the dynamical…

Quantum Physics · Physics 2015-03-19 Sebastian Wüster , Beata J. Dabrowska-Wüster , Matthew J. Davis