Article

# Nonlinear phase dynamics in a driven bosonic Josephson junction.

Department of Chemistry, Ben-Gurion University of the Negev, Post Office Box 653, Beer-Sheva 84105, Israel.

Physical Review Letters (Impact Factor: 7.73). 06/2010; 104(24):240402. DOI: 10.1103/PHYSREVLETT.104.240402 Source: PubMed

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**ABSTRACT:**Despite its apparent simplicity, the idealized model of a particle constrained to move on a circle has intriguing dynamic properties and immediate experimental relevance. While a rotor is rather easy to set up classically, the quantum regime is harder to realize and investigate. Here we demonstrate that the quantum dynamics of quasiparticles in certain classes of nanostructured superconductors can be mapped onto a quantum rotor. Furthermore, we provide a straightforward experimental procedure to convert this nanoscale superconducting rotor into a regular or inverted quantum pendulum with tunable gravitational field, inertia, and drive. We detail how these novel states can be detected via scanning tunneling spectroscopy. The proposed experiments will provide insights into quantum dynamics and quantum chaos.Scientific Reports 01/2014; 4:4542. · 5.08 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We extend the theory of Kapitza stabilization within the complex domain, i.e., for the case of an imaginary oscillating potential. At a high oscillation frequency, the quasienergy spectrum is found to be entirely real valued; however, a substantial difference with respect to a real potential emerges, that is, the formation of a truly bound state instead of a resonance. The predictions of the Kapitza averaging method and the transition from a complex to an entirely real-valued quasienergy spectrum at high frequencies are confirmed by numerical simulations of the Schrödinger equation for an oscillating Gaussian potential. An application and a physical implementation of the imaginary Kapitza pendulum to the stability of optical resonators with variable reflectivity is discussed.Physical Review A 11/2013; · 3.04 Impact Factor -
##### Article: The imaginary Kapitza pendulum

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**ABSTRACT:**We extend the theory of Kapitza stabilization within the complex domain, i.e. for the case of an imaginary oscillating potential. At a high oscillation frequency, the quasi-energy spectrum is found to be entirely real-valued, however a substantial difference with respect to a real potential emerges, that is the formation of a truly bound state instead of a resonance. The predictions of the Kapitza averaging method and the transition from a complex to an entirely real-valued quasi-energy spectrum at high frequencies are confirmed by numerical simulations of the Schrodinger equation for an oscillating Gaussian potential. An application and a physical implementation of the imaginary Kapitza pendulum to the stability of optical resonators with variable reflectivity is discussed.10/2013;

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