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.
(Impact Factor: 7.51). 06/2010; 104(24):240402. DOI: 10.1103/PHYSREVLETT.104.240402
Source: PubMed

ABSTRACT

We study the collective dynamics of a driven two mode Bose-Hubbard model in
the Josephson interaction regime. The classical phase-space is mixed, with
chaotic and regular components, that determine the dynamical nature of the
fringe-visibility. For weak off-resonant drive, where the chaotic component is
small, the many-body dynamics corresponds to that of a Kapitza pendulum, with
the relative-phase $\varphi$ between the condensates playing the role of the
pendulum angle. Using a master equation approach we show that the modulation of
the inter-site potential barrier stabilizes the $\varphi=\pi$ 'inverted
pendulum' coherent state, and protects the fringe visibility.

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Available from: Amichay Vardi,
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• "Josephson junction is a class of new device made of superconducting material [1] [2] [3] [4], some of dominant advantages of this devices can be measured and detected, such as high work frequency, high sensitivity, low consumption of power, etc. [5]. Furthermore, the Josephson junction is modeled by nonlinear equations and complex but abundant dynamical behaviors [6] [7] [8] [9] [10] are simulated, some potential applications are investigated and checked [11] [12] [13] [14]. "
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ABSTRACT: The chaotic circuit of resistive–capacitive–inductive-shunted Josephson junction is used to simulate behavior of Hindmarsh–Rose neuronal discharges. Based on tracking control theory, the controller contains two gain coefficients was constructed to control the chaotic system of Josephson junction to synchronize the chaotic Hindmarsh–Rose system, and the single controller was approached analytically. The results confirmed that the controller with appropriate gain coefficients was effective to reach complete synchronization (the amplitudes and rhythms of two systems are identical), phase synchronization (rhythms of two systems are identical) of Josephson junction and Hindmarsh–Rose neurons, respectively. The power consumption is estimated in a feasible way. As a result, the electric activities of Hindmarsh–Rose neurons could be simulated by using Josephson junction model completely.
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ABSTRACT: We employ a semiclassical picture to study dynamics in a bosonic Josephson junction with various initial conditions. Phase-diffusion of coherent preparations in the Josephson regime is shown to depend on the initial relative phase between the two condensates. For initially incoherent condensates, we find a universal value for the buildup of coherence in the Josephson regime. In addition, we contrast two seemingly similar on-separatrix coherent preparations, finding striking differences in their convergence to classicality as the number of particles increases. Comment: 18 pages, 8 figures, improved version, pedagogical orientation, 3 extra appendices that are not included in the published version
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