Titlebook: Non-equilibrium Dynamics of Tunnel-Coupled Superfluids; Relaxation to a Phas Marine Pigneur Book 2020 The Editor(s) (if applicable) and The

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Theoretical Framework, is treated using the Gross-Pitaevskii Equation (GPE) while the description of the transverse dynamics relies on the Two-Mode Bose Hubbard Model (TMBH) in the mean-field formalism. We establish in this chapter the analytical solution of the BJJ based on an analogy with a mechanical pendulum publishe

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Experimental Setup and Measurement of the Observables, the atom chip, which constitutes a versatile tool to manipulate coherently the Bose gases. Thereafter, we detail the techniques to measure and analyze the conjugate variables of the dynamics: phase difference and atomic imbalance.

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Relaxation of the Josephson Oscillations in a 1D-BJJ,eparation of the non-equilibrium initial state and demonstrate experimentally the relaxation of the Josephson oscillating dynamics. A quantitative discussion is made possible by an empirical model (Pigneur and Schmiedmayer, Phys Rev A 98(6):063632, 2018). We establish a timescale of the relaxation a

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2190-5053 pulation and relative phase of the two wave packets, while preserving the phase coherence. By re-coupling the two wave packets, the author investigates tunneling regimes such as Josephson (plasma) oscillations 978-3-030-52846-1978-3-030-52844-7Series ISSN 2190-5053 Series E-ISSN 2190-5061

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Book 2020the preparation of a broad variety of initial states by precisely adjusting the initial population and relative phase of the two wave packets, while preserving the phase coherence. By re-coupling the two wave packets, the author investigates tunneling regimes such as Josephson (plasma) oscillations

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