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Open AccessArticle

Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a Double-Well

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Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany
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Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland
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Department of Physics and Astronomy, Aarhus University, Ny Munkegade, DK-8000 Aarhus C, Denmark
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ACRI-ST, 260 route du Pin Montard, 06904 Sophia Antipolis CEDEX, France
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Freiburg Institute for Advanced Studies (FRIAS), Albert-Ludwigs-Universität Freiburg, Albertstr. 19, D-79104 Freiburg, Germany
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Authors to whom correspondence should be addressed.
Entropy 2020, 22(4), 382; https://doi.org/10.3390/e22040382
Received: 11 February 2020 / Revised: 19 March 2020 / Accepted: 20 March 2020 / Published: 26 March 2020
(This article belongs to the Special Issue Quantum Entropies and Complexity)
We examine the spectral structure and many-body dynamics of two and three repulsively interacting bosons trapped in a one-dimensional double-well, for variable barrier height, inter-particle interaction strength, and initial conditions. By exact diagonalization of the many-particle Hamiltonian, we specifically explore the dynamical behavior of the particles launched either at the single-particle ground state or saddle-point energy, in a time-independent potential. We complement these results by a characterization of the cross-over from diabatic to quasi-adiabatic evolution under finite-time switching of the potential barrier, via the associated time evolution of a single particle’s von Neumann entropy. This is achieved with the help of the multiconfigurational time-dependent Hartree method for indistinguishable particles (MCTDH-X)—which also allows us to extrapolate our results for increasing particle numbers. View Full-Text
Keywords: Bosonic systems; ultracold atomic gases; tunneling and Josephson effect; Bose–Einstein condensates in periodic potentials Bosonic systems; ultracold atomic gases; tunneling and Josephson effect; Bose–Einstein condensates in periodic potentials
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Schäfer, F.; Bastarrachea-Magnani, M.A.; Lode, A.U.J.; de Parny, L.F.; Buchleitner, A. Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a Double-Well. Entropy 2020, 22, 382.

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