Many-body effects in the out-of-equilibrium dynamics of a composite bosonic Josephson junction

• URL: http://arxiv.org/abs/2303.14804v1
• Date: Sun, 26 Mar 2023 19:44:45 GMT
• Title: Many-body effects in the out-of-equilibrium dynamics of a composite bosonic Josephson junction
• Authors: Sudip Kumar Haldar, Anal Bhowmik, Ofir E. Alon
• Abstract summary: We study the out-of-equilibrium many-body quantum dynamics of an interacting Bose gas trapped in a one-dimensional composite double-well potential. We showed that the universality of fragmentation with respect to the number of particles corresponding to a particular interaction strength is also exhibited by the higher-order orbitals.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The out-of-equilibrium many-body quantum dynamics of an interacting Bose gas trapped in a one-dimensional composite double-well potential is studied by solving the many-body Schr\"odinger equation numerically accurately by employing the multiconfigurational time-dependent Hartree for bosons (MCTDHB) method. The composite double-well is formed by merging two deformed harmonic wells having a hump at their centre. We characterised the dynamics by the time evolution of survival probability, fragmentation, and many-particle position and momentum variances. Our study demonstrates the prominent role played by the higher orbitals in the dynamics and thereby highlighted the necessity of a many-body technique like MCTDHB which can take into account all the relevant orbitals for the accurate description of complex many-body dynamics. Further, we showed that the universality of fragmentation with respect to the number of particles corresponding to a particular interaction strength is also exhibited by the higher-order orbitals. Therefore, it is a robust phenomenon not limited to systems that can be described by two orbitals only.

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