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Conserving symmetries in Bose-Einstein condensate dynamics requires many-body theory

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arxiv 1802.03746 v2 pith:HYGFXKY4 submitted 2018-02-11 cond-mat.quant-gas

Kaspar Sakmann , Jörg Schmiedmayer This is my paper · ORCID
classification cond-mat.quant-gas
keywords conservationmany-bodymomentumangularcondensatedynamicslawsrequires
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We explain from first principles why satisfying conservation laws in Bose Einstein condensate dynamics requires many-body theory. For the Gross-Pitaevskii mean-field we show analytically and numerically that conservation laws are violated. We provide examples for angular momentum and linear momentum conservation. Arbitrarily large violations occur despite negligible depletion and interaction energy. For the case of angular momentum we show through extensive many-body simulations how the conservation law can be gradually restored on the many-body level. Implications are discussed.

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Cited by 1 Pith paper

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  1. Multiconfigurational time-dependent Hartree approaches for indistinguishable particles

    cond-mat.quant-gas 2019-08 conditional novelty 2.0 of 10

    The paper is a Colloquium review of the MCTDH-X family of variational wavefunction methods for indistinguishable particles, and it contains no new research result.

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