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Non-Hermitian gravitational effects on Bose-Einstein condensate

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arxiv 2312.15436 v1 pith:4NUAH2MS submitted 2023-12-24 physics.atom-ph

Non-Hermitian gravitational effects on Bose-Einstein condensate

classification physics.atom-ph
keywords gravitationalnon-hermitianwavefunctionpotentialsspatialbose-einsteincondensate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigated the impact of Non-Hermitian gravitational potentials on the spatial distribution of Bose-Einstein condensate (BEC) wave functions. Through numerical solutions of the Gross-Pitaevskii (GP) equation, we observed that the imaginary component of Non-Hermitian gravitational potentials affects the spatial periodicity of the BEC wave function phase, resulting in spatial displacement of the wave function's peak. By formulating equations describing the momentum of the BEC wave function with respect to Non-Hermitian gravitational potential parameters and solving and analyzing them under specific conditions, we provided a reasoned interpretation of the numerical results. Our findings contribute to exploring the physical essence of Non-Hermitian gravitational potentials and their impact on BEC, offering theoretical guidance for potential related experiments.

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