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The Bose-Einstein condensate (BEC) of excited states, provides a differentplatform to explore the interplay between gravity and quantum physics. In thisLetter, we study the response of excited-state BECs to an externalgravitational field and their dynamics under gravity when space is expanding.We reveal the anomalous response of the center-of-mass of the BEC to thegravitational field and the exotic gravity-induced accelerating expansionphenomena. We demonstrate that these effects result from the interplay amonggravity, space and quantum effects. We also propose related experiments toobserve these anomalies.

Gravity-induced accelerating expansion of excited-state Bose-Einstein condensate