Bose-Einstein condensate as a quantum gravity probe; "Erste Abhandlung"

• URL: http://arxiv.org/abs/2404.06060v1
• Date: Tue, 9 Apr 2024 06:57:00 GMT
• Title: Bose-Einstein condensate as a quantum gravity probe; "Erste Abhandlung"
• Authors: Soham Sen, Sunandan Gangopadhyay,
• Abstract summary: We consider a Bose-Einstein condensate interacting with a gravitational wave for the case when the gravitational fluctuations are quantized. We observe that the solution of the time-dependent part of the pseudo-Goldstone boson has infusions from the noise induced by gravitons. We observe the effect of decoherence due to interacting phonon modes in the quantum gravitational Fisher information.
• Score: 0.11704154007740832
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We consider a Bose-Einstein condensate interacting with a gravitational wave for the case when the gravitational fluctuations are quantized in order to incorporate quantum gravity effects into the theory. We observe that the solution of the time-dependent part of the pseudo-Goldstone boson has infusions from the noise induced by gravitons and the corresponding differential equation of motion is Langevin-like. Using this result, we obtain the quantum gravity modified Fisher information which has been termed as the quantum gravitational Fisher information (QGFI). The inverse square root of the stochastic average of the QGFI gives the minimum uncertainty in the measurement of the gravitational wave amplitude. The minimum uncertainty does not go to infinity as the measurement time approaches zero in a quantum gravity setup rather it has a measurable finite value for gravitons with high squeezing. Finally, we observe the effect of decoherence due to interacting phonon modes in the QGFI and observe a less obvious decoherence effect for higher squeezing of the initial graviton.

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