Heating Through Phonon Excitation Implied by Collapse Models

Abstract

We calculate the rate of heating through phonon excitation implied by the noise postulated in mass-proportional-coupled collapse models, for a general noise power spectrum. For white noise with reduction rate $\lambda$, the phonon heating rate reduces to the standard formula, but for non-white noise with power spectrum $\lambda (\omega )$, the rate $\lambda$ is replaced by ${\lambda }_{\mathrm{eff}}=\frac{2}{3{\pi }^{3/2}}\int d^{3}w{e}^{-{\vec{w}}^2}{\vec{w}}^2\lambda ({\omega }_L(\vec{w}/r_c))$, with ${\omega }_L(\vec{q})$ the longitudinal acoustic phonon frequency as a function of wave number $\vec{q}$, and with $r_C$ the noise correlation length. Hence if the noise power spectrum is cut off below ${\omega }_L(|\vec{q}|\sim r_c^{-1})$, the heating rate is sharply reduced.

Latex, 7 pages; v2 & v3 have Ref. 7 updated, and Added Notes and Appendix dealing with the multi-atom unit cell case

References in corpus (10)

• Lower and Upper Bounds on CSL Parameters from Latent Image Formation and IGM Heating
• Optomechanical sensing of spontaneous wave-function collapse
• Heating of trapped ultracold atoms by collapse dynamics
• CSL Collapse Model Mapped with the Spontaneous Radiation
• Heating Through Phonon Excitation Implied by Collapse Models
• Bulk Heating Effects as Tests for Collapse Models
• Testing spontaneous wave-function collapse models on classical mechanical oscillators
• Photon emission rate from atomic systems in the CSL model
• Testing Linearity of Quantum Theory with a Thermometer
• On the Energy Increase in Space-Collapse Models

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