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Bulk heating effects as tests for collapse models

Bulk heating effects as tests for collapse models
Bulk heating effects as tests for collapse models

We discuss limits on the noise strength parameter in mass-proportional-coupled wave-function collapse models implied by bulk heating effects and examine the role of the noise power spectrum in comparing experiments of different types. This comparison utilizes a calculation of the rate of heating through phonon excitation implied by a general noise power spectrum λ(ω). We find that, in the standard heating formula, the reduction rate λ is replaced by λeff=23π3/2∫d3we-w - 2w - 2λ(ωL(w - /rc)), with ωL(q - ) being the longitudinal acoustic-phonon frequency as a function of wave number q - , and with rC being the noise correlation length. Hence if the noise power spectrum is cut off below ωL(|q - |∼rc-1), the bulk heating rate is sharply reduced, allowing compatibility with current experimental results. We suggest possible new bulk heating experiments that can be performed subject to limits placed by natural heating from radioactivity and cosmic rays. The proposed experiments exploit the vanishing of thermal transport in the low-temperature limit.

2469-9926
Adler, Stephen L.
59ee296f-da05-496a-a9e7-4b043900e8ac
Vinante, Andrea
f023d600-0537-41c4-b307-bf9cdfc1f56c
Adler, Stephen L.
59ee296f-da05-496a-a9e7-4b043900e8ac
Vinante, Andrea
f023d600-0537-41c4-b307-bf9cdfc1f56c

Adler, Stephen L. and Vinante, Andrea (2018) Bulk heating effects as tests for collapse models. Physical Review A, 97 (5), [052119]. (doi:10.1103/PhysRevA.97.052119).

Record type: Article

Abstract

We discuss limits on the noise strength parameter in mass-proportional-coupled wave-function collapse models implied by bulk heating effects and examine the role of the noise power spectrum in comparing experiments of different types. This comparison utilizes a calculation of the rate of heating through phonon excitation implied by a general noise power spectrum λ(ω). We find that, in the standard heating formula, the reduction rate λ is replaced by λeff=23π3/2∫d3we-w - 2w - 2λ(ωL(w - /rc)), with ωL(q - ) being the longitudinal acoustic-phonon frequency as a function of wave number q - , and with rC being the noise correlation length. Hence if the noise power spectrum is cut off below ωL(|q - |∼rc-1), the bulk heating rate is sharply reduced, allowing compatibility with current experimental results. We suggest possible new bulk heating experiments that can be performed subject to limits placed by natural heating from radioactivity and cosmic rays. The proposed experiments exploit the vanishing of thermal transport in the low-temperature limit.

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Accepted/In Press date: 20 February 2018
e-pub ahead of print date: 18 May 2018

Identifiers

Local EPrints ID: 421687
URI: http://eprints.soton.ac.uk/id/eprint/421687
ISSN: 2469-9926
PURE UUID: 5cfdbe1f-6ffd-46ff-baad-56633abd567a

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Date deposited: 21 Jun 2018 16:30
Last modified: 16 Dec 2019 18:09

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