Content deleted Content added
Citation bot (talk | contribs) Add: page, authors 1-1. Removed parameters. Some additions/deletions were parameter name changes. | Use this bot. Report bugs. | Suggested by Abductive | Category:Interpretations of quantum mechanics | #UCB_Category 6/25 |
m Open access bot: arxiv updated in citation with #oabot. |
||
Line 66:
The CSL model consistently describes the collapse mechanism as a dynamical process. It has, however, two weak points.
* ''CSL does not conserve the energy of isolated systems''. Although this increase is small, it is an unpleasant feature for a phenomenological model.<ref name=":2" /> The dissipative extensions of the CSL model<ref name=":13">{{Cite journal|last1=Smirne|first1=Andrea|last2=Bassi|first2=Angelo|date=2015-08-05|title=Dissipative Continuous Spontaneous Localization (CSL) model|journal=Scientific Reports|language=en|volume=5|issue=1|page=12518|doi=10.1038/srep12518|pmid=26243034|pmc=4525142|arxiv=1408.6446|bibcode=2015NatSR...512518S|issn=2045-2322|doi-access=free}}</ref><ref>{{Cite journal |last1=Di Bartolomeo |first1=Giovanni |last2=Carlesso |first2=Matteo |last3=Piscicchia |first3=Kristian |last4=Curceanu |first4=Catalina |last5=Derakhshani |first5=Maaneli |last6=Diósi |first6=Lajos |date=2023-07-06 |title=Linear-friction many-body equation for dissipative spontaneous wave-function collapse |url=https://link.aps.org/doi/10.1103/PhysRevA.108.012202 |journal=Physical Review A |language=en |volume=108 |issue=1 |page=012202 |doi=10.1103/PhysRevA.108.012202 |issn=2469-9926|arxiv=2301.07661 }}</ref> gives a remedy. One associates to the collapse noise a finite temperature <math>T_{ CSL}</math> at which the system eventually [[Thermalisation|thermalizes]].{{clarify|What does this mean?|date=August 2020}} Thus, as an example, for a free point-like particle of mass <math>m</math> in three dimensions, the energy evolution in Ref. <ref name=":13" /> is described by<math display="block">
E(t)=e^{-\beta t}(E(0)-E_{ as})+E_{ as},
</math>where <math>
E_{ as}=\tfrac32 k_B T_{ CSL}</math>, <math>\beta=4 \chi \lambda /(1+\chi)^5</math> and <math>\chi=\hbar^2/(8 m_0 k_B T_{ CSL}r_C^2)</math>. Assuming that the CSL noise has a cosmological origin (which is reasonable due to its supposed universality), a plausible value such a temperature is <math>T_{ CSL}=1</math> K, although only experiments can indicate a definite value. Several interferometric<ref name=":4" /><ref name=":10" /> and non-interferometric<ref name=":7" /><ref name=":11" /><ref>{{Cite journal|last1=Nobakht|first1=J.|last2=Carlesso|first2=M.|last3=Donadi|first3=S.|last4=Paternostro|first4=M.|last5=Bassi|first5=A.|date=2018-10-08|title=Unitary unraveling for the dissipative continuous spontaneous localization model: Application to optomechanical experiments|journal=Physical Review A|volume=98|issue=4|pages=042109|doi=10.1103/PhysRevA.98.042109|arxiv=1808.01143|bibcode=2018PhRvA..98d2109N|hdl=11368/2929989|s2cid=51959822|hdl-access=free}}</ref><ref>{{Cite journal |last1=Di Bartolomeo |first1=Giovanni |last2=Carlesso |first2=Matteo |date=2024-04-01 |title=Experimental bounds on linear-friction dissipative collapse models from levitated optomechanics |url=https://iopscience.iop.org/article/10.1088/1367-2630/ad3842 |journal=New Journal of Physics |volume=26 |issue=4 |pages=043006 |doi=10.1088/1367-2630/ad3842 |issn=1367-2630|arxiv=2401.04665 }}</ref> tests bound the CSL parameter space for different choices of <math>T_{CSL}</math>.
* ''The CSL noise spectrum is white''. If one attributes a physical origin to the CSL noise, then its spectrum cannot be white, but colored. In particular, in place of the [[white noise]] <math>w_t({\bf x})</math>, whose correlation is proportional to a Dirac delta in time, a [[Colors of noise|non-white noise]] is considered, which is characterized by a non-trivial temporal correlation function <math>f(t)</math>. The effect can be quantified by a rescaling of <math>F_{{ CSL}}(k,q,t)</math>, which becomes<math display="block">
| |||