Here's the arXiv link for the Pikovski et al "Universal decoherence..." and also a link to a 2015 follow-up:
http://arxiv.org/abs/1311.1095
Universal decoherence due to gravitational time dilation
Igor Pikovski,
Magdalena Zych,
Fabio Costa,
Caslav Brukner
(Submitted on 5 Nov 2013 (
v1), last revised 23 Jun 2015 (this version, v2))
The physics of low-energy quantum systems is usually studied without explicit consideration of the background spacetime... Gravity therefore can account for the emergence of classicality and the effect can in principle be tested in future matter wave experiments.
6+4 pages, 3 figures. Revised manuscript in
Nature Physics (2015)
http://inspirehep.net/record/1263356?ln=en (8 cites)
http://arxiv.org/abs/1508.03296
Time Dilation in Quantum Systems and Decoherence: Questions and Answers
Igor Pikovski,
Magdalena Zych,
Fabio Costa,
Caslav Brukner
(Submitted on 13 Aug 2015)
Recent work has shown that relativistic time dilation results in correlations between a particle's internal and external degrees of freedom, leading to decoherence of the latter. In this note, we briefly summarize the results and address the comments and concerns that have been raised towards these findings. In addition to brief replies to the comments, we provide a pedagogical discussion of some of the underlying principles of the work. This note serves to clarify some of the counterintuitive aspects arising when the two theories are jointly considered.
10 pages, 1 figure
http://inspirehep.net/record/1387746?ln=en (3 cites)
Here are links to the related Gooding&Unruh papers, to have them handy.
http://arxiv.org/abs/1407.7149
http://arxiv.org/abs/1503.05488
In the latter, G&U are critical of some aspect of the Pikovski et al paper in
Nature Physics.
You might want to check the conclusions section:
==quote Gooding and Unruh==
In the last section, we demonstrated intrinsic decoherence due to time dilation. The decoherence basis is in general a combination of position and momentum, reducing to purely position in the limit of negligible shell momentum. In the system described by Pikovski et al. [2], which includes spacetime curvature caused by the external gravitational field of the earth, the part of the time dilation decoherence that involves the position basis should vanish in the absence of the earth’s gravitational influence: without the earth, the center-of-mass coordinate they use defines the origin of an inertial frame, and in that frame the proper time associated with the center-of-mass coordinate is equal to the coordinate time [9]. However, in our system, this decoherence is present even in the limit of flat spacetime (ignoring both external gravitational fields and self-gravitation), because of the nonzero acceleration of the shell due to the position dependence of the mass (Mˆ = M (X )). We then see a confirmation that the time dilation decoherence proposed in [2] is not necessarily related to gravity, but produced by proper time differences in composite systems with nonzero accelerations.
...
...
It is still an open question whether or not Penrose-type gravitational decoherence can be demonstrated within canonical quantum gravity, without introducing any new physics (for further discussion, see [1]).
...
We have therefore arrived at a type of intrinsic decoherence similar to the “third-party” decoherence described by Stamp [5], though in contrast to the use of the Earth as the third party as proposed by Pikovski et al. [2], we have bootstrapped the idea by incorporating gravitational self-interaction, effectively producing third- party decoherence without the third party.
==endquote==
In
http://arxiv.org/abs/1508.03296 , Pikovski et al reply to Gooding and Unruh. See page 6, the first paragraph beginning after equation (7).