Emergent quantum mechanics as a thermal ensemble

Córdoba, Pedro Fernández de; Isidro, J. M.; Perea, Milton H.

doi:10.48550/arxiv.1304.6295

Cited by 1 publication

(2 citation statements)

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“…[35] acts as a thermal state. However, as is obvious, higher moments such as φ(x) 3 , φ(x) 4 , etc will differ. Therefore, all physical quantities which depend only on the smallest moment of the field fluctuations will lead to the same result whether one consider the thermal Green's function or the Wightman function constructed from the Fock state.…”

Section: Detector Responsementioning

confidence: 99%

“…It is well-known that for an uniformly accelerated observer, the fluctuations of a quantum field in the inertial vacuum state appear to be identical to the thermal fluctuations of an real thermal bath indicating some kind of equivalence between thermal and vacuum fluctuations [1,2]. There have also been suggestions that quantum and statistical fluctuations, including thermal ones, are essentially identical [3] (see also [4]). In a recent paper [5], we explored this relationship between thermal and quantum fluctuations beyond the context of the vacuum state.…”

Section: Introductionmentioning

confidence: 97%

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Quantum field theory in the Rindler-Rindler spacetime

Kolekar

Padmanabhan

2014

Phys. Rev. D

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It is well known that Minkowski vacuum appears as a thermal bath in the Rindler spacetime when the modes on the left wedge are traced out. We introduce the concept of a Rindler-Rindler spacetime, obtained by a further coordinate transformation from the Rindler spacetime, in a manner similar to the transformation from inertial to Rindler frame. We show that the Rindler vacuum appears as a thermal state in the Rindler-Rindler frame. Further, the spectrum of particles seen by the Rindler-Rindler observers in the original Minkowski vacuum state is shown to be identical to that seen by detector accelerating through a real thermal bath. Thus the Davies-Unruh effect acts as a proxy for a real thermal bath, for a certain class of observers in the Rindler-Rindler spacetime. We interpret this similarity as indicating further evidence of the indistinguishablity between thermal and quantum fluctuations along the lines of the recent work in arXiv:1308.6289. The implications are briefly discussed.Comment: 12 pages, no figur

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Section: Detector Responsementioning

confidence: 99%