Can spacetime fluctuations generate entanglement between co-moving accelerated detectors?

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Barman, Dipankar, Majhi, Bibhas Ranjan
Format: Preprint
Published: 2025
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866909640404500480
author Barman, Dipankar
Majhi, Bibhas Ranjan
author_facet Barman, Dipankar
Majhi, Bibhas Ranjan
contents Recent studies [Class. Quant. Grav. 42, 03LT01 (2025); Phys. Rev. D 111, 045023 (2025)] indicate that in a nested sequence of Rindler wedges, vacuum of former Rindler frame appears to be thermally populated for an observer in shifted Rindler frame. Interestingly, this thermality is independent of shift parameter as long as it is non-zero and therefore arises even if the shift parameter is as small as Planck length. Building on this insight, we propose a set-up involving two atoms accelerating with identical acceleration. We find that if their Rindler frames (consequently their trajectories) get infinitesimally separated, the atoms become entangled. Remarkably again, this entanglement, like the perceived thermality, is independent of the shift parameter, provided it is non-vanishing. Further we observe the vanishing of mutual information and discord. It implies the absence of both classical and non-classical correlations which are not related to entanglement. We investigate the dependence of entanglement on acceleration of the detectors. The present study indicates that the entanglement between two detectors, moving on the same Rindler wedge, is possible. Moreover, small spacetime fluctuations can lead to entanglement between detectors, moving along same classical trajectory. Hence we feel that such theoretical prediction has potential to probe the Planck length nature of spacetime.
format Preprint
id arxiv_https___arxiv_org_abs_2504_12674
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Can spacetime fluctuations generate entanglement between co-moving accelerated detectors?
Barman, Dipankar
Majhi, Bibhas Ranjan
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
Recent studies [Class. Quant. Grav. 42, 03LT01 (2025); Phys. Rev. D 111, 045023 (2025)] indicate that in a nested sequence of Rindler wedges, vacuum of former Rindler frame appears to be thermally populated for an observer in shifted Rindler frame. Interestingly, this thermality is independent of shift parameter as long as it is non-zero and therefore arises even if the shift parameter is as small as Planck length. Building on this insight, we propose a set-up involving two atoms accelerating with identical acceleration. We find that if their Rindler frames (consequently their trajectories) get infinitesimally separated, the atoms become entangled. Remarkably again, this entanglement, like the perceived thermality, is independent of the shift parameter, provided it is non-vanishing. Further we observe the vanishing of mutual information and discord. It implies the absence of both classical and non-classical correlations which are not related to entanglement. We investigate the dependence of entanglement on acceleration of the detectors. The present study indicates that the entanglement between two detectors, moving on the same Rindler wedge, is possible. Moreover, small spacetime fluctuations can lead to entanglement between detectors, moving along same classical trajectory. Hence we feel that such theoretical prediction has potential to probe the Planck length nature of spacetime.
title Can spacetime fluctuations generate entanglement between co-moving accelerated detectors?
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
url https://arxiv.org/abs/2504.12674