Gravitationally induced entanglement at finite temperature: A memory-driven time-crystalline phase?

• URL: http://arxiv.org/abs/2503.19688v1
• Date: Tue, 25 Mar 2025 14:15:38 GMT
• Title: Gravitationally induced entanglement at finite temperature: A memory-driven time-crystalline phase?
• Authors: Mainak Dutta, Partha Nandi, Bibhas Ranjan Majhi,
• Abstract summary: We study the impact of thermal effects on gravity-induced entanglement (GIE) in a system of quantum harmonic oscillators interacting with classical gravitational waves (GWs)<n>We identify a mixing of Bose-Einstein and Maxwell-Boltzmann distributions driven by thermal influences, which affects the statistical behavior of the quantum subsystem.<n>Our findings indicate that such effects could provide new theoretical insights into classical gravitational wave interactions.
• Score: 0.44998333629984877
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the impact of thermal effects on gravity-induced entanglement (GIE) in a system of quantum harmonic oscillators interacting with classical linearly polarized gravitational waves (GWs). Specifically, we model the endpoints of interferometer arms in LIGO-like detectors as two-dimensional oscillators. Following the thermofield dynamics (TFD) approach, our analysis reveals that while thermal effects alone do not generate entanglement between independent oscillator modes, they serve as a catalyst, modifying the dynamical imprint of GWs. Notably, we identify a mixing of Bose-Einstein and Maxwell-Boltzmann distributions driven by thermal influences, which affects the statistical behavior of the quantum subsystem. Furthermore, gravitational interactions induce a quantum memory effect, leading to emergent periodic behavior in the reduced subsystem. This suggests a novel gravitationally induced breaking of time-translation symmetry, reminiscent of a prethermal time crystal (PTC). Our findings indicate that such effects could provide new theoretical insights into classical gravitational wave interactions.

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