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Indirect detection of Cosmological Constant from large $N$ entangled open quantum system

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Choudhury,  Sayantan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2004.13058.pdf
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Citation

Banerjee, S., Choudhury, S., Chowdhury, S., Das, R. N., Gupta, N., Panda, S., et al. (2022). Indirect detection of Cosmological Constant from large $N$ entangled open quantum system. Annals of Physics, 443: 168941. doi:10.1016/j.aop.2022.168941.


Cite as: https://hdl.handle.net/21.11116/0000-0006-700B-0
Abstract
In this letter, we study the indirect detection of {\it Cosmological
Constant} from an {\it open quantum system} of $N$ entangled spins, weakly
interacting with a thermal bath, a massless scalar field minimally coupled with
the static De Sitter background, by computing the spectroscopic shifts. By
assuming pairwise entanglement between spins, we construct entangled $N$ states
using a generalisation of the superposition principle. We have found that in
the realistic large $N$ limit, where the system consists of $N\sim{\cal
O}(10^3-10^4)$ spins, the corresponding spectroscopic shifts, caused by the
effective Hamiltonian of the system due to Casimir Polder interaction with the
bath, play a crucial role to determine the observationally consistent
Cosmological Constant, $\Lambda\sim {\cal O}(10^{-122})$ (Planckian units) in
the static patch of De Sitter space.