Abstract
AbstractIn this work, our prime objective is to study non-locality and long range effect of two body correlation using quantum entanglement from various information theoretic measure in the static patch of de Sitter space using a two body Open Quantum System (OQS). The OQS is described by a system of two entangled atoms, surrounded by a thermal bath, which is modelled by a massless probe scalar field. Firstly, we partially trace over the bath field and construct the Gorini Kossakowski Sudarshan Lindblad (GSKL) master equation, which describes the time evolution of the reduced subsystem density matrix. This GSKL master equation is characterized by two components, these are-Spin chain interaction Hamiltonian and the Lindbladian. To fix the form of both of them, we compute the Wightman functions for probe massless scalar field. Using this result alongwith the large time equilibrium behaviour we obtain the analytical solution for reduced density matrix. Further using this solution we evaluate various entanglement measures, namely Von-Neumann entropy, R$$e'$$e′nyi entropy, logarithmic negativity, entanglement of formation, concurrence and quantum discord for the two atomic subsystem on the static patch of De-Sitter space. Finally, we have studied violation of Bell-CHSH inequality, which is the key ingredient to study non-locality in primordial cosmology.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference66 articles.
1. Daniel A.L., Lecture Notes on the Theory of Open Quantum Systems. arXiv:1902.00967
2. S. Choudhury, The Cosmological OTOC: formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory. arXiv:2005.11750 [hep-th]
3. K. Y. Bhagat, B. Bose, S. Choudhury, S. Chowdhury, R. N. Das, S. G.Dastider, N. Gupta, A. Maji, G. D. Pasquino, S. Paul, TheGeneralized OTOC from Supersymmetric Quantum Mechanics: Study ofRandom Fluctuations from Eigenstate Representation of CorrelationFunctions. arXiv:2008.03280 [hep-th]
4. S. Banerjee, V. Ravishankar, R. Srikanth, Dynamics of entanglement in two-qubit open quantum system interacting with a squeezed thermal bath via dissipative interaction. Ann. Phys. (NY). 325, 816 (2010). arXiv:0901.0404
5. R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, Quantum entanglement. Rev. Mod. Phys. 81, 865 (2009). arXiv:quant-ph/0702225
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