Open Quantum Entanglement: A study of two atomic system in static patch of de Sitter space

作者: Samim Akhtar , Sayantan Choudhury , Satyaki Chowdhury , Debopam Goswami , Sudhakar Panda

DOI: 10.1140/EPJC/S10052-020-8302-2

关键词:

摘要: In this work, our prime objective is to study non-locality and long-range effects of two-body correlation using quantum entanglement from the various information-theoretic measures in static patch de Sitter space a Open Quantum System (OQS). The OQS described by system two entangled atoms, surrounded thermal bath, which modelled massless probe scalar field. Firstly, we partially trace over bath field construct Gorini Kossakowski Sudarshan Lindblad (GSKL) master equation, describes time evolution reduced subsystem density matrix. This GSKL equation characterized components, these are-Spin chain interaction Hamiltonian Lindbladian. To fix form both them, compute Wightman functions for Using result along with large equilibrium behaviour obtain analytical solution Further evaluate measures, namely Von-Neumann entropy, R$e'$nyi logarithmic negativity, formation, concurrence discord atomic subsystems on De-Sitter space. Finally, have studied violation Bell-CHSH inequality, key ingredient primordial cosmology.

参考文章(68)
Isaac L. Chuang, Michael A. Nielsen, Quantum Computation and Quantum Information ,(2000)
Daniel Baumann, TASI Lectures on Inflation arXiv: High Energy Physics - Theory. ,(2009)
Indranil Chakrabarty, Subhashish Banerjee, Nana Siddharth, A study of quantum correlations in open quantum systems Quantum Information & Computation. ,vol. 11, pp. 541- 562 ,(2011) , 10.26421/QIC11.7-8-1
S. Omkar, R. Srikanth, Subhashish Banerjee, Characterization of quantum dynamics using quantum error correction Physical Review A. ,vol. 91, pp. 012324- ,(2015) , 10.1103/PHYSREVA.91.012324
Charles H. Bennett, Gilles Brassard, Claude Crépeau, Richard Jozsa, Asher Peres, William K. Wootters, Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels Physical Review Letters. ,vol. 70, pp. 1895- 1899 ,(1993) , 10.1103/PHYSREVLETT.70.1895
M. B. Plenio, Logarithmic Negativity: A Full Entanglement Monotone That is not Convex Physical Review Letters. ,vol. 95, pp. 090503- ,(2005) , 10.1103/PHYSREVLETT.95.090503
Sayantan Choudhury, Supratik Pal, None, DBI Galileon inflation in background SUGRA Nuclear Physics. ,vol. 874, pp. 85- 114 ,(2013) , 10.1016/J.NUCLPHYSB.2013.05.010