Open quantum entanglement: a study of two atomic system in static patch of de Sitter space

In 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 en...

Full description

Saved in:
Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2020-08, Vol.80 (8), p.1-38, Article 748
Main Authors: Akhtar, Samim, Choudhury, Sayantan, Chowdhury, Satyaki, Goswami, Debopam, Panda, Sudhakar, Swain, Abinash
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Atoms & subatomic particles
Cosmology
Density
Elementary Particles
Entropy
Equilibrium
Exact solutions
Hadrons
Heavy Ions
Information theory
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum entanglement
Quantum Field Theories
Quantum Field Theory
Quantum mechanics
Quantum theory
Regular Article - Theoretical Physics
Scalars
Science education
Spacetime
String Theory
Subsystems
Thermal baths
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In 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 ′ 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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-020-8302-2