https://doi.org/10.1140/epjc/s10052-020-8302-2
Regular Article - Theoretical Physics
Open quantum entanglement: a study of two atomic system in static patch of de Sitter space
1
Department of Physics, Indian Institute of Technology, Madras, Chennai, 600036, India
2
Quantum Gravity and Unified Theory and Theoretical Cosmology Group, Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, 14476, Potsdam-Golm, Germany
3
National Institute of Science Education and Research, Jatni, Bhubaneswar, Odisha, 752050, India
4
Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai, 400085, India
5
Department of Physics, Indian Institute of Technology, Kanpur, 208 016, India
6
Department of Physics, Indian Institute of Technology, Gandhinagar, Palaj, Gandhinagar, 382355, India
* e-mail: sayanphysicsisi@gmail.com
** e-mail: sayantan.choudhury@aei.mpg.de
Received:
30
January
2020
Accepted:
30
July
2020
Published online:
17
August
2020
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
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.
© The Author(s), 2020
