Eur. Phys. J. Plus (2020) 135: 357
https://doi.org/10.1140/epjp/s13360-020-00373-0

Regular Article

Phonon-mediated quantum discord in dark solitons

¹ Instituto Superior Técnico, University of Lisbon and Instituto de Telecomunicações, Torre Norte, Av. Rovisco Pais 1, Lisbon, Portugal
² University of Engineering and Technology, Lahore (RCET Campus), Lahore, Pakistan
³ LPHE-Modeling and Simulation, Faculty of Sciences, University Mohammed V, Rabat, Morocco
⁴ Instituto Superior Técnico and Instituto de Plasmas e Fusão Nuclear, Lisbon, Portugal
⁵ Department of Physics, Faculty of Sciences, University Ibn Tofail, Kenitra, Morocco
⁶ Abdus Salam International Centre for Theoretical Physics, Miramare, Trieste, Italy

^* e-mail: muzzamalshaukat@gmail.com

Received: 31 October 2019
Accepted: 1 April 2020
Published online: 15 April 2020

Abstract

We investigate the quantum correlation dynamics in dark-soliton qubits with a special attention to quantum discord. Recently, dark-soliton qubit exhibiting appreciably long lifetime is proved to be an excellent candidate for information processing. Depending on the precise distance between the dark-soliton qubits, the decay rate of Dicke symmetric and antisymmetric state is suppressed or enhanced. With the Renyi-2 entropy, we derive a simple analytical expression for the quantum discord and explore the generation and decay of correlation for different initial states. We believe that the present work could pave the stage for a new generation of quantum discord based purely on matter-wave phononics.