The Bipartite and Tripartite Entanglement in <inline-formula><math display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-Symmetric System

Abstract

We consider a PT-symmetric system that involves three optical resonant elements coupled together. We investigate the quantum correlations between subsystems by calculating bipartite and tripartite entanglement. We show that when PT-symmetry is maintained, the correlations between subsystems strongly depend on the parameters describing the interaction between them and characterizing the gain and loss of energy in the system’s active and passive elements. We estimate the range of interaction parameter values for which the strongest bipartite and tripartite entanglement can be produced. Additionally, we show that the discussed system can be a source of stable entangled states.

Keywords

• PT -symmetry%22%2C%22default_operator%22%3A%22AND%22%7D%7D%7D"> <named-content content-type="equation"><inline-formula> <mml:math id="mm1112" display="block"> <mml:semantics> <mml:mi mathvariant="script">PT</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-symmetry
• bipartite entanglement
• tripartite entanglement
• negativity