The Entanglement Generation in <inline-formula> <mml:math id="mm111111" display="block"> <mml:semantics> <mml:mstyle mathvariant="bold" mathsize="normal"> <mml:mrow> <mml:mi mathvariant="script">P</mml:mi> <mml:mi mathvariant="script">T</mml:mi> </mml:mrow> </mml:mstyle> </mml:semantics> </mml:math> </inline-formula>-Symmetric Optical Quadrimer System

Abstract

We discuss a model consisting of four single-mode cavities with gain and loss energy in the first and last modes. The cavities are coupled to each other by linear interaction and form a chain. Such a system is described by a non-Hermitian Hamiltonian which, under some conditions, becomes P T -symmetric. We identify the phase-transition point and study the possibility of generation bipartite entanglement (entanglement between all pairs of cavities) in the system.

Keywords

• ??-symmetry
• entanglement
• negativity