Generic examples of PT-symmetric qubit (spin 1/2) Liouvillians
  We outline two general classes of examples of PT-symmetric quantum Liouvillian dynamics of open many qubit systems, namely interacting hard-core bosons (or more general XYZ-type spin 1/2 systems) with, either (i) pure dephasing noise, or (ii) having solely single particle/spin injection/absorption incoherent processes. 
Tomaz Prosen
quant-ph cond-mat.stat-mech math-ph math.MP