Generic examples of PT-symmetric qubit (spin 1/2) Liouvillians

Abstract

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.

In press as Brief Report in Phys. Rev. A

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• Making Sense of Non-Hermitian Hamiltonians
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• PT-Symmetric Wave Chaos
• Experimental observation of the dual behavior of $\mathcal{P}\mathcal{T}$-symmetric scattering
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• Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems

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• Symmetry-protected coherent relaxation of open quantum systems
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• Continuous time crystals as a PT symmetric state and the emergence of critical exceptional points
• Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and $\mathcal{P}\mathcal{T}$ Symmetry Breaking