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We present a simple quantum theory of a bosonic trimer in a triangularconfiguration, subject to gain and loss in an open quantum systems approach.Importantly, the coupling constants between each oscillator are augmented bycomplex arguments, which give rise to various asymmetries. In particular, onemay tune the complex phases to induce chiral currents, including the specialcase of completely unidirectional (or one-way) circulation when certainconditions are met regarding the coherent and incoherent couplings. When ourgeneral theory is recast into a specific non-Hermitian Hamiltonian, we findinteresting features in the trimer population dynamics close to the exceptionalpoints between phases of broken and unbroken $\mathcal{PT}$ symmetry. Ourtheoretical work provides perspectives for the experimental realization ofchiral transport at the nanoscale in a variety of accessible nanophotonic andnanoplasmonic systems, and paves the way for the potential actualization ofnonreciprocal devices.

Chiral current circulation and $\mathcal{PT}$ symmetry in a trimer of oscillators