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The dispersive interaction between a qubit and a cavity is ubiquitous incircuit and cavity quantum electrodynamics. It describes the frequency shift ofone quantum mode in response to excitations in the other, and in closed systemsis necessarily bidirectional, i.e.~reciprocal. Here, we present an experimentalstudy of a non-reciprocal dispersive-type interaction between a transmon qubitand a superconducting cavity, arising from a common coupling to dissipativeintermediary modes with broken time reversal symmetry. We characterize thequbit-cavity dynamics, including asymmetric frequency pulls and photonshot-noise dephasing, under varying degrees of non-reciprocity by tuning themagnetic field bias of a ferrite component in situ. Furthermore, we show thatthe qubit-cavity dynamics is well-described in a wide parameter regime by asimple non-reciprocal master-equation model, which provides a compactdescription of the non-reciprocal interaction without requiring a fullunderstanding of the complex dynamics of the intermediary system. Our resultprovides an example of quantum non-reciprocal phenomena beyond the typicalparadigms of non-Hermitian Hamiltonians and cascaded systems.

Dispersive Non-reciprocity between a Qubit and a Cavity