Tunable Non-Markovianity for Bosonic Quantum Memristors

We studied the tunable control of the non-Markovianity of a bosonic mode due to its coupling to a set of auxiliary qubits, both embedded in a thermal reservoir. Specifically, we considered a single cavity mode coupled to auxiliary qubits described by the Tavis-Cummings model. As a figure of merit, we define the dynamical non-Markovianity as the tendency of a system to return to its initial state, instead of evolving monotonically to its steady state. We studied how this dynamical non-Markovianity can be manipulated in terms of the qubit frequency. We found that the control of the auxiliary systems affects the cavity dynamics as an effective time-dependent decay rate. Finally, we show how this tunable time-dependent decay rate can be tuned to engineer bosonic quantum memristors, involving memory effects that are fundamental for developing neuromorphic quantum technologies.

Automated summary

We investigated the tunable control of non-Markovianity in a bosonic mode by coupling it to auxiliary qubits in a thermal reservoir. By considering the Tavis-Cummings model for a single cavity mode and auxiliary qubits, we studied the manipulation of dynamical non-Markovianity with respect to the qubit frequency. Our findings reveal that controlling the auxiliary systems can influence the cavity dynamics as a time-dependent decay rate. Finally, we demonstrate how this tunable time-dependent decay rate can be used to engineer bosonic quantum memristors, which are essential for developing neuromorphic quantum technologies.