Long-lived coherence in driven many-spin systems: from two to infinite spatial dimensions

Long-lived coherences, emerging under periodic pulse driving in the disordered ensembles of strongly interacting spins, offer immense advantages for future quantum technologies, but the physical origin and the key properties of this phenomenon remain poorly understood. We theoretically investigate this effect in ensembles of different dimensionality, and predict existence of the long-lived coherences in all such systems, from two-dimensional to infinite-dimensional (where every spin is coupled to all others with similar strength), which are of particular importance for quantum sensing and quantum information processing. We explore the transition from two to infinite dimensions, and show that the long-time coherence dynamics in all dimensionalities is qualitatively similar, although the short-time behavior is drastically different, exhibiting dimensionality-dependent singularity. Our study establishes the common physical origin of the long-lived coherences in different dimensionalities, and suggests that this effect is a generic feature of the strongly coupled spin systems with positional disorder. Our results lay out foundation for utilizing the long-lived coherences in a range of application, from quantum sensing with two-dimensional spin ensembles, to quantum information processing with the infinitely-dimensional spin systems in the cavity-QED settings.

Automated summary

Long-lived coherences emerge under periodic pulse driving in disordered ensembles of strongly interacting spins, with potential for future quantum technologies. The physical origin and properties of this phenomenon remain poorly understood, but are found to exist in ensembles of different dimensionalities, from two-dimensional to infinite-dimensional systems. The transition between dimensions shows qualitatively similar long-time coherence dynamics, with dimensionality-dependent singularity in short-time behavior. The common physical origin of long-lived coherences is suggested to be a generic feature of strongly coupled spin systems with positional disorder. These results lay the foundation for utilizing long-lived coherences in various applications, ranging from quantum sensing to quantum information processing.