Dynamics of two central spins immersed in spin baths

Quantum Correlations and Speed Limit of Central Spin Systems

“…These are called the global or local bath scenarios, respectively. In the literature, [48,49] the central spin model is solved using the Holstein-Primakoff transformation. Here we have exactly solved the single and two-qubit central spin models numerically and studied the impact of interacting bath spins.…”

“…Here 2 contrasts the single qubit dynamics studied from the perspective of Holstein-Primakoff transformation [48,49] and numerically, as in this work. Even though the general profile of both the solutions is qualitatively similar, we observe that for the interacting bath spins scenario, Figure 2b, the fluctuations seen in the solution obtained via the Holstein-Primakoff transformation are smoothed out in the exact solution.…”

“…We divide the model into two categories, namely, (local-)global bath scenarios depending upon the (non-)interaction between the two central spins. [49,57] Further, we also differentiate the above models based on the interaction of bath spins with each other.…”

“…[43][44][45] In general, comprehending the subtlety of the environment's impact on the quantum system is a non-trivial task. In this work, we discuss the central spin system, [46,47] both single as well as double spin systems, [48,49] interacting with spin bath(s) and investigate the corresponding evolution under various conditions. The class of spin bath models [50] are of immense interest in the quantum theory of magnetism, [51] quantum spin glasses, [52] quantum batteries, [53] NV-center, [54] theory of conductors and superconductors.…”

“…The class of spin bath models [ 50 ] are of immense interest in the quantum theory of magnetism, [ 51 ] quantum spin glasses, [ 52 ] quantum batteries, [ 53 ] NV‐center, [ 54 ] theory of conductors and superconductors. [ 55 ] In a previous work [ 49 ] pertaining to two central spins immersed in spin baths with interacting bath spins, the dynamical map of the reduced system using Holstein–Primakoff transformation was derived, and its non‐Markovian behavior is studied. Here we investigate the QSL time and the dynamics of quantum correlations of the central spin system interacting with the spin bath.…”