Quantum Correlations and Speed Limit of Central Spin Systems

Abstract

In this article, single, and two‐qubit central spin systems interacting with spin baths are considered and their dynamical properties are discussed. The cases of interacting and non‐interacting spin baths are considered and the quantum speed limit (QSL) time of evolution is investigated. The impact of the size of the spin bath on the quantum speed limit for a single qubit central spin model is analyzed. The quantum correlations for (non‐)interacting two central spin qubits are estimated and their dynamical behavior with that of QSL time under various conditions are compared. How QSL time could be availed to analyze the dynamics of quantum correlations is shown.

Impact of non-Markovian evolution on characterizations of quantum thermodynamics

“…Ideas pertaining to open quantum systems are applicable to a number of scenarios (Caldeira and Leggett, 1983;Grabert et al, 1988;Louisell, 1990;Hu and Matacz, 1994;Banerjee and Ghosh, 2000;Banerjee and Ghosh, 2003;Srikanth and Banerjee, 2008;Hughes et al, 2009;Chruściński et al, 2011;Vasile et al, 2011;Breuer, 2012;Luo et al, 2012;Fanchini et al, 2014;Hall et al, 2014;Haseli et al, 2014;de Vega and Alonso, 2017;Bhattacharya et al, 2018;Kumar et al, 2018;Shrikant et al, 2018;Filippov et al, 2020;Utagi et al, 2020;Hakoshima et al, 2021;Li et al, 2023). Non-Markovian behavior, such as that caused by strong system-bath coupling, can delay decay and sometimes even cause a rebirth of quantum effects (Wang and Chen, 2013;Kumar et al, 2018;Tiwari et al, 2023). The dynamics of the quantum speed limit time, introduced below, can demonstrate how the evolution of the system of interest might alter owing to the nature of the bath (Pfeifer and Fröhlich, 1995;Deffner and Campbell, 2017).…”

“…The design and execution of quantum information processing algorithms are significantly impacted by the expansion of the QSL time to open quantum systems (Deffner and Campbell, 2017;Deffner and Lutz, 2013;del Campo et al, 2013;Pires et al, 2016). Due to its applicability to other technical areas, this has been a subject of considerable recent research (Wei et al, 2016;O'Connor et al, 2021;Aggarwal et al, 2022;Mohan et al, 2022;Baruah et al, 2023;Shahri et al, 2023;Tiwari et al, 2023). Furthermore, the idea of the lower bound for the time required to transform an initial state to a final state in a non-Markovian environment is an important area to explore from the perspective of quantum thermodynamics (Funo et al, 2019;Das et al, 2021).…”