Quantum correlations and speed limit of central spin system

Abstract

In this article, we consider single, and two-qubit central spin systems interacting with spin baths and discuss their dynamical properties. We consider the cases of interacting and non-interacting spin baths and investigate the quantum speed limit (QSL) time of evolution. The impact of the size of the spin bath on the quantum speed limit for a single qubit central spin model is analyzed. We estimate the quantum correlations for (non-)interacting two central spin qubits and compare their dynamical behaviour with that of QSL time under various conditions. We show how QSL time could be availed to analyze the dynamics of quantum correlations.

10 pages, 13 figures

References in corpus (12)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
• Completely Positive Post-Markovian Master Equation via a Measurement Approach
• Entanglement and work extraction in the central-spin quantum battery
• Geometric Phase of a qubit interacting with a squeezed-thermal bath
• Facets of quantum information under non-Markovian evolution
• From quantum speed limits to energy-efficient quantum gates
• Parrondo's game using a discrete-time quantum walk
• Dynamics of two central spins immersed in spin baths
• Phase covariant channel: Quantum speed limit of evolution
• Quantum Discord and Logarithmic Negativity in the Generalized n-qubit Werner State

Cited by in corpus (11)

• Strong coupling non-Markovian quantum thermodynamics of a finite-bath system
• Impact of non-Markovian evolution on characterizations of quantum thermodynamics
• (Thermo-)dynamics of the spin-boson model in the weak coupling regime: Application as a quantum battery
• Bipartite OTOC in open quantum systems: information scrambling and irreversibility
• Quantum speed of evolution of neutral mesons
• Quantum Chaos in Non-Markovian Open Quantum Systems: Interferometric OTOC, Loschmidt Echo and Commutator Operator Norm
• Quantum speed limit and nonclassicality in open quantum system models using the Wigner function
• $\mathcal{P}\mathcal{T}-$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets
• Interferometric and Bipartite OTOC for Non-Markovian Open Quantum Spin-Chains and Lipkin-Meshkov-Glick Model
• Collective Quantum Batteries and Charger-Battery Setup in Open Quantum Systems: Impact of Inter-Qubit Interactions, Dissipation, and Quantum Criticality
• Emergent mirror symmetry in the optimization of the central-spin quantum battery