Dynamics of two central spins immersed in spin baths

Abstract

In this article we derive the exact dynamics of a two qubit (spin 1/2) system interacting centrally with separate fermionic baths composed of qubits in thermal state. Further, each spin of a bath is coupled to every other spin of the same bath. The corresponding dynamical map is constructed. It is used to analyse the non-Markovian nature of the two qubit central spin dynamics. We further observe the evolution of quantum correlations like entanglement and discord under the influence of the environmental interaction. Moreover, we demonstrate the comparison between this exact two qubit dynamics and the locally acting fermionic central spin model. This work is a stepping stone towards the realization of non-Markovian heat engines and other quantum thermal devices.

14 pages, 4 figures

References in corpus (15)

• On measures of non-Markovianity: divisibility vs. backflow of information
• Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
• Finding the Kraus decomposition from a master equation and vice versa
• Non-Markovianity through flow of information between a system and an environment
• Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
• Non-Markovian dynamics of a qubit coupled to an Ising spin bath
• Symmetries and noise in quantum walk
• Leggett-Garg inequality in the context of three flavour neutrino oscillation
• Non-Markovian Decay of a Three Level Cascade Atom in a Structured Reservoir
• Thermal rectification through a nonlinear quantum resonator
• Symmetry-noise interplay in quantum walk on an n-cycle
• Cycle Flux Ranking of Network Analysis in Quantum Thermal Device
• Quantum thermal transistors: Operation characteristics in steady state versus transient regimes
• Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators
• Quantum Parametric Oscillator Heat Engines in Squeezed Thermal Baths: Foundational Theoretical Issues

Cited by in corpus (8)

• Quantum correlations and speed limit of central spin system
• Strong coupling non-Markovian quantum thermodynamics of a finite-bath system
• Exploring Non-Markovianity in Ergodic Channels: Measuring Memory Retention through Ergotropy
• Dissipative evolution of a two-level system through a geometry-based classical mapping
• Finite-Bath Open Quantum Systems: Exact Dynamics
• Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time
• 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