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.

arXiv comment14 pages, 4 figures

References in corpus (46)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Quantum Computation with Quantum Dots
• Introducing Quantum Discord
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Entanglement and non-Markovianity of quantum evolutions
• Quantum Fisher Information Flow in Non-Markovian Processes of Open Systems
• Measure for the Non-Markovianity of Quantum Processes
• How small can thermal machines be? The smallest possible refrigerator
• Canonical form of master equations and characterization of non-Markovianity
• On measures of non-Markovianity: divisibility vs. backflow of information
• Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
• Quantum thermal transistor
• Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
• Non-Markovianity through accessible information
• Finding the Kraus decomposition from a master equation and vice versa
• Quantifying non-Markovianity of continuous variable Gaussian dynamical maps
• Thermodynamics of non-Markovian reservoirs and heat engines
• Non-Markovianity through flow of information between a system and an environment
• Quantum correlations in terms of neutrino oscillation probabilities
• Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
• Delineating incoherent non-Markovian dynamics using quantum coherence
• Correlated projection operator approach to non-Markovian dynamics in spin baths
• Non-Markovian dynamics of a qubit coupled to an Ising spin bath
• Non-Markovian evolution: a quantum walk perspective
• Symmetries and noise in quantum walk
• Quantum thermal transistor in superconducting circuits
• Non-Markovian dephasing and depolarizing channels
• Leggett-Garg inequality in the context of three flavour neutrino oscillation
• Quantum Optical Two-Atom Thermal Diode
• Temporal self-similarity of quantum dynamical maps as a concept of memorylessness
• Non-Markovian Decay of a Three Level Cascade Atom in a Structured Reservoir
• Study of coherence and mixedness in meson and neutrino systems
• Dynamics of entanglement in Two-Qubit Open System Interacting with a Squeezed Thermal Bath via Dissipative interaction
• Thermal rectification through a nonlinear quantum resonator
• Dynamics and thermodynamics of a central spin immersed in a spin bath
• Study of temporal quantum correlations in decohering B and K meson systems
• Symmetry-noise interplay in quantum walk on an n-cycle
• Enhanced non-Markovian behavior in quantum walks with Markovian disorder
• Cycle Flux Ranking of Network Analysis in Quantum Thermal Device
• Quantum thermal transistors: Operation characteristics in steady state versus transient regimes
• Thermodynamic utility of Non-Markovianity from the perspective of resource interconversion
• Detecting non-Markovianity via uncertainty relations
• Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators
• Universal quantum uncertainty relations between non-ergodicity and loss of information
• Quantum Parametric Oscillator Heat Engines in Squeezed Thermal Baths: Foundational Theoretical Issues
• Nearly Markovian maps and entanglement-based bound on corresponding non-Markovianity

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