Non-Markovian dynamics in a spin star system: The failure of thermalization

Abstract

In most cases, a small system weakly interacting with a thermal bath will finally reach the thermal state with the temperature of the bath. We show that this intuitive picture is not always true by a spin star model where non-Markov effect predominates in the whole dynamical process. The spin star system consists a central spin homogeneously interacting with an ensemble of identical noninteracting spins. We find that the correlation time of the bath is infinite, which implies that the bath has a perfect memory, and that the dynamical evolution of the central spin must be non- Markovian. A direct consequence is that the final state of the central spin is not the thermal state equilibrium with the bath, but a steady state which depends on its initial state.

8 pages

References in corpus (22)

• On the Integrability of the Rabi Model
• On measures of non-Markovianity: divisibility vs. backflow of information
• Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
• Decoherence and dynamical decoupling control of nitrogen-vacancy center electron spins in nuclear spin baths
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Exact dynamics in the inhomogeneous central-spin model
• Quantum algorithm for simulating the dynamics of an open quantum system
• Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics
• Nonperturbative master equation solution of central spin dephasing dynamics
• Anomalous decoherence effect in a quantum bath
• Hyperfine interaction induced decoherence of electron spins in quantum dots
• Exponential decay in a spin bath
• Non-Markovian disentanglement dynamics of two-qubit system
• Dynamics of interacting qubits coupled to a common bath: Non-Markovian quantum state diffusion approach
• Non-Markovian dynamics of a qubit coupled to an Ising spin bath
• Exact quantum jump approach to open systems in Bosonic and spin baths
• Dynamical control of electron spin coherence in a quantum dot
• Master equation approach to the central spin decoherence problem: the uniform coupling model and the role of projection operators
• Exact stochastic simulation of dissipation and non-Markovian effects in open quantum systems
• Stochastic analysis and simulation of spin star systems
• Dynamics of a driven spin coupled to an antiferromagnetic spin bath

Cited by in corpus (7)

• A Unified Stochastic Formulation of Dissipative Quantum Dynamics. I. Generalized Hierarchical Equations
• A Unified Stochastic Formulation of Dissipative Quantum Dynamics. II. Beyond Linear Response of Spin Baths
• Few-qubit quantum refrigerator for cooling a multi-qubit system
• Quantum simulation of the central spin model with a Rydberg atom and polar molecules in optical tweezers
• Measurement-induced nuclear spin polarization
• Electron Transfer Reactions: Generalized Spin-Boson Approach
• Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time