The importance of level statistics for the decoherence of a central spin due to a spin environment

Abstract

We study the decoherence of a central spin-1/2 due to a closed environment composed of spin-1/2 particles. It is known that a frustrated spin environment, such as a spin glass, is much more efficient for decoherence of the central spin than a similar size environment without frustration. We construct a Hamiltonian where the degree of frustration is parametrized by a single parameter $\kappa$. By use of this model we find that the environment can be classified by two distinct regimes with respect to the strength of level repulsion. These regimes behave qualitatively different with respect to decoherence of the central spin and might explain the strong enhancement of decoherence observed for frustrated environments.

arXiv comment9 pages, 10 figures

References in corpus (24)

• Spins in few-electron quantum dots
• Room temperature coherent control of coupled single spins in solid
• Theory of the spin bath
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Sub-Planck spots of Schroedinger cats and quantum decoherence
• Quenching Spin Decoherence in Diamond through Spin Bath Polarization
• Decoherence in Crystals of Quantum Molecular Magnets
• Decoherence and the Loschmidt echo
• Decoherence in qubits due to low-frequency noise
• Stability of quantum motion and correlation decay
• Localization of Metal-Induced Gap States at the Metal-Insulator Interface:Origin of Flux Noise in SQUIDs and Superconducting Qubits
• Level repulsion in integrable and almost-integrable quantum spin models
• Parity Effects in Spin Decoherence
• Decoherence by a chaotic many-spin bath
• Pulsed Nuclear Pumping and Spin Diffusion in a Single Charged Quantum Dot
• An intrinsic limit to quantum coherence due to spontaneous symmetry breaking
• Decoherence by a spin thermal bath: Role of the spin-spin interactions
• Decoherence by a spin thermal bath: Role of the spin-spin interactions and initial state of the bath
• Origin of the Canonical Ensemble: Thermalization with Decoherence
• Effect of random interactions in spin baths on decoherence
• Evolution of a quantum spin system to its ground state: Role of entanglement and interaction symmetry
• Giant enhancement of quantum decoherence by frustrated environments
• Spectrum of an electron spin coupled to an unpolarized bath of nuclear spins
• Discrepancies between decoherence and the Loschmidt echo

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• Decoherence, relaxation and chaos in a kicked-spin ensemble