Decoherence by a chaotic many-spin bath

Abstract

We numerically investigate decoherence of a two-spin system (central system) by a bath of many spins 1/2. By carefully adjusting parameters, the dynamical regime of the bath has been varied from quantum chaos to regular, while all other dynamical characteristics have been kept practically intact. We explicitly demonstrate that for a many-body quantum bath, the onset of quantum chaos leads to significantly faster and stronger decoherence compared to an equivalent non-chaotic bath. Moreover, the non-diagonal elements of the system's density matrix decay differently for chaotic and non-chaotic baths. Therefore, knowledge of the basic parameters of the bath (strength of the system-bath interaction, bath's spectral density of states) is not always sufficient, and much finer details of the bath's dynamics can strongly affect the decoherence process.

4 pages, RevTeX, 5 eps figures

References in corpus (26)

• Electron Spin Resonance Transistors for Quantum Computing in Silicon-Germanium Heterostructures
• Quantum oscillations in two coupled charge qubits
• Environment-independent decoherence rate in classically chaotic systems
• Theory of the spin bath
• Sub-Planck spots of Schroedinger cats and quantum decoherence
• Theory of nuclear induced spectral diffusion: Spin decoherence of phosphorus donors in Si and GaAs quantum dots
• Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
• Quantum limit of decoherence: Environment induced superselection of energy eigenstates
• Sensitivity of Wave Field Evolution and Manifold Stability in Chaotic Systems
• An efficient scheme for numerical simulations of the spin-bath decoherence
• Stability of quantum motion and correlation decay
• Fidelity Decay as an Efficient Indicator of Quantum Chaos
• Electron spin coherence in semiconductors: Considerations for a spin-based solid state quantum computer architecture
• Quantum Chaotic Environments, The Butterfly Effect, And Decoherence
• Emergence of Quantum Chaos in Quantum Computer Core and How to Manage It
• Measuring the Lyapunov exponent using quantum mechanics
• Decay of the Loschmidt Echo for quantum states with sub-Planck scale structures
• Semiclassical time-evolution of the reduced density matrix and dynamically assisted generation of entanglement for bipartite quantum systems
• Exponential speed-up with a single bit of quantum information: Testing the quantum butterfly effect
• Integrability and Quantum Chaos in Spin Glass Shards
• Fidelity and Purity Decay in Weakly Coupled Composite Systems
• Entropy production and wave packet dynamics in the Fock space of closed chaotic many-body systems
• Unconventional decay law for excited states in closed many-body systems
• Short time decay of the Loschmidt echo
• Crossover of quantum Loschmidt echo from golden rule decay to perturbation-independent decay
• Destruction of the Kondo effect by a local measurement

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• Quantum chaotic system as a model of decohering environment
• Decoherence induced by an interacting spin environment in the transition from integrability to chaos
• The importance of level statistics for the decoherence of a central spin due to a spin environment
• Decoherence and pointer states in small antiferromagnets: A benchmark test
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• Dynamics of a driven spin coupled to an antiferromagnetic spin bath
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• Single spin probe of Many-Body Localization
• Decoherence, relaxation and chaos in a kicked-spin ensemble
• Temperature crossover of decoherence rates in chaotic and regular bath dynamics
• Characteristic Time and Maximum Mixedness: Single Mode Gaussian States in Dissipative Channels
• Manifold algorithmic errors in quantum computers with static internal imperfections
• Relaxation of antiferromagnetic order and growth of Rényi entropy in a generalized Heisenberg star
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