Non-Markoffian effects of a simple nonlinear bath

Abstract

We analyze a model of a nonlinear bath consisting of a single two-level system coupled to a linear bath (a classical noise force in the limit considered here). This allows us to study the effects of a nonlinear, non-Markoffian bath in a particularly simple situation. We analyze the effects of this bath onto the dynamics of a spin by calculating the decay of the equilibrium correlator of the spin's z-component. The exact results are compared with those obtained using three commonly used approximations: a Markoffian master equation for the spin dynamics, a weak-coupling approximation, and the substitution of a linear bath for the original nonlinear bath.

7 pages, 6 figures

References in corpus (6)

• Electron spin decoherence in quantum dots due to interaction with nuclei
• Decoherence and 1/f noise in Josephson qubits
• Exact c-number Representation of Non-Markovian Quantum Dissipation
• Decoherence and dissipation during a quantum XOR gate operation
• Decoherence and dephasing in coupled Josephson-junction qubits
• Mechanisms of Decoherence at Low Temperatures

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• Coherence oscillations in dephasing by non-Gaussian shot noise
• Quantum mechanical approach to decoherence and relaxation generated by fluctuating environment
• Reduced Visibility of Rabi Oscillations in Superconducting Qubits
• Quantum dynamics in a tiered non-Markovian environment
• Effect of bath temperature on the quantum decoherence
• Qubit quantum-dot sensors: noise cancellation by coherent backaction, initial slips, and elliptical precession
• Structured environments in solid state systems: crossover from Gaussian to non-Gaussian behavior
• Quantum Dissipative Dynamics of the Magnetic Resonance Force Microscope in the Single-Spin Detection Limit
• Effects of a nonlinear bath at low temperatures