Quantum dynamics under coherent and incoherent effects of a spin bath in the Keldysh formalism: application to a spin swapping operation
arXiv:cond-mat/0403399 · doi:10.1016/j.cplett.2004.11.056
Abstract
We develop the Keldysh formalism for the polarization dynamics of an open spin system. We apply it to the swapping between two qubit states in a model describing an NMR cross-polarization experiment. The environment is a set of interacting spins. For fast fluctuations in the environment, the analytical solution shows effects missed by the secular approximation of the Quantum Master Equation for the density matrix: a frequency decrease depending on the system-environment escape rate and the quantum quadratic short time behavior. Considering full memory of the bath correlations yields a progressive change of the swapping frequency.
16 pages, 3 figures, final form
References in corpus (14)
- Decoherence, einselection, and the quantum origins of the classical
- Environment-independent decoherence rate in classically chaotic systems
- Quantum computing with spin cluster qubits
- Generalized Jordan-Wigner Transformations
- Creating Decoherence-Free Subspaces with Strong and Fast Pulses
- Controlling a mesoscopic spin environment by quantum bit manipulation
- Attenuation of polarization echoes in NMR: A study of the emergence of dynamical irreversibility in many-body quantum systems
- Quantum Dynamical Echoes in the Spin 'Diffusion' in Mesoscopic Systems
- Electrical transport through individual DNA molecules
- The electrostatic potential profile along a biased molecular wire: A model quantum mechanical calculation
- Quantum Interference Phenomena in the Local Polarization Dynamics of Mesoscopic Systems: An NMR Observation
- Dimensional Crossover in Spin Diffusion: A manifestation of the Quantum Zeno Effect
- Spin projection chromatography
- Low Temperature Electronic Transport and Electron Transfer through Organic Macromolecules
Cited by in corpus (11)
- Environmentally induced Quantum Dynamical Phase Transition in the spin swapping operation
- Non-Markovian decay beyond the Fermi Golden Rule: Survival Collapse of the polarization in spin chains
- Optimized dynamical control of state transfer through noisy spin chains
- Dynamical regimes of a quantum swap gate beyond the Fermi Golden Rule
- Quantum parallelism as a tool for ensemble spin dynamics calculations
- The Loschmidt Echo as a robust decoherence quantifier for many-body systems
- Decoherence as attenuation of mesoscopic echoes in a spin-chain channel
- Decoherence under many-body system-environment interactions: a stroboscopic representation based on a fictitiously homogenized interaction rate
- Path integral framework for characterizing and controlling decoherence induced by non-stationary environments on a quantum probe
- Non-Markovian decay and dynamics of decoherence in private and public environments
- Simulating a Catalyst induced Quantum Dynamical Phase Transition of a Heyrovsky reaction with different models for the environment