Decoherence under many-body system-environment interactions: a stroboscopic representation based on a fictitiously homogenized interaction rate

Abstract

An environment interacting with portions of a system leads to multiexponential interaction rates. Within the Keldysh formalism, we fictitiously homogenize the system-environment interaction yielding a uniform decay rate facilitating the evaluation of the propagators. Through an injection procedure we neutralize the fictitious interactions. This technique justifies a stroboscopic representation of the system-environment interaction which is useful for numerical implementation and converges to the natural continuous process. We apply this procedure to a fermionic two-level system and use the Jordan-Wigner transformation to solve a two-spin swapping gate in the presence of a spin environment.

11 pages, 3 figures, title changed, some typos changed

References in corpus (15)

• Decoherence, einselection, and the quantum origins of the classical
• Time-Dependent Partition-Free Approach in Resonant Tunneling Systems
• Bang-bang control of fullerene qubits using ultra-fast phase gates
• 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
• Relaxation and Zeno effect in qubit measurements
• Environmentally induced Quantum Dynamical Phase Transition in the spin swapping operation
• Phonon Decoherence of a Double Quantum Dot Charge Qubit
• Non-Markovian decay beyond the Fermi Golden Rule: Survival Collapse of the polarization in spin chains
• Local Manipulation of Nuclear Spin in a Semiconductor Quantum Well
• A Method for Modeling Decoherence on a Quantum Information Processor
• Dimensional Crossover in Spin Diffusion: A manifestation of the Quantum Zeno Effect
• Quantum dynamical phase transition in a system with many-body interactions
• Quantum dynamics under coherent and incoherent effects of a spin bath in the Keldysh formalism: application to a spin swapping operation
• Spin projection chromatography

Cited by in corpus (9)

• Dynamical regimes of a quantum swap gate beyond the Fermi Golden Rule
• Bang-Bang control of a qubit coupled to a quantum critical spin bath
• Width bifurcation and dynamical phase transitions in open quantum systems
• Decoherence as attenuation of mesoscopic echoes in a spin-chain channel
• Decoherent time-dependent transport beyond the Landauer-Büttiker formulation: a quantum-drift alternative to quantum jumps
• Dynamical stabilization and time in open quantum systems
• Non-Markovian decay and dynamics of decoherence in private and public environments
• Universal stability of coherently diffusive 1D systems with respect to decoherence
• Maximizing information obtainable by quantum sensors through the Quantum Zeno Effect