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 (4)

• 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
• Local Manipulation of Nuclear Spin in a Semiconductor Quantum Well

Cited by in corpus (1)

• Bang-Bang control of a qubit coupled to a quantum critical spin bath