Exact dynamics of one-qubit system in layered environment
Mahmoud Mahdian, Hadi Mehrabpour
TL;DR
This paper derives exact and approximate models for the dynamics of a one-qubit system interacting with an infinite layered environment, providing insights into decoherence and the effectiveness of projection operator techniques.
Contribution
It presents an exact solution for the qubit's evolution in layered environments and compares it with second-order NZ and TCL methods.
Findings
Exact dynamics obtained for infinite-layer environment
Decoherence behavior analyzed in the limit of infinite bath spins
Second-order NZ and TCL techniques derived and compared
Abstract
We investigate the exact evolution of the reduced dynamics of a one qubit system as central spin coupled to a femionic layered environment with unlimited number of layers. Also, we study the decoherence induced on central spin by analysis solution is obtained in the limit of an infinite number of bath spins. Finally, the Nakajima-Zwanzig (NZ) and the time-convolutionless (TCL) projection operator techniques to second order are derived.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Computing Algorithms and Architecture · Quantum many-body systems