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Semion formalism for spin and qubit systems: Non-Markovian treatment

Physical Review A: Atomic, Molecular, and Optical physics. 2020. Vol. 102. No. 3. Article 042224.
Elistratov A., Remizov S., Lozovik Y.

Using semion substitution for spin variables we perform an ab initio derivation of effective action for an open quantum two-level system . For this purpose, we introduce, by using the Hubbard-Stratonovich transformation a two-time complex quantum field which average value plays the role of the Green's function for the spin variables. The field thus introduced allows us to develop a diagram technique in a standard way. The proposed formalism is used to study a spin embedded into an Ohmic reservoir as an example of the spin-boson model. Non-Markovian effects in this system are analyzed.

Research target: Physics
Language: English
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Keywords: decoherencequantum simulationquantum opticsopen quantum systems
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