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Non-Markovianity, Loschmidt echo and criticality: a unified picture · Around

2012

Non-Markovianity, Loschmidt echo and criticality: a unified picture

Haikka, Pinja, Goold, John, McEndoo, Suzanne et al.

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A simple relationship between recently proposed measures of non-Markovianity and the Loschmidt echo is established, holding for a two-level system (qubit) undergoing pure dephasing due to a coupling with a many-body environment.

We show that the Loschmidt echo is intimately related to the information flowing out from and occasionally back into the system.
This, in turn, determines the non-Markovianity of the reduced dynamics.
In particular, we consider a central qubit coupled to a quantum Ising ring in the transverse field.

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