Non-Markovian qubit dynamics induced by Coulomb crystals
: Borrelli M, Haikka P, De Chiara G, Maniscalco S
Publisher: AMER PHYSICAL SOC
: 2013
: Physical Review A
: PHYSICAL REVIEW A
: PHYS REV A
: ARTN 010101
: 1
: 88
: 1
: 5
: 1050-2947
DOI: https://doi.org/10.1103/PhysRevA.88.010101
We investigate the backflow of information in a system with a second-order structural phase transition, namely, a quasi-one-dimensional Coulomb crystal. Using standard Ramsey interferometry which couples a target ion (the system) to the rest of the chain (a phononic environment), we study the non-Markovian character of the resulting open system dynamics. We study two different time scales and show that the backflow of information pinpoints both the phase transition and different dynamical features of the chain as it approaches criticality. We also establish an exact link between the backflow of information and the Ramsey fringe visibility.