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arXiv:0901.1791 · The European Physical Journal B

Stochastic resonance phenomena in spin chains

A. Rivas, Neil P. Oxtoby, S. F. Huelga

Published Mar 21, 2009• 22 citations
arXivHTMLPDF
DOI
10.1140/epjb/e2009-00108-5

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We discuss stochastic resonance (SR) effects in driven coupled quantum systems. We construct dynamical and information-theoretic measures of the system's response that exhibit a nonmonotonic behavior as a function of the noise strength. We analyze the relation between lack of monotonicity in the response and the presence of quantum correlations and identify parameter regimes where the breakdown of a linear response can be linked to the presence of entanglement. We also show that a chain of coupled spin systems can exhibit an array-enhanced response, where the sensitivity of a single resonator is enhanced as a result of nearest-neighbor coupling. These results enlarge the domain where SR effects exist and should be observable in arrays of superconducting qubits.
We discuss stochastic resonance (SR) effects in weakly driven coupled quantum systems. We show that both dynamical and information theoretic measures of the system's response can be introduced that exhibit a non-monotonic behaviour as a function of the noise strength. We analyze the relation between lack of monotonicity in the response and the presence of quantum correlations, showing that there are parameter regimes where the breakdown of a linear response can be associated to the presence of entanglement. We also show that a chain of coupled spin systems can exhibit an array-enhanced response, where the sensitivity of a single resonator to a weak driving signal is enhanced as a result of the nearest-neighbour coupling. These results enlarge the domain where SR effects exist and should be observable in state-of-the-art arrays of superconducting qubits.