Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-03-23
Phys. Rev. B 75, 214308 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
16 pages, 8 figures
Scientific paper
10.1103/PhysRevB.75.214308
We study Landau-Zener transitions in a qubit coupled to a bath at zero temperature. A general formula is derived that is applicable to models with a non-degenerate ground state. We calculate exact transition probabilities for a qubit coupled to either a bosonic or a spin bath. The nature of the baths and the qubit-bath coupling is reflected in the transition probabilities. For diagonal coupling, when the bath causes energy fluctuations of the diabatic qubit states but no transitions between them, the transition probability coincides with the standard LZ probability of an isolated qubit. This result is universal as it does not depend on the specific type of bath. For pure off-diagonal coupling, by contrast, the tunneling probability is sensitive to the coupling strength. We discuss the relevance of our results for experiments on molecular nanomagnets, in circuit QED, and for the fast-pulse readout of superconducting phase qubits.
Hänggi Peter
Kayanuma Yosuke
Kohler Sigmund
Saito Keiji
Wubs Martijn
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