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Dissipationless dynamics of randomly coupled spins at high temperatures

Faoro, Lara and Ioffe, Lev and Kitaev, Alexei (2012) Dissipationless dynamics of randomly coupled spins at high temperatures. Physical Review B, 86 (13). Art. No. 134414. ISSN 1098-0121. doi:10.1103/PhysRevB.86.134414.

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We develop a technique to compute the high-frequency asymptotics of spin correlators in weakly interacting disordered spin systems. We show that the dynamical spin correlator decreases exponentially at high frequencies ⟨SS⟩_ω ∼ exp(−τ∗ω) and compute the characteristic time τ∗ of this dependence. In a typical random configuration, some fraction of spins form strongly coupled pairs, which behave as two-level systems. Their switching dynamics is driven by the high-frequency noise from the surrounding spins, resulting in low-frequency 1/f noise in the magnetic susceptibility and other physical quantities. We discuss application of these results to the problem of susceptibility and flux noise in superconducting circuits at mK temperatures.

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Additional Information:© 2012 American Physical Society. Received 1 February 2012; published 15 October 2012. We are grateful to R. McDermott for the discussion of the experimental situation. This work was supported, in part, by Triangle de la physique 2007-36, ANR-06-BLAN-0218, ECS-0608842, ARO W911-09-1-0395, DARPA HR0011-09-1-0009. A.K. acknowledges funding by the Institute of Quantum Information under NSF Grant No. PHY-0803371.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Triangle de la physique2007-36
Agence Nationale pour la Recherche (ANR)ANR-06-BLAN-0218
Army Research Office (ARO)W911-09-1-0395
Defense Advanced Research Projects Agency (DARPA)HR0011-09-1-0009
Issue or Number:13
Classification Code:PACS number(s): 42.50.Lc
Record Number:CaltechAUTHORS:20120713-092458311
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32413
Deposited By: Tony Diaz
Deposited On:19 Jul 2012 22:23
Last Modified:09 Nov 2021 21:27

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