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Phys. Rev. B 69, 115419 (2004) [12 pages]

Quantum dissipative dynamics of the magnetic resonance force microscope in the single-spin detection limit

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Hanno Gassmann*
Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland

Mahn-Soo Choi
Department of Physics, Korea University, Seoul 136-701, Korea

Hangmo Yi
Korea Institute for Advanced Study, 207-43 Cheongryang 2-dong, Seoul 130-722, Korea

C. Bruder
Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland

Received 19 September 2003; published 22 March 2004

We study a model of a magnetic resonance force microscope (MRFM) based on the cyclic adiabatic inversion technique as a high-resolution tool to detect single electron spins. We investigate the quantum dynamics of spin and cantilever in the presence of coupling to an environment. To obtain the reduced dynamics of the combined system of spin and cantilever, we use the Feynman-Vernon influence functional and get results valid at any temperature as well as at arbitrary system-bath coupling strength. We propose that the MRFM can be used as a quantum measurement device, i.e., not only to detect the modulus of the spin but also its direction.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.69.115419
DOI:
10.1103/PhysRevB.69.115419
PACS:
03.65.Yz, 07.79.Pk, 07.10.Cm

*Electronic address: hanno.gassmann@unibas.ch

Electronic address: choims@korea.ac.kr