Quantum trajectories with a large frequency shift in magnetic resonance force microscopy
ORAL
Abstract
Quantum trajectories with a large frequency shift in
magnetic resonance force microscopy
V.I. Tsifrinovich1 and G.P. Berman2
1Department of Applied Physics, NYU Tandon School of Engineering, Brooklyn, NY 11201, USA
2Theoretical Division, T-4, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
In 1994 Rugar et al. demonstrated detection of a single electron spin below the surface of a non-transparent solid measuring the frequency shift of the cantilever tip (CT) oscillations in the magnetic resonance force microscopy (MRFM). In our work we suggest matching the electron spin resonance and the CT frequencies (the CT-spin resonance). In a standard experiment like the canonical Stern-Gerlach experiment or MRFM the spin ½ is detected by observation of the two quasiclassical trajectories associated with the two directions of the spin with respect to the effective magnetic field. We show that in the CT-spin resonance there are two quasiclassical trajectories for every direction of spin relative to the effective magnetic field. One trajectory describes the CT oscillations with the “normal frequency shift” similar to that obtained in the MRFM. The other trajectory describes the oscillations with a much larger frequency shift. In our estimations the large relative frequency shift of 3.7x10-4 can be observed with the probability 500 times smaller than the normal relative frequency shift of 7.3x10-7. This effect could simplify the detection of a single electron spin or even a single nuclear spin.
magnetic resonance force microscopy
V.I. Tsifrinovich1 and G.P. Berman2
1Department of Applied Physics, NYU Tandon School of Engineering, Brooklyn, NY 11201, USA
2Theoretical Division, T-4, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
In 1994 Rugar et al. demonstrated detection of a single electron spin below the surface of a non-transparent solid measuring the frequency shift of the cantilever tip (CT) oscillations in the magnetic resonance force microscopy (MRFM). In our work we suggest matching the electron spin resonance and the CT frequencies (the CT-spin resonance). In a standard experiment like the canonical Stern-Gerlach experiment or MRFM the spin ½ is detected by observation of the two quasiclassical trajectories associated with the two directions of the spin with respect to the effective magnetic field. We show that in the CT-spin resonance there are two quasiclassical trajectories for every direction of spin relative to the effective magnetic field. One trajectory describes the CT oscillations with the “normal frequency shift” similar to that obtained in the MRFM. The other trajectory describes the oscillations with a much larger frequency shift. In our estimations the large relative frequency shift of 3.7x10-4 can be observed with the probability 500 times smaller than the normal relative frequency shift of 7.3x10-7. This effect could simplify the detection of a single electron spin or even a single nuclear spin.
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Publication: Magnetic Resonance Force Microscopy with Overlapping Frequencies <br>of Cantilever and Spin (submitted manuscript).
Presenters
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Vladimir I Tsifrinovich
NYU Tandon Sch of Engr
Authors
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Vladimir I Tsifrinovich
NYU Tandon Sch of Engr
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Gennady P Berman
Los Alamos National Laboratory