By Gennady P. Berman, Fausto Borgonovi, Vyacheslav N Gorshkov, Vladimir I Tsifrinovich
Magnetic resonance strength microscopy (MRFM) is a swiftly evolving box which originated in Nineteen Nineties and matured lately with the 1st detection of a unmarried electron spin lower than the skin of a non-transparent reliable. extra improvement of MRFM options may have an excellent impression on many components of technology and know-how together with physics, chemistry, biology, or even drugs. Scientists, engineers, and scholars from quite a few backgrounds will all have an interest during this promising box. the target of this "multi-level" publication is to explain the fundamental rules, functions, and the complex concept of MRFM. concentrating on the experimental oscillating cantilever-driven adiabatic reversals (OSCAR) detection approach for unmarried electron spin, this booklet comprises beneficial learn facts for scientists operating within the box of quantum physics or magnetic resonance. Readers unexpected with quantum mechanics and magnetic resonance could be capable of receive an figuring out and appreciation of the elemental ideas of MRFM.
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Extra resources for Magnetic resonance force microscopy and a single-spin measurement
That is why the experimental detection of the Schrodinger cat state is so difficult. Below we estimate the decoherence time Td for the parameters used in Sec. 1. Our rough estimate of the decoherence time is based on the uncertainty relation. We will consider a particle of mass m in a thermal environment 40 5. SINGLE-SPIN DETECTION IN MAGNETIC FORCE MICROSCOPY (MFM) at temperature T. Let initially the particle simultaneously occupies two positions separated by the distance Az (the Schrodinger cat state).
H/m is the permeability of the free space, and M 0 is the magnetization (magnetic moment per unit volume) of the ferromagnetic particle. 28 T. 2: An expected dependence of the CT equilibrium position ZQ on the external magnetic field, Bext. The origin is placed at the CT equilibrium position with no spin. estimate the magnetic moment of the diamagnetic sample effectively interacting with the ferromagnetic particle, we consider a rectangular solid with an area (2i? 2 nm (the dipole magnetic field, Bd, halves at this depth).
The quasiclassical motion of the CT corresponds to values |a| 3> 1. For a = 0 the coherent state coincides with the ground state of the harmonic oscillator. A spin interacting with the ferromagnetic particle on the CT affects the motion of the CT. In order to write down the operator describing the spin-CT interaction, we will consider the expression for the interaction between the 4. MECHANICAL VIBRATIONS OF THE CANTILEVER 29 quasiclassical magnetic moment of the spin and the ferromagnetic particle.
Magnetic resonance force microscopy and a single-spin measurement by Gennady P. Berman, Fausto Borgonovi, Vyacheslav N Gorshkov, Vladimir I Tsifrinovich