Quantum Dissipative Dynamics of the Magnetic Resonance Force Microscope in the Single-Spin Detection Limit

Abstract

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.

References in corpus (7)

• Theory of spin relaxation in magnetic resonance force microscopy
• Exploiting environmental resonances to enhance qubit quality factors
• Non-Markoffian effects of a simple nonlinear bath
• Single-Spin Measurement and Decoherence in Magnetic Resonance Force Microscopy
• An asymptotical von-Neumann measurement strategy for solid-state qubits
• Quantum Measurement of a Single Spin using Magnetic Resonance Force Microscopy
• The importance of friction in the description of low-temperature dephasing

Cited by in corpus (5)

• Intrinsic dissipation in nanomechanical resonators due to phonon tunneling
• Cavity-Assisted Back Action Cooling of Mechanical Resonators
• Analogue of Cavity QED for Coupling between Spin and Nanomechanical Resonator
• Cooling a magnetic resonance force microscope via the dynamical back-action of nuclear spins
• Decoherence and relaxation of a qubit coupled to an Ohmic bath directly and via an intermediate harmonic oscillator