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Quantum Mechanical Limits to Inertial Mass Sensing by Nanomechanical Systems
P. -L. Giscard, M. Bhattacharya, P. Meystre
We determine the quantum mechanical limits to inertial mass-sensing based on nanomechanical systems. We first consider a harmonically oscillating cantilever whose vibration frequen…
Operators for the Aharonov-Anandan and Samuel-Bhandari Phases
P. -L. Giscard
We construct an operator for the Aharonov-Anandan phase for time independent Hamiltonians. This operator is shown to generate the motion of cyclic quantum systems through an equati…
Considerations about the Aharonov-Anandan Phase for Time Independent Hamiltonians
P. -L. Giscard
We present a method for calculating the Aharonov-Anandan phase for time-independent Hamiltonians that avoids the calculation of evolution operators. We compare the generic method u…
Entangling the ro-vibrational modes of a macroscopic mirror using radiation pressure
M. Bhattacharya, P. -L. Giscard, P. Meystre
We consider the dynamics of a vibrating and rotating end-mirror of an optical Fabry-P{érot} cavity that can sustain Laguerre-Gaussian modes. We demonstrate theoretically that since…
Entanglement of a Laguerre-Gaussian cavity mode with a rotating mirror
M. Bhattacharya, P. -L. Giscard, P. Meystre
It has previously been shown theoretically that the exchange of linear momentum between the light field in an optical cavity and a vibrating end mirror can entangle the electromagn…