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Free keywords:
Quantum Physics, quant-ph, Condensed Matter, Mesoscale and Nanoscale Physics, cond-mat.mes-hall,General Relativity and Quantum Cosmology, gr-qc
Abstract:
A common knowledge suggests that trajectories of particles in quantum
mechanics always have quantum uncertainties. These quantum uncertainties set by
the Heisenberg uncertainty principle limit precision of measurements of fields
and forces, and ultimately give rise to the standard quantum limit in
metrology. With the rapid developments of sensitivity of measurements these
limits have been approached in various types of measurements including
measurements of fields and acceleration. Here we show that a quantum trajectory
of one system measured relatively to the other "reference system" with an
effective negative mass can be quantum uncertainty--free. The method crucially
relies on the generation of an Einstein-Podolsky-Rosen entangled state of two
objects, one of which has an effective negative mass. From a practical
perspective these ideas open the way towards force and acceleration
measurements at new levels of sensitivity far below the standard quantum limit.
