Nanomechanics has brought mesoscopic physics into the world of vibrations. Because
nanomechanical systems are small, fluctuations are significant, the vibrations already …

In the past 20 years, impressive progress has been made both experimentally and
theoretically in superconducting quantum circuits, which provide a platform for manipulating …

Quantum mechanics sets a limit for the precision of continuous measurement of the position
of an oscillator. We show how it is possible to measure an oscillator without quantum back …

According to quantum mechanics, a harmonic oscillator can never be completely at rest.
Even in the ground state, its position will always have fluctuations, called the zero-point …

The field of cavity optomechanics is reviewed. This field explores the interaction between
electromagnetic radiation and nanomechanical or micromechanical motion. This review …

The measurement of minuscule forces and displacements with ever greater precision is
inhibited by the Heisenberg uncertainty principle, which imposes a limit to the precision with …

A pair of conjugate observables, such as the quadrature amplitudes of harmonic motion,
have fundamental fluctuations that are bound by the Heisenberg uncertainty relation …

Quantum mechanics dictates that the precision of physical measurements must always
comply with certain noise constraints. In the case of interferometric displacement …

By coupling a macroscopic mechanical oscillator to two microwave cavities, we
simultaneously prepare and monitor a nonclassical steady state of mechanical motion. In …

It is an open question whether mechanical resonators can be made nonlinear with vibrations
approaching the quantum ground state. This requires the engineering of a mechanical …