Experimental Demonstration of Entanglement-Enhanced Rotation Angle Estimation Using Trapped IonsMeyer, V; Rowe, M. A; Kielpinski, D. A; Sackett, C. A; Itano, W. M; Monroe, C. M; Wineland, D. J
doi: 10.1103/PhysRevLett.86.5870pmid: 11415382
We experimentally investigate three methods, utilizing different atomic observables and entangled states, to increase the sensitivity of rotation angle measurements beyond the “standard quantum limit” for nonentangled states. All methods use a form of quantum mechanical “squeezing.” In a system of two entangled trapped 9 Be + ions we observe a reduction in uncertainty of rotation angle below the standard quantum limit for all three methods including all sources of noise. As an application, we demonstrate an increase in precision of frequency measurement in a Ramsey spectroscopy experiment.
Heat Conduction in the Disordered Harmonic Chain RevisitedDhar, Abhishek
doi: 10.1103/PhysRevLett.86.5882pmid: 11415385
A general formulation is developed to study heat conduction in disordered harmonic chains with arbitrary heat baths, satisfying the fluctuation-dissipation theorem. A simple formal expression for the heat current J is obtained, from which its asymptotic system-size ( N ) dependence is extracted. It is shown that “thermal conductivity” depends not just on the system itself but also on the spectral properties of the heat baths. As special cases we recover earlier results that gave J ∼ 1 / N 3 / 2 for fixed boundaries and J ∼ 1 / N 1 / 2 for free boundaries. Other choices give other power laws including the “Fourier behavior” J ∼ 1 / N .