Quantum mechanics–free subsystem with mechanical oscillators

Collective Behavior of Coupled Quantum Mechanical Oscillators

A simple model of coupled oscillators is investigated from the perspective of quantum mechanics. The classical model of two oscillators connected by a common platform can be easily solved analytically, but the quantum system requires a numerical approach. We assume that both the oscillators and the platform are quantum objects in their respective ground states at start and they evolve in time a...

Quantum nondemolition measurement of Fock states of mesoscopic mechanical oscillators

D. H. Santamore,1,2,3 A. C. Doherty,3,4,5 and M. C. Cross3 1ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 3Department of Physics, California Institute of Technology, Pasadena, California 91125, USA 4Institute for Quantum Information, California Institute of Technology, Pasad...

Computing with networks of nonlinear mechanical oscillators

As it is getting increasingly difficult to achieve gains in the density and power efficiency of microelectronic computing devices because of lithographic techniques reaching fundamental physical limits, new approaches are required to maximize the benefits of distributed sensors, micro-robots or smart materials. Biologically-inspired devices, such as artificial neural networks, can process infor...

Subsystem Quantum Chemistry for Nanostructures

A quantum crystal with multidimensional anharmonic oscillators

The quantum anharmonic crystal is made of a large number of multi-dimensional anharmonic oscillators arranged in a periodic spatial lattice with a nearest neighbor coupling. If the coupling coefficient is sufficiently small, then there is a convergent expansion for the ground state of the crystal. The estimates on the convergence are independent of the size of the crystal. The proof uses the pa...