The squeezed state is used to study the one-dimensional quantum mechanical Frenkel-Kontorova model. A set of coupled equations for the particle’s expectation value and the fluctuations for the ground state are derived. It is shown that quantum fluctuations renormalize the standard map to an effective sawtooth map. The underlying mechanism provides an alternative and simple explanation of dynami...

Title of dissertation: CONTROL AND VERIFICATION OF QUANTUM MECHANICAL SYSTEMS Dvir Kafri, Doctor of Philosophy, 2015 Dissertation directed by: Professor Jacob Taylor Department of Physics Quantum information science uses the distinguishing features of quantum mechanics for novel information processing tasks, ranging from metrology to computation. This manuscript explores multiple topics in this...

Hydrogen cyanide (HCN) represents a small but widely distributed fraction of the interstellar molecules, and it has been observed in all environments characterizing formation new planetary...

We provide the quantum-mechanical description of the excitation of surface plasmon polaritons on metal surfaces by single photons. An attenuated-reflection setup is described for the quantum excitation process in which we find remarkably efficient photon-to-surface plasmon wave-packet transfer. Using a fully quantized treatment of the fields, we introduce the Hamiltonian for their interaction a...

The scattering of a point particle in two dimensions from two (or three) equally sized (and spaced) circular hard disks is one of the simplest classically hyperbolic scattering problems. Because of this simplicity such systems are well suited for the study of the semiclassical periodic orbit approximation in the cycle expansion of the dynamical zeta function applied to a quantum mechanical scat...

Some years ago Ruijsenaars and Schneider initiated the study of mechanical systems exhibiting an action of the Poincaré algebra. The systems they discovered were far richer: their models were actually integrable and possessed a natural quantum version. We follow this early work finding and classifying mechanical systems with such an action. New solutions are found together with a new class of m...

Radiation pressure has recently been used to effectively couple the quantum motion of mechanical elements to the fields of optical or microwave light. Integration of all three degrees of freedom-mechanical, optical and microwave-would enable a quantum interconnect between microwave and optical quantum systems. We present a platform based on silicon nitride nanomembranes for integrating supercon...

In this work, we have tested 30 different adsorption situations in several coverage scenarios for the 1-amino-3-cyclopentene (ACP) molecule on the Si(100) surface. We have used a five-spot testing zone inserted in the high-level part of a quantum-mechanical/quantum-mechanical study performed in a big cluster. By defining several different scenarios, each one with a typical adsorption energy, we...

We study in how far it is possible to reconstruct a graph from various Banach algebras associated to its universal covering, and extensions thereof to quantum statistical mechanical systems. It turns out that most the boundary operator algebras reconstruct only topological information, but the statistical mechanical point of view allows for complete reconstruction of multigraphs with minimal de...