Creating arbitrary quantum vibrational states in a carbon nanotube

Abstract

We theoretically study the creation of single- and multi-phonon Fock states and arbitrary superpositions of quantum phonon states in a nanomechanical carbon nanotube (CNT) resonator. In our model, a doubly clamped CNT resonator is initialized in the ground state and a single electron is trapped in a quantum dot which is formed by a electric gate potential and brought into the magnetic field of a micro-magnet. The preparation of arbitrary quantum phonon states is based on the coupling between the mechanical motion of the CNT and the electron spin which acts as a non-linearity. We assume that electrical driving pulses with different frequencies are applied on the system. The quantum information is transferred from the spin qubit to the mechanical motion by the spin-phonon coupling and the electron spin qubit can be reset by the single-electron spin resonance. We describe Wigner tomography which can be applied at the end to obtain the phase information of the prepared phonon states.Comment: 8 pages, 5 figure

Properties of the Geometric Phase in Electromechanical Oscillations of Carbon-Nanotube-Based Nanowire Resonators

“…By the way, resonance angular frequencies of suspended CNT-based nanowire resonators are not only high but also widely tunable with very high-quality factors [3]. For this reason, the vibrational modes of the system will be kept for a long time until they thoroughly damped out [11].…”

“…Analyses of the quantal phase evolution in nanowire oscillations are required for elucidating underlying features of the system theoretically. Regarding quantum vibrational states of the CNT-based nanowire resonators [11], the geometric phase [12] as well as the usual dynamical phase emerges as a supplementary evolution of the phase. The geometric phase [12] is an anholonomic of a quantum state which can be applicable in diverse fields of physics.…”

Electronic transport in bent carbon nanotubes

“…They have been synthesized and studied even before graphene [27][28][29]. Moreover, the nanoelectromechanical properties [30,31] and, in particular, elastic deformations have repeatedly gained attention [32][33][34][35][36][37][38][39][40][41][42]. In this work, we study uniformly bent nanotubes which take the form of a segment of a torus (cf.…”