@phdthesis{Walter2012,
  author    = {Walter, Stefan},
  title     = {Exploring the Quantum Regime of Nanoelectromechanical Systems},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-75188},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {This thesis deals with nanoelectromechanical systems in the quantum regime. Nanoelectromechanical systems are systems where a mechanical degree of freedom of rather macroscopic size is coupled to an electronic degree of freedom. The mechanical degree of freedom can without any constraints be modeled as the fundamental mode of a harmonic oscillator. Due to their size and the energy scales involved in the setting, quantum mechanics plays an important role in their description. We investigate transport through such nanomechanical devices where our focus lies on the quantum regime. We use non-equilibrium methods to fully cover quantum effects in setups where the mechanical oscillator is part of a tunnel junction. In such setups, the mechanical motion influences the tunneling amplitude and thereby the transport properties through the device. The electronics in these setups can then be used to probe and characterize the mechanical oscillator through signatures in transport quantities such as the average current or the current noise. The interplay between the mechanical motion and other physical degrees of freedom can also be used to characterize these other degrees of freedom, i.e., the nanomechanical oscillator can be used as a detector. In this thesis, we will show that a nanomechanical oscillator can be used as a detector for rather exotic degrees of freedom, namely Majorana bound states which recently attracted great interest, theoretically as well as experimentally. Again, the quantum regime plays an essential role in this topic. One of the major manifestations of quantum mechanics is entanglement between two quantum systems. Entanglement of quantum systems with few (discrete) degrees of freedom is a well established and understood subject experimentally as well as theoretically. Here, we investigate quantum entanglement between two macroscopic continuous variable systems. We study different setups where it is possible to entangle two nanomechanical oscillators which are not directly coupled to each other. We conclude with reviewing the obtained results and discuss open questions and possible future developments on the quantum aspects of nanomechanical systems.},
  subject      = {Nanoelektromechanik},
  language  = {en}
}