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Nonlinear Response of Nanoelectromechanical Resonators in Trapped Superfluid Vortex States

Research output: ThesisMaster's Thesis

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Nonlinear Response of Nanoelectromechanical Resonators in Trapped Superfluid Vortex States. / Morrison, Nathaniel.

Lancaster University, 2021. 75 p.

Research output: ThesisMaster's Thesis

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@phdthesis{698f4cadd3b04313b6d508513605689d,
title = "Nonlinear Response of Nanoelectromechanical Resonators in Trapped Superfluid Vortex States",
abstract = "Nanoelectromechanical resonators are useful as both probes and generators ofturbulence in superfluid helium. Individual quantum vortices may become “trapped” by a doubly-clamped beam-type resonator, permitting probing of a single vortex line in isolation. This opens the door for studies of the fundamental processes governing the transfer and dissipation of energy in quantum turbulence at the smallest of length scales. As the small-scale limit of the Kelvin cascade is as yet poorly investigated, this is of great interest in the drive to understand how energy is ultimately returned to the environment in turbulent superfluid. In this thesis, evidence of single-vortex dynamics directly influencing resonator response is presented, via analysis of the transmission of a doubly-clamped beam resonator in the presence of quantum vortices. A length of vortex extending from the resonator beam to the substrate results in greatly increased dissipation, damping, and turbulence nucleation. The vortex also introduces a large, negative nonlinear restoring force. These effects are attributed to the motion of the vortex filament. These results demonstrate the ability of the nanoelectromechanical scheme to transduce motion on single vortex lines and recommends the system for future studies investigating the evolution of Kelvin waves.",
keywords = "superfluid, Quantum vortex, nanoelectromechanical systems",
author = "Nathaniel Morrison",
year = "2021",
doi = "10.17635/lancaster/thesis/1485",
language = "English",
publisher = "Lancaster University",
school = "Lancaster University",

}

RIS

TY - THES

T1 - Nonlinear Response of Nanoelectromechanical Resonators in Trapped Superfluid Vortex States

AU - Morrison, Nathaniel

PY - 2021

Y1 - 2021

N2 - Nanoelectromechanical resonators are useful as both probes and generators ofturbulence in superfluid helium. Individual quantum vortices may become “trapped” by a doubly-clamped beam-type resonator, permitting probing of a single vortex line in isolation. This opens the door for studies of the fundamental processes governing the transfer and dissipation of energy in quantum turbulence at the smallest of length scales. As the small-scale limit of the Kelvin cascade is as yet poorly investigated, this is of great interest in the drive to understand how energy is ultimately returned to the environment in turbulent superfluid. In this thesis, evidence of single-vortex dynamics directly influencing resonator response is presented, via analysis of the transmission of a doubly-clamped beam resonator in the presence of quantum vortices. A length of vortex extending from the resonator beam to the substrate results in greatly increased dissipation, damping, and turbulence nucleation. The vortex also introduces a large, negative nonlinear restoring force. These effects are attributed to the motion of the vortex filament. These results demonstrate the ability of the nanoelectromechanical scheme to transduce motion on single vortex lines and recommends the system for future studies investigating the evolution of Kelvin waves.

AB - Nanoelectromechanical resonators are useful as both probes and generators ofturbulence in superfluid helium. Individual quantum vortices may become “trapped” by a doubly-clamped beam-type resonator, permitting probing of a single vortex line in isolation. This opens the door for studies of the fundamental processes governing the transfer and dissipation of energy in quantum turbulence at the smallest of length scales. As the small-scale limit of the Kelvin cascade is as yet poorly investigated, this is of great interest in the drive to understand how energy is ultimately returned to the environment in turbulent superfluid. In this thesis, evidence of single-vortex dynamics directly influencing resonator response is presented, via analysis of the transmission of a doubly-clamped beam resonator in the presence of quantum vortices. A length of vortex extending from the resonator beam to the substrate results in greatly increased dissipation, damping, and turbulence nucleation. The vortex also introduces a large, negative nonlinear restoring force. These effects are attributed to the motion of the vortex filament. These results demonstrate the ability of the nanoelectromechanical scheme to transduce motion on single vortex lines and recommends the system for future studies investigating the evolution of Kelvin waves.

KW - superfluid

KW - Quantum vortex

KW - nanoelectromechanical systems

U2 - 10.17635/lancaster/thesis/1485

DO - 10.17635/lancaster/thesis/1485

M3 - Master's Thesis

PB - Lancaster University

ER -