Short, Shane
(2021)
Dynamics of the Gross-Pitaevskii Equation
and Shortcuts to Adiabaticity.
Masters thesis, National University of Ireland Maynooth.
Abstract
Procedures which vary the parameters of a model in an adiabatic way
have applications in many areas of quantum technology. However, explicitly employing adiabatic evolution often leads to decoherence issues due to
systems interacting with their environment. For this reason, there has been
much interest in developing shortcuts to adiabaticity in which the target final
state is reached in a finite duration change of parameter. In this thesis, we
design and study a shortcut to adiabaticity in an interacting Bose-Einstein
condensate. In particular, we study the response induced by ramps in the
interaction strength of such a system. We determine the power law decay
exponents of the induced excitations as well as the characteristic frequency
with which these excitations oscillate with respect to the duration and mean
values of the ramps.
| Item Type: |
Thesis
(Masters)
|
| Keywords: |
Dynamics; Gross-Pitaevskii Equation; Shortcuts; Adiabaticity; |
| Academic Unit: |
Faculty of Science and Engineering > Theoretical Physics |
| Item ID: |
14951 |
| Depositing User: |
IR eTheses
|
| Date Deposited: |
21 Oct 2021 12:26 |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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