Quantum control and quantum speed limits in supersymmetric potentials

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Date
2022-09-06
Authors
Campbell, C.
Li, Jing
Busch, T.
Fogarty, T.
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IOP Publishing
Published Version
10.1088/1367-2630/ac89a4
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Abstract
Supersymmetry allows one to build a hierarchy of Hamiltonians that share the same spectral properties and which are pairwise connected through common super-potentials. The iso-spectral properties of these Hamiltonians imply that the dynamics and therefore control of different eigenstates are connected through supersymmetric intertwining relations. In this work we explore how this enables one to study general dynamics, shortcuts to adiabaticity and quantum speed limits for distinct states of different supersymmetric partner potentials by using the infinite box as an example.
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Keywords
Quantum gases , Quantum speed limits , Shortcuts to adiabaticity , Supersymmetry
Citation
Campbell, C., Li, J., Busch, T. and Fogarty, T. (2022) 'Quantum control and quantum speed limits in supersymmetric potentials', New Journal of Physics, 24(9):095001 (9pp). doi: 10.1088/1367-2630/ac89a4
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https://hdl.handle.net/10468/13701
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Physics - Journal Articles
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© 2022, The Authors. Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.