Quantum control and quantum speed limits in supersymmetric potentials
Quantum Physics
2022-09-14 v1 Quantum Gases
Abstract
Supersymmetry allows one to build a hierarchy of Hamiltonians that share the same spectral properties and which are pairwise connected through common superpotentials. 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 (STA) and quantum speed limits for distinct states of different supersymmetric partner potentials by using the infinite box as an example.
Keywords
Cite
@article{arxiv.2206.13020,
title = {Quantum control and quantum speed limits in supersymmetric potentials},
author = {Christopher Campbell and Jing Li and Thomas Busch and Thomás Fogarty},
journal= {arXiv preprint arXiv:2206.13020},
year = {2022}
}
Comments
13 pages, 3 figures