Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals
| dc.contributor.author | Roychowdhury, Agniva | |
| dc.contributor.author | Deffner, Sebastian | |
| dc.date.accessioned | 2021-01-21T18:45:01Z | |
| dc.date.available | 2021-01-21T18:45:01Z | |
| dc.date.issued | 2021-01-08 | |
| dc.description.abstract | Only very recently, rescaling time has been recognized as a way to achieve adiabatic dynamics in fast processes. The advantage of time-rescaling over other shortcuts to adiabaticity is that it does not depend on the eigenspectrum and eigenstates of the Hamiltonian. However, time-rescaling requires that the original dynamics are adiabatic, and in the rescaled time frame, the Hamiltonian exhibits non-trivial time-dependence. In this work, we show how time-rescaling can be applied to Dirac dynamics, and we show that all time-dependence can be absorbed into the effective potentials through a judiciously chosen unitary transformation. This is demonstrated for two experimentally relevant scenarios, namely for ion traps and adiabatic creation of Weyl points | en |
| dc.description.sponsorship | This research was supported by grant number FQXi-RFP-1808 from the Foundational Questions Institute and Fetzer Franklin Fund, a donor-advised fund of Silicon Valley Community Foundation (SD). | en |
| dc.description.uri | https://www.mdpi.com/1099-4300/23/1/81 | en |
| dc.format.extent | 13 pages | en |
| dc.genre | journal articles preprints | en |
| dc.identifier | doi:10.13016/m2ekfl-s712 | |
| dc.identifier.citation | Roychowdhury, Agniva; Deffner, Sebastian; Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals; Entropy 2021, 23(1), 81; https://www.mdpi.com/1099-4300/23/1/81 | en |
| dc.identifier.uri | https://doi.org/10.3390/e23010081 | |
| dc.identifier.uri | http://hdl.handle.net/11603/20577 | |
| dc.language.iso | en | en |
| dc.publisher | MDPI | en |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Physics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.relation.ispartof | UMBC Student Collection | |
| dc.rights | Attribution 4.0 International (CC BY 4.0) | * |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | * |
| dc.title | Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals | en |
| dc.type | Text | en |