Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals
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 t...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-01-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/23/1/81 |
| _version_ | 1827603396419387392 |
|---|---|
| author | Agniva Roychowdhury Sebastian Deffner |
| author_facet | Agniva Roychowdhury Sebastian Deffner |
| author_sort | Agniva Roychowdhury |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T05:38:55Z |
| format | Article |
| id | doaj.art-53ff24f6caa14656841a4fbf1e5b17ee |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T05:38:55Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-53ff24f6caa14656841a4fbf1e5b17ee2023-12-03T12:26:41ZengMDPI AGEntropy1099-43002021-01-012318110.3390/e23010081Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl SemimetalsAgniva Roychowdhury0Sebastian Deffner1Department of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USADepartment of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USAOnly 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.https://www.mdpi.com/1099-4300/23/1/81shortcuts to adiabaticityquantum controlDirac dynamicsion trapsWeyl semimetals |
| spellingShingle | Agniva Roychowdhury Sebastian Deffner Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals Entropy shortcuts to adiabaticity quantum control Dirac dynamics ion traps Weyl semimetals |
| title | Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals |
| title_full | Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals |
| title_fullStr | Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals |
| title_full_unstemmed | Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals |
| title_short | Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals |
| title_sort | time rescaling of dirac dynamics shortcuts to adiabaticity in ion traps and weyl semimetals |
| topic | shortcuts to adiabaticity quantum control Dirac dynamics ion traps Weyl semimetals |
| url | https://www.mdpi.com/1099-4300/23/1/81 |
| work_keys_str_mv | AT agnivaroychowdhury timerescalingofdiracdynamicsshortcutstoadiabaticityiniontrapsandweylsemimetals AT sebastiandeffner timerescalingofdiracdynamicsshortcutstoadiabaticityiniontrapsandweylsemimetals |