Counterdiabatic driving for random-gap Landau-Zener transitions
The Landau-Zener (LZ) model describes a two-level quantum system that undergoes an avoided crossing. In the adiabatic limit, the transition probability vanishes. An auxiliary control field HCD can be reverse-engineered so that the full Hamiltonian reproduces adiabaticity for all parameter values. Ou...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2 January 2026
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| In: |
Journal of physics. A, Mathematical and theoretical
Year: 2026, Volume: 59, Issue: 1, Pages: 1-21 |
| ISSN: | 1751-8121 |
| DOI: | 10.1088/1751-8121/ae2c28 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1088/1751-8121/ae2c28 Verlag, kostenfrei, Volltext: https://iopscience.iop.org/article/10.1088/1751-8121/ae2c28 
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| Author Notes: | Georgios Theologou, Mikkel F Andersen and Sandro Wimberger |
| Summary: | The Landau-Zener (LZ) model describes a two-level quantum system that undergoes an avoided crossing. In the adiabatic limit, the transition probability vanishes. An auxiliary control field HCD can be reverse-engineered so that the full Hamiltonian reproduces adiabaticity for all parameter values. Our aim is to construct a single control field H1 that drives an ensemble of LZ-type Hamiltonians with a distribution of energy gaps. H1 works best statistically, minimizing the average transition probability. We restrict our attention to a special class of H1 controls, motivated by HCD. We found a systematic trade-off between instantaneous adiabaticity and the final transition probability. Certain limiting cases with a linear sweep can be treated analytically; one of them being the LZ system with Dirac function. Comprehensive and systematic numerical simulations support and extend the analytic results. |
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| Item Description: | Gesehen am 19.03.2026 |
| Physical Description: | Online Resource |
| ISSN: | 1751-8121 |
| DOI: | 10.1088/1751-8121/ae2c28 |