Breaking the quantum adiabatic speed limit by jumping along geodesics

Xu, Kebiao; Xie, Tianyu; Shi, Fazhan; Wang, Zhenyu; Xu, Xiangkun; Wang, Pengfei; Wang, Ya; Plenio, Martin B.; Du, Jiangfeng

doi:10.1126/sciadv.aax3800

Cited by 23 publications

(17 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To create the avoided-level crossing with the NV centers, the authors of Ref. (Xu et al, 2019b) first applied a resonant microwave and considered the RWA, and then they explored the adiabatic evolution and nonadiabatic transitions.…”

Section: Some Experimental Observationsmentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

View full text Add to dashboard Cite

H. Comparison of different methods IV. Interferometry A. Superconducting circuits B. Semiconductor quantum dots C. Donors and impurities (atomic qubits) D. Graphene E. Microscopic systems F. Other systems G. Multilevel systems V. Quantum control A. Coherent control of microscopic and mesoscopic structures B. Universal single-and two-qubit control C. Shortcuts to adiabaticity D. Adiabatic quantum computation VI. Related classical coherent phenomena VII. Conclusion 1. With near-adiabatic limit (Landau) 2. With parabolic cylinder functions (Zener) 3. With contour integrals (Majorana) 4. With WKB approximation and phase integral method (Stückelberg) 5. Duration of the LZSM transition B. Description of a periodically driven two-level system 1. Adiabatic-impulse model a. Adiabatic evolution b. Multiple-passage evolution 2. Rotating-wave approximation (RWA) 3. Floquet theory 4. Rate equation and white noise approach a. Transition rate b. Rate equation c. From Bessel to Airy d. Double-passage regime ReferencesAbbreviations and most-often-used symbols Because this review article is quite long, for the readers' convenience, we present the main abbreviations used. This list also includes some of the topics covered.

show abstract

Section: Some Experimental Observationsmentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…With the precaution of either supplemental criteria on the time derivatives of the Hamiltonian [14,15] or explicit exclusion of resonant oscillations [16], the usual criterion does ensure the adiabatic following [17,18] to a high degree of precision. Insights from this discussion have also informed the use of adiabatic processes with degenerate Hamiltonians [19].…”

Section: Introductionmentioning

confidence: 99%

Adiabatic theorem revisited: the unexpectedly good performance of adiabatic passage

Benseny,

Mølmer

2020

Preprint

View full text Add to dashboard Cite

Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of a quantum system along the Hamiltonian eigenstates. For processes of finite duration, the exact time evolving state may deviate from the adiabatic eigenstate at intermediate times, but in numerous applications it is observed that this deviation reaches a maximum and then decreases significantly towards the end of the process. We provide a straightforward theoretical explanation for this welcome but often unappreciated fact. Our analysis emphasizes a separate adiabaticity criterion for high fidelity state-to-state transfer and it points to new effective shortcut strategies for near adiabatic dynamics.

show abstract

“…(For example, a recently derived adiabaticity condition [32] allowed for the use of specifically designed pulse sequences to realize adiabatic transformations in finite time. [33]) Moreover, the AMT allows for the adiabatic treatment of new phenomena that lie far outside of the rotating wave regime, such as Sisyphus cooling, and can address experimental challenges that are intractable using simpler driving protocols, such implementing Stimulated Hyper-Raman Adiabatic Passage in the presence of Autler-Townes shifts from spectator states [34,35].…”

Section: Generalizing Adiabatic Experimentsmentioning

confidence: 99%

Generalized Adiabatic Theorems: Quantum Systems Driven by Modulated Time-Varying Fields

Dodin,

Brumer

2021

Preprint

View full text Add to dashboard Cite

We present generalized adiabatic theorems for closed and open quantum systems that can be applied to slow modulations of rapidly varying fields, such as oscillatory fields that occur in optical experiments and light induced processes. The generalized adiabatic theorems show that a sufficiently slow modulation conserves the dynamical modes of time dependent reference Hamiltonians.In the limiting case of modulations of static fields, the standard adiabatic theorems are recovered.Applying these results to periodic fields shows that they remain in Floquet states rather than in energy eigenstates. More generally, these adiabatic theorems can be applied to transformations of arbitrary time-dependent fields, by accounting for the rapidly varying part of the field through the dynamical normal modes, and treating the slow modulation adiabatically. As examples, we apply the generalized theorem to (a) predict the dynamics of a two level system driven by a frequency modulated resonant oscillation, a pathological situation beyond the applicability of earlier results, and (b) to show that open quantum systems driven by slowly turned-on incoherent light, such as biomolecules under natural illumination conditions, can only display coherences that survive in the steady state.

show abstract

Breaking the quantum adiabatic speed limit by jumping along geodesics

Cited by 23 publications

References 38 publications

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Adiabatic theorem revisited: the unexpectedly good performance of adiabatic passage

Generalized Adiabatic Theorems: Quantum Systems Driven by Modulated Time-Varying Fields

Contact Info

Product

Resources

About