Stueckelberg Oscillations in a Two‐State Two‐Path Model of a Conical Intersection

Nalbach, P.; Javanbakht, Samaneh; Stahl, Christopher; Thorwart, Michael

doi:10.1002/andp.201600147

Cited by 6 publications

(4 citation statements)

References 25 publications

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“…In particular, transitions that happen between two massive Dirac cones were shown to create an interferometer, revealing information on the band eigenstates, such as the chirality and mass sign (Fuchs et al, 2012;Lim et al, 2014). Similar descriptions of the driving near the Dirac points are applicable to various systems, such as Bloch oscillations of ultracold atoms in honeycomb optical potential (Xu, 2014), surface states of 3D topological insulators (Lim et al, 2012), ultrafast transfer of excitation energy in photoactive molecules (Nalbach et al, 2016), and electron-hole pair production in an electric field (Fillion-Gourdeau et al, 2016;Taya et al, 2021).…”

Section: Graphenementioning

confidence: 91%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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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.

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Section: Graphenementioning

confidence: 91%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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Section: Electronic Dynamicsmentioning

confidence: 97%

“…In the case ∆ = 500 cm −1 on the contrary, the CI is close to the turning point. In the ∆ = 0 case, the CI is very close to the FC region, thus leading to early Stueckelberg oscillations126 .Another way to explain the different oscillation timescales in the population evolution is the way the initial wave packet is expanded in the eigen vibronic basis set. This superposition depends on the gap ∆ and involves different energy gaps between the main eigenstates and therefore different oscillation periods.…”

mentioning

confidence: 99%

Statistical distributions of the tuning and coupling collective modes at a conical intersection using the hierarchical equations of motion

Mangaud

Lasorne

Atabek

et al. 2019

The Journal of Chemical Physics

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We investigate the possibility of extracting the probability distribution of the effective environmental tuning and coupling modes during the nonadiabatic relaxation through a conical intersection. Dynamics are dealt with an open quantum system master equation by partitioning a multistate electronic subsystem out of all the nuclear vibrators. This is an alternative to the more usual partition retaining the tuning and coupling modes of a conical intersection in the active subsystem coupled to a residual bath. The minimal partition of the electronic system generally leads to highly structured spectral densities for both vibrational baths and requires a strongly nonperturbative non-Markovian master equation, treated here by the hierarchical equations of motion (HEOMs). We extend—for a two-bath situation—the procedure proposed by Shi et al. [J. Chem. Phys. 140, 134106 (2014)], whereby the information contained in the auxiliary HEOM matrices is exploited in order to derive the nuclear dissipative wave packet, i.e., the statistical distribution of the displacement of the two tuning and coupling collective coordinates in each electronic state and the coherence. This allows us to visualize the distribution, all along the nonadiabatic decay. We explore a large parameter space for a symmetrical conical intersection model and a symmetrical initial Franck-Condon preparation. Some parameters could be controlled by external fields, while others are molecule dependent and could be designed by molecular engineering. We illustrate the relation between the strongly coupled electronic and bath dynamics together with a geometric measure of non-Markovianity.

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“…Often, the nuclei are treated classically 27 or the diabatic coupling is treated using perturbation theory. 28 Stueckelberg oscillations can occur near a conical intersection, 29 which make a treatment of the problem even more complicated. Therefore, rich two-dimensional spectra are expected for systems with conical intersections.…”

mentioning

confidence: 99%

Simulation of photo-excited adenine in water with a hierarchy of equations of motion approach

Dijkstra

Prokhorenko

2017

The Journal of Chemical Physics

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We present a theoretical method to simulate the electronic dynamics and two-dimensional ultraviolet spectra of the nucleobase adenine in water. The method is an extension of the hierarchy of equations of motion approach to treat a model with one or more conical intersections. The application to adenine shows that a two-level model with a direct conical intersection between the optically bright state and the ground state, generating a hot ground state, is not consistent with experimental observations. This supports a three-level model for the decay of electronically excited adenine in water as was previously proposed in the work of V. I. Prokhorenko et al. [J. Phys. Chem. Lett. 7, 4445 (2016)].

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Stueckelberg Oscillations in a Two‐State Two‐Path Model of a Conical Intersection

Cited by 6 publications

References 25 publications

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Statistical distributions of the tuning and coupling collective modes at a conical intersection using the hierarchical equations of motion

Simulation of photo-excited adenine in water with a hierarchy of equations of motion approach

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