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arXiv:2205.04625 · Physics Letters A

Landau-Zener transition between two levels coupled to continuum

Rajesh K. Malla, M. É. Raǐkh

Published Jun 9, 2022• 4 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2022.128249

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Abstract Landau‐Zener (LZ) transitions in the three‐level bow‐tie model (3L‐BTM) in a dissipative environment are investigated by using the numerically accurate method of multiple Davydov Ansätze. The 3L‐BTM coupled to a single harmonic mode is first considered, and evolutions of transition probabilities for selected values of model parameters are studied and interpreted with the aid of the energy diagram method. Then the 3L‐BTM coupled to a boson bath of a continuum spectral density is explored. The simulations demonstrate that sub‐Ohmic, Ohmic and super‐Ohmic boson baths have substantially different influences on the 3L‐BTM dynamics, which cannot be grasped by the standard phenomenological Markovian single‐rate descriptions. Novel bath‐induced phenomena are also described, which are absent in two‐level LZ systems.
The Landau-Zener transition in a two level system can be suppressed or enhanced by coupling to an environment, depending on the temperature and the environment spectral function. We consider the marginal spectral function, when the dissipation effects are important for arbitrarily slow motion. Landau-Zener transition rate demonstrates a non-trivial dependence of the on the ``bias'', i. e. on the rate of the two energy levels relative motion. The Landau-Zener transition is fully suppressed for the values of the bias below a threshold bias set by the coupling strength. Above the threshold, the transition rate for zero temperature is found using the instanton method. At finite temperature, the Landau-Zener transition rate has a non-monotonic dependence on the coupling strength, being suppressed at the strong coupling.