Dynamics of a Landau–Zener transitions in a two-level system driven by a dissipative environment

Ateuafack, M.E.; Diffo, J.T.; Fai, Lukong Cornelius

doi:10.1016/j.physb.2015.12.012

Cited by 5 publications

(3 citation statements)

References 43 publications

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“…The latter mimics the result derived by Zener in the double passage problem [76]. In a general frame, constructive interference will be observed when the imaginary part of the diagonal elements of the transition matrix tends to zero.…”

Section: Two-statesupporting

confidence: 83%

Quantum Interferometry for Different Energy Landscapes in a Tuneable Josephson Junction Circuit

Nguenang¹,

Jipdi²,

Louodop³

et al. 2020

JAMP

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This paper presents a simple Josephson-junction circuit with two parameters (inductance and capacitance) which can be tuned to represent different energy landscapes with different physical properties. By tuning this quantum circuit through external accessible elements we can move from two to three and more energy levels depending on the parameter setting. The inductance, the capacitance as well as the external voltage (driving terms) condition the number of relevant energy levels as well as the model to be used.

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Section: Two-statesupporting

confidence: 83%

Quantum Interferometry for Different Energy Landscapes in a Tuneable Josephson Junction Circuit

Nguenang¹,

Jipdi²,

Louodop³

et al. 2020

JAMP

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“…With regard to the papers [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23], we note that the results for the average transition probabilities were obtained only in two "extreme" cases: τ c → 0 for the fast noise and τ c → ∞ for the slow noise. The corrections in small parameters τ c /τ LZ for the fast noise and τ LZ /τ c for the slow noise were not found.…”

Section: Introductionmentioning

confidence: 91%

“…Further developments in the theory of the noise-driven Landau-Zener transition in Refs. [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] included: (i) consideration of specific microscopic models of the environment leading to random J(t); (ii) extension of Eq. ( 4) to the case when J(t) has both constant and fluctuating components (Pokrovsky-Sinitsyn formula); and (iii) generalization of the theory of the fast noise to the case of three and more crossing levels.…”

Section: Introductionmentioning

confidence: 99%

Landau-Zener transition driven by slow noise

Luo

Raǐkh

2017

Phys. Rev. B

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When the drive which causes the level crossing in a qubit is slow, the probability, PLZ, of the Landau-Zener transition is close to 1. We show that in this regime, which is most promising for applications, the noise due to the coupling to the environment, reduces the average PLZ. At the same time, the survival probability, 1 − PLZ, which is exponentially small for a slow drive, can be completely dominated by noise-induced correction. Our main message is that the effect of a weak classical noise can be captured analytically by treating it as a perturbation in the Schrödinger equation. This allows us to study the dependence of the noise-induced correction to PLZ on the correlation time of the noise. As this correlation time exceeds the bare Landau-Zener transition time, the effect of noise becomes negligible. We consider two conventional realizations of noise: gaussian noise and telegraph noise.

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