Dynamics of a Landau–Zener non-dissipative system with fluctuating energy levels

Fai, Lukong Cornelius; Diffo, J.T.; Ateuafack, M.E.; Tchoffo, Martin; Fouokeng, Georges Collince

doi:10.1016/j.physb.2014.07.081

Cited by 9 publications

(3 citation statements)

References 47 publications

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“…However, the exact solutions of the LMSZ dynamical problem exist and may be given in terms of parabolic cilinder functions 24 . Its popularity is confirmed also by a lot of studies, both theoretical and experimental, which have been developed aiming at generalizing the LMSZ scenario considering N-level systems [25][26][27][28][29] , total crossing of bare energies 30 and the presence of classical and quantum noise stemming from sources of incoherences [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] : incoherent (mixed) states, relaxation processes (e.g., spontaneous emission) or interaction with a surrounding environment (e.g., nuclear spin bath). Moreover, recently, the attention has been focused on double interacting spin-qubit systems subjected to LMSZ scenario [47][48][49][50] with the scope of identifying the signatures of the coupling in the two-spin dynamics and their potentiality for possible future applications 51 .…”

Section: Introductionmentioning

confidence: 99%

Landau-Majorana-Stückelberg-Zener dynamics driven by coupling for two interacting qutrit systems

2019

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A time-dependent two interacting spin-qutrit model is analysed and solved. The two interacting qutrits are subjected to a longitudinal field linearly varying over time as in the Landau-Majorana-Stückelberg-Zener (LMSZ) scenario. Although a transverse field is absent, we show the occurrence of LMSZ transitions assisted by the coupling between the two spin-qutrits. Such a physical effects permits to estimate experimentally the coupling strength between the spins and allows the generation of entangled states of the two qutrits by appropriately setting the slope of the ramp. Furthermore, the possibility of local and non-local control as well as the existence of dark states of the two qutrits have been brought to light. Effects stemming from a noisy surrounding environment are also taken into account by introducing a random fluctuating field component as well as non-Hermitian terms in the Hamiltonian model. PACS numbers:

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Section: Introductionmentioning

confidence: 99%

Landau-Majorana-Stückelberg-Zener dynamics driven by coupling for two interacting qutrit systems

2019

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“…The control of the coherence of the system can be implemented by modulating the polar angle; the result is in agreement with that obtained in Refs. [23] and [24]. We believe that all these phenomena come from the triangular bound potential.…”

Section: Resultsmentioning

confidence: 83%

Effects of Shannon entropy and electric field on polaron in RbCl triangular quantum dot

et al. 2016

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In this paper, the time evolution of the quantum mechanical state of a polaron is examined using the Pekar type variational method on the condition of the electric-LO-phonon strong-coupling and polar angle in RbCl triangular quantum dot. We obtain the eigenenergies, and the eigenfunctions of the ground state, and the first excited state respectively. This system in a quantum dot can be treated as a two-level quantum system qubit and the numerical calculations are performed. The effects of Shannon entropy and electric field on the polaron in the RbCl triangular quantum dot are also studied.

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“…Alain In figure 1, we have plotted the probability density when the electron is in the superposition state 0 1 and for several different values of the cyclotron frequency (a) 2.7 5) and the increase of entropy with the increase of the electric field strength. The control of the coherence of the system can be done with the modulation of the electric and magnetic fields [18] In figure 5, …”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field

Fotué¹

2015

AJMP

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Abstract:In this paper, we investigate the time evolution of the quantum mechanical state of a polaron using the Pekar type variational method on the electric-LO-phonon and the magnetic-LO-phonon strong coupling in a quantum dot. We obtain the Eigen energies and the Eigen functions of the ground state and the first excited state, respectively. In a quantum dot, this system can be viewed as a two level quantum system qubit. The superposition state polaron density oscillates in the quantum dot with a period when the polaron is in the superposition of the ground and the first-excited states. The spontaneous emission of phonons causes the decoherence of the qubit. We show that the density matrix of the qubit decays with the time while the coherence term of the density matrix element ( ) decays with the time as well for different coupling strengths, confinement lengths, and dispersion coefficients. The Shannon entropy is evaluated in order to investigate the decoherence of the system.

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Dynamics of a Landau–Zener non-dissipative system with fluctuating energy levels

Cited by 9 publications

References 47 publications

Landau-Majorana-Stückelberg-Zener dynamics driven by coupling for two interacting qutrit systems

Landau-Majorana-Stückelberg-Zener dynamics driven by coupling for two interacting qutrit systems

Effects of Shannon entropy and electric field on polaron in RbCl triangular quantum dot

Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field

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