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Annalen der Physik

(Ann. Phys. 6/2023)

Published Jun 1, 2023• 0 citations
Publisher

Abstract

Bloch–Zener Oscillations In article number 2300101, Zhongkai Huang and co-workers investigate the transient dynamics of Bloch–Zener oscillations in a 1D qubit chain. By analyzing several tight-binding models, most importantly Wannier–Stark ladder and Landau–Zener models, they find that controlling the band gap is crucial to understanding the interplay between Bloch oscillations and Landau–Zener transitions. This work suggests several routes for future study of these phenomena and provides new insight into the behavior of Bloch–Zener oscillations in complex systems.

DOI
10.1002/andp.202370011

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Bloch–Zener Oscillations In article number 2300101, Zhongkai Huang and co-workers investigate the transient dynamics of Bloch–Zener oscillations in a 1D qubit chain. By analyzing several tight-binding models, most importantly Wannier–Stark ladder and Landau–Zener models, they find that controlling the band gap is crucial to understanding the interplay between Bloch oscillations and Landau–Zener transitions. This work suggests several routes for future study of these phenomena and provides new insight into the behavior of Bloch–Zener oscillations in complex systems.
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It is well known that a particle in a periodic potential with an additional constant force performs Bloch oscillations. Modulating every second period of the potential, the original Bloch band splits into two subbands. The dynamics of quantum particles shows a coherent superposition of Bloch oscillations and Zener tunneling between the subbands, a Bloch-Zener oscillation. Such a system is modelled by a tight-binding Hamiltonian, a system of two minibands with an easily controllable gap. The dynamics of the system is investigated by using an algebraic ansatz leading to a differential equation of Whittaker-Hill type. It is shown that the parameters of the system can be tuned to generate a periodic reconstruction of the wave packet and thus of the occupation probability. As an application, the construction of a matter wave beam splitter and a Mach-Zehnder interferometer is briefly discussed. PACS numbers: 03.65.-w, 03.75.Be, 03.75.LmBloch-Zener oscillations 2 1.
It is well known that a particle in a periodic potential with an additional constant force performs Bloch oscillations. Modulating every second period of the potential, the original Bloch band splits into two sub-bands. The dynamics of quantum particles shows a coherent superposition of Bloch oscillations and Zener tunnelling between the sub-bands, a Bloch–Zener oscillation. Such a system is modelled by a tight-binding Hamiltonian which is a system of two minibands with an easily controllable gap. The dynamics of the system is investigated by using an algebraic ansatz leading to a differential equation of Whittaker–Hill type. It is shown that the parameters of the system can be tuned to generate a periodic reconstruction of the wave packet and thus of the occupation probability. As an application, the construction of a matter wave beam splitter and a Mach–Zehnder interferometer is briefly discussed.
It is well known that an electron in a single-band tight-binding lattice coherently driven by an external dc electric field undergoes Bloch oscillations. In the framework of the extended Hubbard model, here it is shown theoretically that two strongly interacting electrons with on-site and nearest-neighbor site repulsion undergo a sequence of Bloch oscillations and Zener tunneling, the so-called Bloch-Zener oscillations (BZOs), among different narrow bands formed by bound particle states. Such a kind of BZOs arise because of nearest-neighbor site particle interaction and are thus rather distinct than BZOs observed for a single electron in biperiodic lattices supporting two single-particle minibands.