Zener Tunneling of Light Waves in an Optical Superlattice

Ghulinyan, Mher; Otón, Claudio J.; Gaburro, Z.; Pavesi, L.; Toninelli, Costanza; Wiersma, Diederik S.

doi:10.1103/physrevlett.94.127401

Cited by 138 publications

(81 citation statements)

References 19 publications

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“…With minor variations, the numerical techniques can be applied to study carrier dynamics in other systems (e.g. double quantum dots [14,35] and irregularly shaped potentials [36]) and even areas of physics, such as photonics [37,38,39,40] and cold atom optical traps [41,42,43,44]; these are reserved for the future investigations.…”

Section: Discussionmentioning

confidence: 99%

Interminiband Rabi oscillations in biased semiconductor superlattices

Abumov

Sprung

2007

Phys. Rev. B

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Carrier dynamics at energy level anticrossings in biased semiconductor superlattices, was studied in the time domain by solving the time-dependent Schrödinger equation. The resonant nature of interminiband Rabi oscillations has been explicitly demonstrated to arise from interference of intrawell and Bloch oscillations. We also report a simulation of direct Rabi oscillations across three minibands, in the high field regime, due to interaction between three strongly coupled minibands.

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Section: Discussionmentioning

confidence: 99%

Interminiband Rabi oscillations in biased semiconductor superlattices

Abumov

Sprung

2007

Phys. Rev. B

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“…The rods we analyze can be used to localize different frequencies in different parts of the elastic systems and viceversa. PACS numbers: 43.35.+d,63.20.Pw,43.40.Cw Recently, undulatory systems showing analogues of Bloch oscillations and Wannier-Stark ladders (WSL) attracted increasing attention in several fields of physics [1,2,3,4,5]. As shown by Bloch, electrons in a periodic potential have extended solutions.…”

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confidence: 99%

Wannier-Stark Ladders in One-Dimensional Elastic Systems

et al. 2006

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The optical analogues of Bloch oscillations and their associated Wannier-Stark ladders have been recently analyzed. In this paper we propose an elastic realization of these ladders, employing for this purpose the torsional vibrations of specially designed one-dimensional elastic systems. We have measured, for the first time, the ladder wave amplitudes, which are not directly accessible either in the quantum mechanical or optical cases. The wave amplitudes are spatially localized and coincide rather well with theoretically predicted amplitudes. The rods we analyze can be used to localize different frequencies in different parts of the elastic systems and viceversa. PACS numbers: 43.35.+d,63.20.Pw,43.40.Cw Recently, undulatory systems showing analogues of Bloch oscillations and Wannier-Stark ladders (WSL) attracted increasing attention in several fields of physics [1,2,3,4,5]. As shown by Bloch, electrons in a periodic potential have extended solutions. The same is true for the behavior of an electron under the action of a static electric field. In contrast, and opposite to intuition, when both the periodic potential and the electric field are present, the solutions are localized; this is only true when band to band Zener tunneling is negligible or the system is short enough. The spectrum then shows equally spaced resonances known as Wannier-Stark ladders, the nearest-neighbor level spacing being proportional to the intensity of the external field [6]. In the time domain, the Wannier-Stark ladders yield the so called Bloch oscillations which consist in a counterintuitive effect where the electrons show an * Permanent address:

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“…The WSL in solid state were finally observed decades later using superlattices [15]. They have recently been found in optics as well [3,4]. As will be shown, by modifying appropriately the small rods in a systematic way one can obtain an elastic analog of WSL [11].…”

Section: Destroying the Symmetrymentioning

confidence: 94%

“…Among them, mechanical [1], microwave [2], optical [3,4,5,6], and elastic systems [7] have been studied along these lines. This approach is sometimes, jokingly speaking, referred to as megascopic physics.…”

Section: Introductionmentioning

confidence: 99%

Building and destroying symmetry in 1-D elastic systems

Flores¹,

Monsiváis²,

Mora³

et al. 2010

AIP Conference Proceedings

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Abstract. Locally periodic rods, which show approximate invariance with respect to translations, are constructed by joining N unit cells. The spectrum then shows a band spectrum. We then break the local periodicity by including one or more defects in the system. When the defects follow a certain definite prescription, an analog of the Wannier-Stark ladders is gotten; when the defects are random, an elastic rod showing Anderson localization is obtained. In all cases experimental values match the theoretical predictions.

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Zener Tunneling of Light Waves in an Optical Superlattice

Cited by 138 publications

References 19 publications

Interminiband Rabi oscillations in biased semiconductor superlattices

Interminiband Rabi oscillations in biased semiconductor superlattices

Wannier-Stark Ladders in One-Dimensional Elastic Systems

Building and destroying symmetry in 1-D elastic systems

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