Acoustic Analogue of Electronic Bloch Oscillations and Resonant Zener Tunneling in Ultrasonic Superlattices

Sanchis-Alepuz, Hèlios; Kosevich, Yuriy A.; Sánchez‐Dehesa, José

doi:10.1103/physrevlett.98.134301

Cited by 127 publications

(91 citation statements)

References 26 publications

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“…In their essence, BO are a wave phenomenon. As such, they are found for optical [7][8][9][10][11] and acoustic 12 waves as well. When interactions between particles compete with their mobility, novel dynamical behaviour can arise where particles form bound states 13 and co-tunnel through the lattice 14 .…”

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confidence: 63%

Fractional Bloch oscillations in photonic lattices

et al. 2013

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Bloch oscillations, the oscillatory motion of a quantum particle in a periodic potential, are one of the most fascinating effects of coherent quantum transport. Originally studied in the context of electrons in crystals, Bloch oscillations manifest the wave nature of matter and are found in a wide variety of different physical systems. Here we report on the first experimental observation of fractional Bloch oscillations, using a photonic lattice as a model system of a two-particle extended Bose–Hubbard Hamiltonian. In our photonic simulator, the dynamics of two correlated particles hopping on a one-dimensional lattice is mapped into the motion of a single particle in a two-dimensional lattice with engineered defects and mimicked by light transport in a square waveguide lattice with a bent axis

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confidence: 63%

Fractional Bloch oscillations in photonic lattices

et al. 2013

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“…The existence of BO has been demonstrated in plenty of systems described by a wave equation. For instance, BO has been reported in ultracold atoms, 6,7 Bose-Einstein condensates, 8 light waves in photonic crystals, [9][10][11] and more recently in sound waves in phononic crystals, [12][13][14][15] proposing alternative ways to mimic the effects of the periodic potentials under external fields.…”

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confidence: 99%

Experimental and theoretical demonstration of acoustic Bloch oscillations in porous silicon structures

Lazcano

Arriaga

Aliev

2014

Journal of Applied Physics

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We report the theoretical calculations and the experimental demonstration of acoustic Bloch oscillations and Wannier-Stark ladders in linear tilted multilayer structures based on porous silicon. The considered structures consist of layers with constant porosity alternated by layers with a linear gradient in the parameter g ¼ 1=v 2L along the growth direction in order to tilt the acoustic band gap. The purpose of this gradient is to mimic the tilted electronic miniband structure of a superlattice semiconductor under an external electric field. In this way, acoustic Wannier-Stark ladders of equidistant modes are formed and they were experimentally confirmed in the transmission spectrum around 1.2 GHz. Their frequency separation defines the period of the acoustic Bloch oscillations. We fabricated three different structures with the same thicknesses but different values in the g parameter to observe the effect on the period of the Bloch oscillations. We measured the acoustic transmission spectra in the frequency domain, and by using the Fourier transform, we obtained the transmission in the time domain. The transmission spectra of the fabricated samples show acoustic Bloch oscillations with periods of 27, 24, and 19 ns. The experimental results are in good agreement with the transfer matrix calculations. The observed phenomenon is the acoustic counterpart of the well known electronic Bloch oscillations. V C 2014 AIP Publishing LLC.

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“…Vibration WSLs were observed in one dimensional (1D) elastic chains [27]. The existence of acoustic BOs and LZT was demonstrated in an ultrasonic superlattice made of 1D water cavities between layers of a solid polymer [28] and on macroscopic 2D phononic crystals [29]. Nevertheless, the realization of such experiments in a solid state device fabricated with standard lithography techniques has not yet been reported for phononic structures.…”

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“…is the wave angular frequency, v x is the group velocity of the wave packet, which is a periodic function of k x d, and d is the spatial period of the unperturbed system. In the case of weakly coupled cavities, the tight-binding approximation gives v x / sinðk x dÞ [28]. In this case, @!=@x is given by the gradient of resonant frequencies @!…”

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Surface Acoustic Bloch Oscillations, the Wannier-Stark Ladder, and Landau-Zener Tunneling in a Solid

et al. 2010

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We present the experimental observation of Bloch oscillations, the Wannier-Stark ladder, and LandauZener tunneling of surface acoustic waves in perturbed grating structures on a solid substrate. A model providing a quantitative description of our experimental observations, including multiple Landau-Zener transitions of the anticrossed surface acoustic Wannier-Stark states, is developed. The use of a planar geometry for the realization of the Bloch oscillations and Landau-Zener tunneling allows a direct access to the elastic field distribution. The vertical surface displacement has been measured by interferometry. DOI: 10.1103/PhysRevLett.104.165502 PACS numbers: 63.20.Àe, 43.35.+d, 63.22.Àm, 68.35.Àp Bloch oscillations (BOs) of an electron in a periodic potential under a constant electric field is a paradigm quantum effect [1,2]. BOs of the wave-packet group velocity are the result of the interplay between the particlelike acceleration by a constant driving force and wave Bragg reflection in the periodic potential. The frequencydomain counterpart of BOs is the equidistant WannierStark ladder (WSL) of localized states in a perturbed periodic system [3]. Electron BOs and WSL have been demonstrated in a number of experiments after the advent of semiconductor superlattices (SSLs) [4]. The WSL leads to resonances of the density of electronic states which were observed for the first time in optical spectra in SSLs [5]. BOs were first observed in time-resolved optical experiments in biased SSLs as oscillations of electron wave packets [6][7][8][9][10], and later as a periodic motion of ensembles of ultracold atoms [11,12] and Bose-Einstein condensates [13,14] in optical lattices. The related high-field phenomenon, Landau-Zener tunneling (LZT) between neighboring bands across the band gap [15,16], was also observed in SSLs for electrons [17,18] In this Letter, we demonstrate that fundamental effects of quantum-wave transport in a perturbed periodic potential such as BOs, WSL, and LZT can be studied with surface acoustic waves (SAWs) in a solid. Our experimental results, including multiple LZ-like transitions between the anticrossed surface acoustic WS states, are described by a theoretical model developed by us. The used planar geometry allows the direct access to the elastic field distribution of the corresponding WS and LZ eigenstates.In our approach, we employ SAW cavities separated by acoustic Bragg reflectors (BRs). These structures are defined by locally changing the SAW propagation properties via the deposition of thin gold stripes in-between a LiNbO 3 SAW delay line (see Fig. 1). The BRs are efficient barriers, presenting high reflectivity for an incoming wave packet. This arises from the destructive interference of the properly arranged set of reflectors that creates a stop-band in the transmission spectrum for the incoming wave. Further-

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Acoustic Analogue of Electronic Bloch Oscillations and Resonant Zener Tunneling in Ultrasonic Superlattices

Cited by 127 publications

References 26 publications

Fractional Bloch oscillations in photonic lattices

Fractional Bloch oscillations in photonic lattices

Experimental and theoretical demonstration of acoustic Bloch oscillations in porous silicon structures

Surface Acoustic Bloch Oscillations, the Wannier-Stark Ladder, and Landau-Zener Tunneling in a Solid

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