Spacetime representation of topological phononics

Deymier, Pierre A.; Runge, Keith; Lucas, Pierre; Vasseur, J. O.

doi:10.1088/1367-2630/aaba18

Cited by 6 publications

(3 citation statements)

References 37 publications

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“…Much efforts have been devoted into realizing synthetic magnetism for neutral particles, in the artificial quantum systems [7,[16][17][18][19][20][21]. These include exploring topological photonics and phononics in circuit-QED-based photon lattices, optomechanical arrays and microwave cavity systems [15,[22][23][24][25][26]. For example, as discussed in [17,27], one can artificially generate synthetic magnetism for photons in an optomechanical systems via site-dependent modulated laser fields.…”

Section: Introductionmentioning

confidence: 99%

Generating synthetic magnetism via Floquet engineering auxiliary qubits in phonon-cavity-based lattice

Wang

2020

New J. Phys.

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Gauge magnetic fields have a close relation to breaking time-reversal symmetry in condensed matter.In the presence of the gauge fields, we might observe nonreciprocal and topological transport. Inspired by these, there is a growing effort to realize exotic transport phenomena in optical and acoustic systems. However, due to charge neutrality, realizing analog magnetic flux for phonons in nanoscale systems is still challenging in both theoretical and experimental studies. Here we propose a novel mechanism to generate synthetic magnetic field for phonon lattice by Floquet engineering auxiliary qubits. We find that, a longitudinal Floquet drive on the qubit will produce a resonant coupling between two detuned acoustic cavities. Specially, the phase encoded into the longitudinal drive can exactly be transformed into the phonon-phonon hopping. Our proposal is general and can be realized in various types of artificial hybrid quantum systems. Moreover, by taking surface-acoustic-wave (SAW) cavities for example, we propose how to generate synthetic magnetic flux for phonon transport. In the presence of synthetic magnetic flux, the time-reversal symmetry will be broken, which allows one to realize the circulator transport and analog Aharonov-Bohm effects for acoustic waves. Last, we demonstrate that our proposal can be scaled to simulate topological states of matter in quantum acoustodynamics system.In recent years, manipulating acoustic waves at a single-phonon level has drawn a lot of attention [28], and the quantum acoustodynamics (QAD) based on piezoelectric surface acoustic waves (SAW) has emerged as a versatile platform to explore quantum features of acoustic waves [29][30][31][32][33][34][35][36]. Unlike localized mechanical oscillations [37][38][39], the piezoelectric surface is much larger compared with the acoustic wavelength. Therefore, the phonons are itinerant on the material surface and in the form of propagating waves [31]. To control the quantized motions effectively, the SAW cavities are often combined with other systems, for example, with superconducting qubits or color centers, to form as hybrid quantum systems [40]. Analog to quantum controls with photons, many acoustic devices, such as circulators, switches and routers, are also needed for generating, controlling, and detecting SAW phonons in QAD experiment [10,35,[41][42][43][44][45][46][47]. However, it is still challenging to realize these nonreciprocal acoustic quantum devices in the artificial nano-and micro-scale SAW systems [27,48].By applying an external time periodic drive on a static system, the effective Hamiltonian of the whole system for the longtime evolution can be tailed freely, which allows one to observe topological band properties. This approach is referred as Floquet engineering [49][50][51], and has been exploited to simulate the topological toy models such as Haldane and Harper-Hofstadter lattices in artificial systems [21]. Inspired by these studies, we propose a novel method to realize synthetic magnetism in the phonon systems ...

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Section: Introductionmentioning

confidence: 99%

Generating synthetic magnetism via Floquet engineering auxiliary qubits in phonon-cavity-based lattice

Wang

2020

New J. Phys.

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“…In recent twenty years, due to the similar band structures as semiconductor materials, the artificial periodic structures, known as metamaterials, have also attracted a rapidly growing interest, such as sonic crystals 22 , superlens 23,24 , negative refraction 25,26 , electromagnetic cloaks 27 , thermal diodes 28 , and acoustic topological materials 29–33 . As with their semiconductor counterparts, integrating metamaterials with different band gaps can result in heterojunctions at interfaces, which have already been used in nanophotonics to achieve high performance devices 34 and all-optical memory 35 .…”

Section: Introductionmentioning

confidence: 99%

Acoustic extraordinary transmission manipulation based on proximity effects of heterojunctions

Liu

Zhang

Fan

2019

Sci Rep

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Heterojunctions between two crystalline semiconductor layers or regions can always lead to engineering the electronic energy bands in various devices, including transistors, solar cells, lasers, and organic electronic devices. The performance of these heterojunction devices depends crucially on the band alignments and their bending at the interfaces, which have been investigated for years according to Anderson’s rule, Schottky-Mott rule, Lindhard theory, quantum capacitance, and so on. Here, we demonstrate that by engineering two different acoustic waveguides with forbidden bands, one can achieve an acoustic heterojunction with an extraordinary transmission peak arising in the middle of the former gaps. We experimentally reveal that such a transmission is spatially dependent and disappears for a special junction structure. The junction proximity effect has been realized by manipulating the acoustic impedance ratios, which have been proven to be related to the geometrical (Zak) phases of the bulk bands. Acoustic heterojunctions bring the concepts of quantum physics into the classical waves and the macroscopic scale, opening up the investigations of phononic, photonic, and microwave innovation devices.

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“…However, since phonons are spinless particles, this corresponds to the Klein-Gordon (KG) rather than the Weyl equation. In contrast to previous Klein-Gordon approaches to acoustics [43][44][45][46], here we focus on the "relativistic" four-momentum operator in the problem rather than on the wave equation itself. Remarkably, we find that this operator is generally non-Hermitian (even in idealized lossless media with real-valued parameters) and it provides a single Z 2 topological bulk index determined by sgn(ρ).…”

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confidence: 99%

Klein-Gordon Representation of Acoustic Waves and Topological Origin of Surface Acoustic Modes

Bliokh

Nori

2019

Phys. Rev. Lett.

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Recently, it was shown that surface electromagnetic waves at interfaces between continuous homogeneous media (e.g., surface plasmon-polaritons at metal-dielectric interfaces) have a topological origin [K. Y. Bliokh et al., Nat. Commun. 10, 580 (2019)]. This is explained by the nontrivial topology of the non-Hermitian photon helicity operator in the Weyl-like representation of Maxwell equations. Here we analyze another type of classical waves: longitudinal acoustic waves corresponding to spinless phonons. We show that surface acoustic waves, which appear at interfaces between media with opposite-sign densities, can be explained by similar topological features and the bulk-boundary correspondence. However, in contrast to photons, the topological properties of sound waves originate from the non-Hermitian four-momentum operator in the Klein-Gordon representation of acoustic fields.

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Spacetime representation of topological phononics

Cited by 6 publications

References 37 publications

Generating synthetic magnetism via Floquet engineering auxiliary qubits in phonon-cavity-based lattice

Generating synthetic magnetism via Floquet engineering auxiliary qubits in phonon-cavity-based lattice

Acoustic extraordinary transmission manipulation based on proximity effects of heterojunctions

Klein-Gordon Representation of Acoustic Waves and Topological Origin of Surface Acoustic Modes

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