Observation of dynamical phase transitions in a topological nanomechanical system

Tian, Tian; Ke, Yongguan; Zhang, Liang; Sun, Liwei; Shi, Zhifu; Huang, Pu; Lee, Chaohong; Du, Jiangfeng

doi:10.1103/physrevb.100.024310

Cited by 68 publications

(48 citation statements)

References 50 publications

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“…Among many other intriguing applications (see Ref. [19] for a review), DQPTs have become an important diagnostic tool for identifying topological insula- tor phases [27,28] in systems far from equilibrium, as has been demonstrated in recent experiments on various physical platforms, ranging from ultracold atomic gases [18], over superconducting qubit systems [29], and quantum walks in photonic systems [30,31], to nanomechanical settings [32]. The underlying conceptual insight is that changes in the topological properties over a quench generically imply the occurrence of DQPTs [14,15].…”

Section: Introductionmentioning

confidence: 99%

Stability of dynamical quantum phase transitions in quenched topological insulators: From multiband to disordered systems

Mendl

Budich

2019

Phys. Rev. B

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Dynamical quantum phase transitions (DQPTs) represent a counterpart in non-equilibrium quantum time evolution of thermal phase transitions at equilibrium, where real time becomes analogous to a control parameter such as temperature. In quenched quantum systems, recently the occurrence of DQPTs has been demonstrated, both with theory and experiment, to be intimately connected to changes of topological properties. Here, we contribute to broadening the systematic understanding of this relation between topology and DQPTs to multi-orbital and disordered systems. Specifically, we provide a detailed ergodicity analysis to derive criteria for DQPTs in all spatial dimensions, and construct basic counter-examples to the occurrence of DQPTs in multi-band topological insulator models. As a numerical case study illustrating our results, we report on microscopic simulations of the quench dynamics in the Harper-Hofstadter model. Furthermore, going gradually from multiband to disordered systems, we approach random disorder by increasing the (super) unit cell within which random perturbations are switched on adiabatically. This leads to an intriguing order of limits problem which we address by extensive numerical calculations on quenched one-dimensional topological insulators and superconductors with disorder. arXiv:1909.01402v1 [cond-mat.quant-gas]

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Section: Introductionmentioning

confidence: 99%

Stability of dynamical quantum phase transitions in quenched topological insulators: From multiband to disordered systems

Mendl

Budich

2019

Phys. Rev. B

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“…The large vibration amplitudes of singly-clamped nanopillars in the range of tens or hundreds of nanometers allow for the microscopic imaging of their response and thus for the direct visualization of the many-body dynamics in an all-mechanical array. This promises important insights for the emergent field of collective dynamical phenomena which includes phenomena such as acoustic metamaterials 17,26,27 , synchronization 28–31 , topologically protected transport 27,32,33 , or non-reciprocal signal transduction 34 , and may pave the way towards nanomechanical computing 35 or nanomechanical implementations of neural networks 36 .…”

Section: Discussionmentioning

confidence: 99%

Collective dynamics of strain-coupled nanomechanical pillar resonators

et al. 2019

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Semiconductur nano- and micropillars represent a promising platform for hybrid nanodevices. Their ability to couple to a broad variety of nanomechanical, acoustic, charge, spin, excitonic, polaritonic, or electromagnetic excitations is utilized in fields as diverse as force sensing or optoelectronics. In order to fully exploit the potential of these versatile systems e.g. for metamaterials, synchronization or topologically protected devices an intrinsic coupling mechanism between individual pillars needs to be established. This can be accomplished by taking advantage of the strain field induced by the flexural modes of the pillars. Here, we demonstrate strain-induced, strong coupling between two adjacent nanomechanical pillar resonators. Both mode hybridization and the formation of an avoided level crossing in the response of the nanopillar pair are experimentally observed. The described coupling mechanism is readily scalable, enabling hybrid nanomechanical resonator networks for the investigation of a broad range of collective dynamical phenomena.

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“…Therefore, realizing a reconfigurable nanomechanical network with excellent individual tunability is necessary, but it has thus far remained elusive. * djf@ustc.edu.cn Built upon our previous works [22,23], here we successfully extend the parametric coupling from onedimensional nearest-neighbor (NN) high-quality-factor resonators to next-nearest-neighbor (NNN) ones, and we put forward an on-chip reconfigurable nanoelectromechanical network. By controlling external voltages, we first show that the couplings of NN and NNN resonators can be independently changed, and the strong-coupling regime can be reached.…”

Section: Introductionmentioning

confidence: 99%

Perfect coherent transfer in an on-chip reconfigurable nanoelectromechanical network

et al. 2020

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Realizing a controllable network with multiple degrees of interaction is a challenge to physics and engineering. Here, we experimentally report an on-chip reconfigurable network based on nanoelectromechanical resonators with nearest-neighbor (NN) and next-nearest-neighbor (NNN) strong couplings. By applying different parametric voltages on the same on-chip device, we carry out perfect coherent transfer in NN and NNN coupled array networks. Moreover, the low-loss resonators ensure the desired evolution to achieve perfect transfer and the demonstration of the parity-dependent phase relation at transmission cycles. The realization of NNN couplings demonstrates the capability of engineering coherent coupling beyond a simple model of a NN coupled array of doubly clamped resonators. Our reconfigurable nanoelectromechanical network provides a highly tunable physical platform and offers the possibilities of investigating various interesting phenomena, such as topological transport, synchronization of networks, as well as metamaterials.

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Observation of dynamical phase transitions in a topological nanomechanical system

Cited by 68 publications

References 50 publications

Stability of dynamical quantum phase transitions in quenched topological insulators: From multiband to disordered systems

Stability of dynamical quantum phase transitions in quenched topological insulators: From multiband to disordered systems

Collective dynamics of strain-coupled nanomechanical pillar resonators

Perfect coherent transfer in an on-chip reconfigurable nanoelectromechanical network

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