Sun 
<i>et al.</i>
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Sun, Shumei; Tang, Fujie; Imoto, Sho; Moberg, Daniel R.; Ohto, Tatsuhiko; Paesani, Francesco; Bonn, Mischa; Backus, Ellen H. G.; Nagata, Yuki

doi:10.1103/physrevlett.123.099602

Cited by 18 publications

(34 citation statements)

References 8 publications

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“…In contrast to discrete-time quantum walks, which require pulsed control over the system, continuous-time quantum walks (CTQW) can arise directly in free Hamiltonian systems such as two-dimensional spin-orbit lattice models. These CTQW have been shown to reveal topological phase transitions [17], a fact supported by recent experiments [18]. In such CTQW, the resulting density profile of an initially localized particle is expected to contain a wealth of information to identify the topological order of the underlying quantum system, provided one can extract this information efficiently.…”

Section: Resultsmentioning

confidence: 78%

“…The density profile is strongly dependent on the system's topology, and can be used as a diagnostic of topological phases, and the phase transitions between them, as discussed in Refs. [17,18]. From these previous studies, good signatures for topological phase identification are the central features of the position distribution and the ring pattern of the momentum distribution, which reveal that the Hamiltonian localizes in a nontrivial topological phase with Chern number C = ±1.…”

Section: Resultsmentioning

confidence: 82%

“…We will investigate the use of both the particle's spatial as well as its momentum density profiles, marginalizing over the particles internal state. Specifically, we consider the two-dimensional spin-orbit lattice Hamiltonian [17,18,26,27], as described in the Methods. We use this model to test our method for topological phase identification because the topological invariant (Chern number) of this system is easily calculated, allowing us to check the accuracy of our method.…”

Section: Resultsmentioning

confidence: 99%

“…The discovery and characterisation of novel topological quantum materials requires a general and efficient method to identify these topological invariants using experimentally accessible properties. For bulk systems of topological insulators, these can often be inferred from the existence of edge states [2,10], or particle dynamics, such as the anomalous velocities obtained by wave packets under applied forces [11,12], and quantum walks [13][14][15][16][17][18][19]. However, despite the considerable theoretical progress in developing classification methods for topological phases, we still lack a universal automatic method for the discovery and characterisation of new materials.…”

Section: Introductionmentioning

confidence: 99%

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Quantum topology identification with deep neural networks and quantum walks

Ming¹,

Lin²,

Bartlett³

et al. 2019

npj Comput Mater

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Topologically ordered materials may serve as a platform for new quantum technologies such as fault-tolerant quantum computers. To fulfil this promise, efficient and general methods are needed to discover and classify new topological phases of matter. We demonstrate that deep neural networks augmented with external memory can use the density profiles formed in quantum walks to efficiently identify properties of a topological phase as well as phase transitions. On a trial topological ordered model, our method's accuracy of topological phase identification reaches 97.4%, and is shown to be robust to noise on the data. Furthermore, we demonstrate that our trained DNN is able to identify topological phases of a perturbed model and predict the corresponding shift of topological phase transitions without learning any information about the perturbations in advance. These results demonstrate that our approach is generally applicable and may be used to identify a variety of quantum topological materials.

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Section: Resultsmentioning

confidence: 78%

Section: Resultsmentioning

confidence: 82%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantum topology identification with deep neural networks and quantum walks

Ming¹,

Lin²,

Bartlett³

et al. 2019

npj Comput Mater

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“…Complete RMP-induced ELM suppression was first demonstrated on the DIII-D tokamak [5]. Subsequently, either mitigation or compete suppression of ELMs has been demonstrated on the JET [6], ASDEX-U [7], KSTAR [8], and EAST [9] tokamaks.…”

Section: Motivation For Rmp-generated Elm Suppressionmentioning

confidence: 99%

Theory of edge localized mode suppression by static resonant magnetic perturbations in the DIII-D tokamak

Fitzpatrick

2020

Physics of Plasmas

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An analytic theory of edge localized mode (ELM) suppression in an H-mode tokamak plasma via the application of a static, externally generated, resonant magnetic perturbation (RMP) is presented. This theory is based on the plausible hypothesis that mode penetration at the top of the pedestal is a necessary and sufficient condition for the RMP-induced suppression of ELMs. The theory also makes use of a number of key insights gained in a recent publication (Fitzpatrick R 2019). The first insight is that the response of the plasma to a particular helical component of the RMP, in the immediate vicinity of the associated resonant surface, is governed by nonlinear magnetic island physics, rather than by linear layer physics. The second insight is that neoclassical effects play a vital role in the physics of RMP-induced ELM suppression. The final insight is that plasma impurities play an important role in the physics of RMPinduced ELM suppression. The theory presented in this paper is employed to gain a better understanding ELM suppression in DIII-D and ITER H-mode discharges. It is found that ELM suppression is only possible when q 95 takes values that lie in certain narrow windows. Moreover, the widths of these windows decrease with increasing plasma density. Assuming a core plasma rotation of 20 krad/s, the window width for a model ITER H-mode discharge is found to be similar to, but slightly smaller than, the window width in a typical DIII-D H-mode discharge.

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Elemental Ferroelectricity and Antiferroelectricity in Group‐V Monolayer

Xiao

Wang

Yang

et al. 2018

Adv Funct Materials

200

125

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Ferroelectricity is usually found in compound materials composed by different elements. Here, based on first-principles calculations, we reveal the first example of spontaneous electrical polarization and ferroelectricity in stable two-dimensional elemental materials: elemental Group-V (As, Sb, and Bi) monolayers. The polarization is due to the spontaneous lattice distortion with atomic layer buckling.Interestingly, for Bi monolayer, apart from the ferroelectric phase, we find that it can also host an antiferroelectric phase. The Curie temperatures of these elemental materials can be higher than room temperature, making them promising for realizing ultrathin ferroelectric devices of broad interest.

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Sun et al. Reply:

Cited by 18 publications

References 8 publications

Quantum topology identification with deep neural networks and quantum walks

Quantum topology identification with deep neural networks and quantum walks

Theory of edge localized mode suppression by static resonant magnetic perturbations in the DIII-D tokamak

Elemental Ferroelectricity and Antiferroelectricity in Group‐V Monolayer

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