Quantum simulation of 2D topological physics in a 1D array of optical cavities

Luo, Xi-Wang; Li, Chuan‐Feng; Xu, Jin‐Shi; Guo, Guang‐Can; Zhou, Zheng-Wei

doi:10.1038/ncomms8704

Cited by 146 publications

(121 citation statements)

References 61 publications

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“…By changing the dynamic modulation phase, the system can change from exhibiting line nodes to Weyl points under inversion or/and time-reversal symmetry breaking. The general idea of Weyl point in 2D system with a synthetic dimension can also be implemented in other geometrical configurations besides honeycomb lattices41 and potentially using other types of resonant systems21.…”

Section: Discussionmentioning

confidence: 99%

“…Therefore, previous works on Weyl points in photonics1112131415, plasmonics1617 and acoustics1819 have complex 3D geometries, which limits the potential for exploring Weyl point physics in on-chip integrated systems. To explore a Weyl point in a planar 2D geometry, one may use a synthetic dimension2021 to simulate the third spatial dimension. The notion of synthetic dimension was previously proposed for superconducting qubits22, cold atoms23 and optics24 based on the idea of increasing local mode connectivity.…”

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confidence: 99%

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Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension

et al. 2016

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Weyl points, as a signature of 3D topological states, have been extensively studied in condensed matter systems. Recently, the physics of Weyl points has also been explored in electromagnetic structures such as photonic crystals and metamaterials. These structures typically have complex three-dimensional geometries, which limits the potential for exploring Weyl point physics in on-chip integrated systems. Here we show that Weyl point physics emerges in a system of two-dimensional arrays of resonators undergoing dynamic modulation of refractive index. In addition, the phase of modulation can be controlled to explore Weyl points under different symmetries. Furthermore, unlike static structures, in this system the non-trivial topology of the Weyl point manifests in terms of surface state arcs in the synthetic space that exhibit one-way frequency conversion. Our system therefore provides a versatile platform to explore and exploit Weyl point physics on chip.

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Section: Discussionmentioning

confidence: 99%

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confidence: 99%

Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension

et al. 2016

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“…The first photonics proposal for a topological model with a synthetic dimension was based on the orbital angular momentum states of light in a cavity 51 . In this proposal, a set of cavity modes with different orbital angular momenta, but the same resonant frequency, are coupled together via spatial light modulators.…”

Section: A Orbital Angular Momentum Modesmentioning

confidence: 99%

Topological quantum matter in synthetic dimensions

Ozawa¹,

2019

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In the field of quantum simulation of condensed matter phenomena by artificially engineering the Hamiltonian of an atomic, molecular or optical system, the concept of 'synthetic dimensions' has recently emerged as a powerful way to emulate phenomena such as topological phases of matter, which are now of great interest across many areas of physics. The main idea of a synthetic dimension is to couple together suitable degrees of freedom, such as a set of internal atomic states, in order to mimic the motion of a particle along an extra spatial dimension. This approach provides a way to engineer lattice Hamiltonians and enables the realisation of higher-dimensional topological models in platforms with lower dimensionality. We give an overview of the recent progress in studying topological matter in synthetic dimensions. After reviewing proposals and realizations in various setups, we discuss future prospects in many-body physics, applications, and topological effects in three or more spatial dimensions.

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“…Apart from polarization (spin), the angular momentum of classical waves also offers freedom to control wave [24,25] and signal propagation [26,27]. Angular momentum has been treated as a synthetic dimension and the nontrivial topologies made possible by this synthetic dimension have been explored [24,25,28].…”

Section: Introductionmentioning

confidence: 99%

Experimental demonstration of angular momentum-dependent topological transport using a transmission line network

et al. 2019

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Novel classical wave phenomenon analogs of the quantum spin Hall effect are mostly based on the construction of pseudo-spins. Here we show that the non-trivial topology of a system can also be realized using orbital angular momentum through a coupling between the angular momentum and the wave vector. The idea is illustrated with a tight-binding model and experimentally demonstrated with a transmission line network. We show experimentally that even a very small network cluster exhibits angular momentum-dependent one-way topological edge states, and their properties can be described in terms of local Chern numbers. Our work provides a new mechanism to realize counterparts of the quantum spin Hall effect in classical waves and may offer insights for other systems.

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Quantum simulation of 2D topological physics in a 1D array of optical cavities

Cited by 146 publications

References 61 publications

Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension

Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension

Topological quantum matter in synthetic dimensions

Experimental demonstration of angular momentum-dependent topological transport using a transmission line network

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