Synthetic dimension in photonics

Yuan, Luqi; Lin, Qiang; Xiao, Meng; Fan, Shanhui

doi:10.1364/optica.5.001396

Cited by 404 publications

(272 citation statements)

References 125 publications

(149 reference statements)

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“…The other main platform in which synthetic dimensions have been actively studied is photonics 85 . In this field, the simulation of condensed matter phenomena is a rapidly-growing research direction 86 , with synthetic dimensions providing new routes towards realising topological lattice models and related possible applications.…”

Section: Synthetic Dimensions In Photonicsmentioning

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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Section: Synthetic Dimensions In Photonicsmentioning

confidence: 99%

Topological quantum matter in synthetic dimensions

Ozawa¹,

2019

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“…An alternative way to overcome this challenge, which we will explore in this work, is to use a synthetic dimension. Synthetic dimensions are widely used in photonic materials and ultracold atom systems to increase the dimensionality of the lattice. A synthetic dimension employs a non‐spatial discrete degree of freedom of the system (often the frequency mode number in photonic arrays and the different atomic hyperfine levels in ultracold atoms) to increase the number of dimensions by one.…”

Section: Creutz Laddermentioning

confidence: 99%

“…This is especially convenient because synthetic gauge fields and nonlocal hopping amplitudes are easier to implement in synthetic space than real space. [49,69] Three nonlocal hoppings would be necessary per unit cell (two for the rungless ladder), represented with dotted lines in Figure 6b. It is worth noting that, if the synthetic dimension is periodic, no nonlocal hoppings are needed.…”

Section: Bidimensional Model and Photonic Implementationmentioning

confidence: 99%

Topology and Interactions in the Photonic Creutz and Creutz‐Hubbard Ladders

2019

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The latest advances in the field of photonics have enabled the simulation of an increasing number of quantum models in photonic systems, turning them into an important tool for realizing exotic quantum phenomena. In this paper, different ways in which these systems can be used to study the interplay between flat band dynamics, topology, and interactions in a well‐known quasi‐1D topological insulator—the Creutz ladder—are suggested. First, a simple experimental protocol is proposed to observe the Aharonov–Bohm localization in the noninteracting system, and the different experimental setups that might be used for this are reviewed. The inclusion of a repulsive Hubbard‐type interaction term, which can give rise to repulsively bound pairs termed doublons, is then considered. The dynamics of these quasiparticles are studied for different points of the phase diagram, including a regime in which pairs are localized and particles are free to move. Finally, a scheme for the photonic implementation of a two‐particle bosonic Creutz‐Hubbard model is presented.

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“…Therefore, 1D atomic arrays with the synthetic momentum dimension manifests important topological features associated with 2D systems. Systems with synthetic dimensions simplify experimental design and enable capabilities of manipulating atomic quantum states or photons along the synthetic dimension [31][32][33][34][35][36]. By changing the periodicity of the magnetic field, we show that the 1D atomic arrays exhibit a butterfly-like spectrum, which has not been discussed in the 2D atomic arrays under a uniform magnetic field [13,28].…”

mentioning

confidence: 99%

“…By applying the magnetic field with different spatial shapes along the y direction, one has the control of parameters b and φ. Here φ provides an additional degree of freedom to our system serving the purpose of the synthetic dimension, so the system can be explored by exploiting the parameter-dependency of the Hamiltonian [31,32]. In such a synthetic space, b gives the effective magnetic flux while φ denotes a synthetic momentum dimension (reciprocal to a virtual spatial dimension) [38,40].…”

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confidence: 99%

Tunable super- and subradiant boundary states in one-dimensional atomic arrays

et al. 2019

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Single-photon super-and subradiance are important for the quantum memory and quantum information. We investigate one-dimensional atomic arrays under the spatially periodic magnetic field with a tunable phase, which provides a distinctive physics aspect of revealing exotic twodimensional topological phenomena with a synthetic dimension. A butterfly-like nontrivial bandstructure associated with the non-Hermitian physics involving strong long-range interactions has been discovered. It leads to pairs of topologically-protected edge states, which exhibit the robust super-or subradiance behavior, localized at the boundaries of the atomic arrays. This work opens an avenue of exploring an interacting quantum optical platform with synthetic dimensions pointing to potential implications for quantum sensing as well as the super-resolution imaging.

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Synthetic dimension in photonics

Cited by 404 publications

References 125 publications

Topological quantum matter in synthetic dimensions

Topological quantum matter in synthetic dimensions

Topology and Interactions in the Photonic Creutz and Creutz‐Hubbard Ladders

Tunable super- and subradiant boundary states in one-dimensional atomic arrays

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