Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices

Ozawa, Tomoki; Carusotto, Iacopo

doi:10.1103/physrevlett.118.013601

Cited by 51 publications

(41 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Indeed, one of the earliest proposals outside of cold atoms was for a synthetic dimension in optomechanics, consisting of two or three lattice sites made of photon and phonon degrees of freedom 98,99 . Another proposal is closely related to the schemes using the frequency modes of a ring resonator 54,55 , with the angular coordinate within the ring being used as a synthetic dimension 56 . This scheme has unique features: the synthetic dimension is continuous rather than discrete, and inter-particle interactions become local even along the synthetic dimension, as we discuss below.…”

Section: E Other Methodsmentioning

confidence: 99%

Topological quantum matter in synthetic dimensions

Ozawa¹,

2019

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: E Other Methodsmentioning

confidence: 99%

Topological quantum matter in synthetic dimensions

Ozawa¹,

2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…This system also provides a novel manifestation of Weyl point physics in terms of a surface state in the synthetic space that exhibits one-way frequency conversion. More generally, in the context of topological photonics252627282930313233343536373839, this work points to the significant richness in using dynamic refractive index modulation to achieve novel topological effects.…”

mentioning

confidence: 87%

“…The two spatial dimensions and one synthetic frequency dimension together form a 3D space. Dynamic modulation of the refractive index leads to effective coupling of modes in the synthetic dimension2526272829. We show that proper design of the modulation leads to Weyl points in the synthetic space.…”

mentioning

confidence: 87%

“…The notion of synthetic dimension was previously proposed for superconducting qubits22, cold atoms23 and optics24 based on the idea of increasing local mode connectivity. One can also form the synthetic dimension using the modes of a ring resonator at different frequencies252627. The size of the synthetic dimension, which corresponds to the number of modes in each individual ring, can be rather large without increasing the system complexity.…”

mentioning

confidence: 99%

See 1 more Smart Citation

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

et al. 2016

View full text Add to dashboard Cite

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.

show abstract

“…They have a large bandwidth and no restriction on the working frequency compared with the atomic-ensemble-based memory29. The proposed route will not only motivate other novel applications and devices based on the OAM lattices, but also open an avenue for engineering all-optical photonic devices utilizing other internal degrees of freedom (for example, frequency and so on) as synthetic-lattice dimensions303132.…”

mentioning

confidence: 95%

Synthetic-lattice enabled all-optical devices based on orbital angular momentum of light

Luo

Zhou

et al. 2017

Nat Commun

View full text Add to dashboard Cite

All-optical photonic devices are crucial for many important photonic technologies and applications, ranging from optical communication to quantum information processing. Conventional design of all-optical devices is based on photon propagation and interference in real space, which may rely on large numbers of optical elements, and the requirement of precise control makes this approach challenging. Here we propose an unconventional route for engineering all-optical devices using the photon’s internal degrees of freedom, which form photonic crystals in such synthetic dimensions for photon propagation and interference. We demonstrate this design concept by showing how important optical devices such as quantum memory and optical filters can be realized using synthetic orbital angular momentum (OAM) lattices in degenerate cavities. The design route utilizing synthetic photonic lattices may significantly reduce the requirement for numerous optical elements and their fine tuning in conventional design, paving the way for realistic all-optical photonic devices with novel functionalities.

show abstract

Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices

Cited by 51 publications

References 33 publications

Topological quantum matter in synthetic dimensions

Topological quantum matter in synthetic dimensions

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

Synthetic-lattice enabled all-optical devices based on orbital angular momentum of light

Contact Info

Product

Resources

About