Topological quantum matter in synthetic dimensions
arXiv:1910.00376 · doi:10.1038/s42254-019-0045-3
Abstract
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.
13 pages, 4 figures; accepted version of the review published on April 1st, 2019
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- Topological acoustics
- Topological photonic crystals: physics, designs and applications
- Light-induced emergent phenomena in 2D materials and topological materials
- Active topological photonics
- Experimental band structure spectroscopy along a synthetic dimension
- Coherent control of quantum topological states of light in Fock-state lattices
- Mode-Locked Topological Insulator Laser Utilizing Synthetic Dimensions
- Topological phases in ring resonators: recent progress and future prospects
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- Meissner effect in Fock space
- Coherent spin mixing via spin-orbit coupling in Bose gases
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- Nonlinear topological symmetry protection in a dissipative system
- Nonlocality-induced surface localization in Bose-Einstein condensates of light