Programmable large-scale simulation of bosonic transport in optical synthetic frequency lattices

Abstract

Photonic simulators using synthetic frequency dimensions have enabled flexible experimental analogues of condensed-matter systems, realizing phenomena that are impractical to observe in real-space systems. However, to date such photonic simulators have been limited to small systems suffering from finite-size effects. Here, we present an analog simulator capable of simulating large 2D and 3D lattices, as well as lattices with non-planar connectivity, including a tree lattice that serves as a toy model in quantum gravity. Our demonstration is enabled by the broad bandwidth achievable in photonics, allowing our simulator to realize lattices with over 100,000 lattice sites. We explore these large lattices in a wide range of previously inaccessible regimes by using a novel method to excite arbitrary states. Our work establishes the scalability and flexibility of programmable simulators based on synthetic frequency dimensions in the optical domain. We anticipate that future extensions of this platform will leverage advances in high-bandwidth optoelectronics to support simulations of dynamic, non-equilibrium phases at the scale of millions of lattice sites, and Kerr-frequency-comb technology to simulate models with higher-order interactions, ultimately in regimes and at scales inaccessible to both digital computers and realizable materials.

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Cited by in corpus (18)

• Non-Abelian lattice gauge fields in the photonic synthetic frequency dimension
• A comprehensive review on developments of synthetic dimensions
• Piezoelectric actuation for integrated photonics
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• Quantized topological energy pumping and Weyl points in Floquet synthetic dimensions with a driven-dissipative photonic molecule
• Observation of non-Hermitian antichiral edge currents
• Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions
• Synthetic non-Abelian Electric Fields and Spin-Orbit Coupling in Photonic Synthetic Dimensions
• Quantized Hall drift in a frequency-encoded photonic Chern insulator
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions
• Construction of various time-dependent Hamiltonians on a single photonic chip
• Unconventional edge states in a two-leg ladder
• Creating high-dimensional topological physics using a single ring resonator
• Controlled manipulation of solitons in a recirculating fiber loop using external potentials
• Quantized topological phases beyond square lattices in Floquet synthetic dimensions
• Quantum walk with coherent multiple translations induces fast quantum gate operations
• Digital quantum simulation of bosonic systems and quantum complementarity