Construction of various time-dependent Hamiltonians on a single photonic chip
arXiv:2408.00287 · doi:10.1103/PhysRevLett.134.163802
Abstract
Integrated photonics provides an important platform for simulating physical models with high-performance chip-scale devices, where the lattice size and the time-dependence of a model are key ingredients for further enriching the functionality of a photonic chip. Here, we propose and demonstrate the construction of various time-dependent Hamiltonian models using a single microresonator on thin-film lithium niobate chip. Such an integrated microresonator holds high quality factor to 10^6, and supports the construction of the synthetic frequency lattice with effective lattice sites up to 152 under the electro-optic modulation. By further applying a bichromatic modulation composed of two radio-frequency signals oppositely detuned from the resonant frequency in the microresonator, we build different time-dependent Hamiltonians with the time-varying nearest-neighbor coupling strength in synthetic frequency lattice. We measure the temporal features from capturing the dynamic band structures of the lattice and demonstrate a variety of time-dependent synthetic lattice models by engineering the driven pattern of the modulation, highlighting great flexibility of the microresonator. Our work shows a photonic chip for simulating versatile time-dependent Hamiltonians, which pushes forward quantum simulations in integrated photonics with great experimental tunability and reconfigurability.
14 pages, 5 figures
References in corpus (22)
- Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
- Quantum circuits with many photons on a programmable nanophotonic chip
- Observation of coherent perfect absorption at an exceptional point
- Nonlinear control of PT-symmetry and non-Hermitian topological states
- Observation of photon-assisted tunneling in optical lattices
- Experimental band structure spectroscopy along a synthetic dimension
- Photonic Floquet topological insulators in a fractal lattice
- Sub-1 Volt and High-Bandwidth Visible to Near-Infrared Electro-Optic Modulators
- Identifying optimal cycles in quantum thermal machines with reinforcement-learning
- Fully on-chip photonic turnkey quantum source for entangled qubit/qudit state generation
- Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
- Quantum Walk Comb in a Fast Gain Laser
- Efficient frequency conversion in a degenerate microresonator
- Programmable large-scale simulation of bosonic transport in optical synthetic frequency lattices
- Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
- Programmable high-dimensional Hamiltonian in a photonic waveguide array
- Ultralow-loss integrated photonics enables bright, narrow-band, photon-pair sources
- Mirror-induced reflection in the frequency domain
- Probing rotated Weyl physics on nonlinear lithium niobate-on-insulator chips
- Observation of non-Hermitian antichiral edge currents
- Visual observation of optical Floquet-Bloch oscillations
- Enhanced Frequency Conversion in Parity-Time Symmetry Line