Spin Hamiltonians in the Modulated Momenta of Light
- URL: http://arxiv.org/abs/2405.00484v2
- Date: Sun, 12 May 2024 10:53:46 GMT
- Title: Spin Hamiltonians in the Modulated Momenta of Light
- Authors: Juan Feng, Zengya Li, Luqi Yuan, Erez Hasman, Bo Wang, Xianfeng Chen,
- Abstract summary: Photonic solvers can be used to find the ground states of different spin Hamiltonians.
We establish a real-and-momentum space correspondence of spin Hamiltonians by spatial light transport.
- Score: 2.8268296595247193
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Photonic solvers that are able to find the ground states of different spin Hamiltonians can be used to study many interactive physical systems and combinatorial optimization problems. Here, we establish a real-and-momentum space correspondence of spin Hamiltonians by spatial light transport. The real-space spin interaction is determined by modulating the momentum-space flow of light. This principle is formulated as a generalized Plancherel theorem, allowing us to implement a simple optical simulator that can find the ground states for any displacement-dependent spin interactions. Particularly, we use this principle to reveal the exotic magnetic phase diagram from a J1-J2-J3 model, and we also observe the vortex-mediated Berezinskii-Kosterlitz-Thouless dynamics from the XY model. These experiments exhibit high calculation precision by subtly controlling spin interactions from the momentum space of light, offering a promising scheme to explore novel physical effects.
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