Experimental observation of topological transitions in interacting multi-spin systems

Abstract

Topologically ordered phase has emerged as one of most exciting concepts that not only broadens our understanding of phases of matter, but also has been found to have potential application in fault-tolerant quantum computation. The direct measurement of topological properties, however, is still a challenge especially in interacting quantum system. Here we realize one-dimensional Heisenberg spin chains using nuclear magnetic resonance simulators and observe the interaction-induced topological transitions, where Berry curvature in the parameter space of Hamiltonian is probed by means of dynamical response and then the first Chern number is extracted by integrating the curvature over the closed surface. The utilized experimental method provides a powerful means to explore topological phenomena in quantum systems with many-body interactions.

5 pages (4 figures) + 1 page (3 figures)

References in corpus (10)

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• Quantum Spin Hall Insulator State in HgTe Quantum Wells
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• Observation of Berry's Phase in a Solid State Qubit
• Observation of topological transitions in interacting quantum circuits
• Measuring a topological transition in an artificial spin 1/2 system
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• Even-odd effects in finite Heisenberg spin chains
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Cited by in corpus (10)

• Geometry and non-adiabatic response in quantum and classical systems
• Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
• Observation of the Borromean three-body Förster resonances for three interacting Rb Rydberg atoms
• Optimal experiment design for quantum state tomography
• Coherence of the Borromean three-body Förster resonances in Rydberg atoms
• Controlling NMR spin systems for quantum computation
• Experimental Preparation of Topologically Ordered States via Adiabatic Evolution
• Quantum simulation of Abelian Wu-Yang monopoles in spin-1/2 systems
• Coherent excitation of three-atom entangled states near a two-body Förster resonance
• Topological Transitions in a Kerr Nonlinear Oscillator