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This study demonstrates a breakthrough in quantum simulation by using Rydberg atom chains to directly observe and distinguish energy excitation spectra of conformal field theories at phase transitions. The developed modulation technique allows researchers to manipulate boundary conditions and diagnose previously unknown universality classes, providing a robust experimental method for verifying complex mathematical structures underlying these systems.
Rydberg chain reveals energy ratios of quantum field theories

Researchers observed conformal field theory spectra using a Rydberg chain, a quantum simulator tuned to phase transitions.
Researchers have directly observed energy excitation spectra characteristic of underlying field theories using a variably tuned Rydberg chain at quantum phase transitions. The work recovers universal energy ratios characteristic of the underlying field theories, offering a new method for examining emergent universal properties of systems undergoing these transitions. Specifically, the team distinguished excitation parities with local control, and in a tricritical Ising chain, induced transitions between distinct spectra by changing boundary conditions. This modulation technique also provides a method for diagnosing previously unknown universality classes in future experiments. A ratio of energy levels characteristic of conformal field theory (CFT) was recovered, a result achieved using a chain…
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