Finite-temperature Rydberg arrays: quantum phases and entanglement characterization

• URL: http://arxiv.org/abs/2405.18477v2
• Date: Mon, 9 Sep 2024 15:00:43 GMT
• Title: Finite-temperature Rydberg arrays: quantum phases and entanglement characterization
• Authors: Nora Reinić, Daniel Jaschke, Darvin Wanisch, Pietro Silvi, Simone Montangero,
• Abstract summary: We develop a network-based numerical toolbox for constructing the quantum many-body states at thermal equilibrium. We numerically confirm that a conformal scaling law of entanglement extends from the zero-temperature critical points into the low-temperature regime.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: As one of the most prominent platforms for analog quantum simulators, Rydberg atom arrays are a promising tool for exploring quantum phases and transitions. While the ground state properties of one-dimensional Rydberg systems are already thoroughly examined, we extend the analysis towards the finite-temperature scenario. For this purpose, we develop a tensor network-based numerical toolbox for constructing the quantum many-body states at thermal equilibrium, which we exploit to probe classical correlations as well as entanglement monotones. We clearly observe ordered phases continuously shrinking due to thermal fluctuations at finite system sizes. Moreover, by examining the entanglement of formation and entanglement negativity of a half-system bipartition, we numerically confirm that a conformal scaling law of entanglement extends from the zero-temperature critical points into the low-temperature regime.

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