Exact solution and Luttinger liquid behavior of the quantum 1D hard rod model

• URL: http://arxiv.org/abs/2505.20376v1
• Date: Mon, 26 May 2025 15:09:17 GMT
• Title: Exact solution and Luttinger liquid behavior of the quantum 1D hard rod model
• Authors: Shengjie Yu, Zhaoxuan Zhu, Laurent Sanchez-Palencia,
• Abstract summary: We show that the hard rod model exhibits Luttinger liquid behavior across a wide range of parameters, at zero and finite temperature, as unveiled by correlation functions.<n>This work provides a comprehensive framework for understanding strongly correlated regimes in dilute 1D systems, with applications to quantum wires, spin chains, and ultracold atoms.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The quantum hard rod model, a one-dimensional extension of the Lieb-Liniger model, is exactly solved using an adapted Bethe ansatz. Our solution, benchmarked against path-integral quantum Monte Carlo calculations, reveals significant corrections to the excitation spectrum and thermodynamic properties, previously overlooked by the standard excluded-volume approach. We also show that the hard rod model exhibits Luttinger liquid behavior across a wide range of parameters, at zero and finite temperature, as unveiled by correlation functions. This work provides a comprehensive framework for understanding strongly correlated regimes in dilute 1D systems, with applications to quantum wires, spin chains, and ultracold atoms.

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