vix.ing · top · new · best · stats · spec

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

2025/05/26 by Yu, Shengjie, Zhu, Zhaoxuan, Sanchez-Palencia, Laurent · 1 citation
#FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2505.20376

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.

Citations

Cited by

Related