Proposal for measuring the finite-temperature Drude weight of integrable systems
Abstract
Integrable models such as the spin-1/2 Heisenberg chain, the Lieb-Liniger or the one-dimensional Hubbard model are known to avoid thermalization, which was also demonstrated in several quantum-quench experiments. Another dramatic consequence of integrability is the zero-frequency anomaly in transport coefficients, which results in ballistic finite-temperature transport, despite the presence of strong interactions. While this aspect of nonergodic dynamics has been known for a long time, there has so far not been any unambiguous experimental realization thereof. We make a concrete proposal for the observation ballistic transport via local quantum quench experiments in fermionic quantum-gas microscopes. Such an experiment would also unveil the coexistence of ballistic and diffusive transport channels in one and the same system and provide a means of measuring finite-temperature Drude weights. The connection between local quenches and linear-response functions is established via time-dependent Einstein relations.
Keywords
Cite
@article{arxiv.1611.04832,
title = {Proposal for measuring the finite-temperature Drude weight of integrable systems},
author = {C. Karrasch and T. Prosen and F. Heidrich-Meisner},
journal= {arXiv preprint arXiv:1611.04832},
year = {2017}
}