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Karrasch, C.; Prosen, T. and Heidrich-Meisner, F. (2017): Proposal for measuring the finite-temperature Drude weight of integrable systems. In: Physical Review B, Vol. 95, No. 6, 60406

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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 of ballistic transport via local quantumquench experiments in fermionic quantum-gasmicroscopes. Such an experimentwould 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.

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