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Dresden 2017 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 62: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 1

TT 62.1: Talk

Thursday, March 23, 2017, 09:30–09:45, HSZ 304

Proposal for measuring the finite-temperature Drude weight of integrable systemsChristoph Karrasch1, Tomaz Prosen2, and •Fabian Heidrich-Meisner31Dahlem Center for Complex Quantum Systems, FU Berlin, Germany — 2Physics Department, University of Ljubljana, Slovenia — 3Arnold Sommerfeld Center for Theoretical Physics, LMU Munich, Germany

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.

[1] Karrasch, Prosen, Heidrich-Meisner, arXiv:1611.04832

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