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Special Seminar: Quantum transport in one dimension: from integrability to many-body localization

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Joel E. Moore, UC Berkeley and LBNL
When
06 December 2013 from 11:00 AM to 12:00 PM
Where
339 Davey Laboratory
Contact Name
Contact Phone
(814)865-6871
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Recent advances in analytical theory and numerical methods enable some long-standing questions about transport in one dimension to be answered; these questions are closely related to transport experiments in quasi-1D compounds.  The spinless fermion chain with nearest-neighbor interactions at half-filling, or equivalently the XXZ model in zero magnetic field, is an example of an integrable system in which no conventional conserved quantity forces dissipationless transport (Drude weight); we show that there is nevertheless a Drude weight and that at some points its contribution is from a new type of conserved quantity recently constructed by Prosen.  Adding an integrability-breaking perturbation leads to a scaling theory of conductivity at low temperature.  Adding disorder, we study the question of how Anderson localization is modified by interactions when the system remains fully quantum coherent ("many-body localization").  We find that even weak interactions are a singular perturbation on some quantities: entanglement grows slowly but without limit, suggesting that dynamics in the possible many-body localized phase are glass-like.

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