Special Seminar: Quantum transport in one dimension: from integrability to manybody localization
Main Content
 When
 06 December 2013 from 11:00 AM to 12:00 PM
 Where
 339 Davey Laboratory
 Contact Name
 Nate Gemelke
 Contact Phone
 (814)8656871
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Recent advances in analytical theory and numerical methods enable some longstanding questions about transport in one dimension to be answered; these questions are closely related to transport experiments in quasi1D compounds. The spinless fermion chain with nearestneighbor interactions at halffilling, 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 integrabilitybreaking 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 ("manybody 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 manybody localized phase are glasslike.