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Emergent hydrodynamics in 1d quantum systems

Date: Tuesday, January 28, 2020 11:00 - 12:00
Speaker: Alvise Bastianello (University of Amsterdam)
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series: Physical Sciences Seminar
Host: Maksym Serbyn
Contact: PETZ Caroline

The study of out-of-equilibrium features of many-body closed quantum systems attracted a lot of attention in recent years, stimulating an impressive sharpening of experimental and theoretical techniques.
The one-dimensional world, besides being feasible of experimental engineering, is a rather appealing theoretical lab: integrability allows one to derive exact, non-perturbative, results in strongly correlated systems and it has been understood to give rise to new exotic phases of matter as a result of the long-time dynamics.
The recently introduced Generalized Hydrodynamics (GHD) further boosts our understanding of the subject, allowing one to consider the evolution from weakly-inhomogeneous initial states and study transport problems.
In this talk, I will introduce the basic concepts of integrability and GHD, describing its most recent extensions to include time-dependent and inhomogeneous interactions. I will mainly focus on the 1d interacting Bose gas, emphasizing the power of the method in describing experimental realizations, and on the XXZ spin chain, where bound-state recombination takes place. In the second case, the correct description of the model requires to go beyond standard GHD.
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