Department of Mathematics

Mathematical Physics and Gauge Theory

  •   Localization in the droplet spectrum of the random XXZ spin chain
  •  09/28/2017
  •  11:00 AM - 12:00 PM
  •  C304 Wells Hall
  •  Günter Stolz, University of Alabama Birmingham

The XXZ quantum spin chain in random exterior field is one of the models where numerics indicate the existence of a many-body localization transition. We will discuss recent joint work with Alexander Elgart and Abel Klein, which provides rigorous results on the localization side of the expected transition. We show several of the accepted manifestations of MBL at the bottom of the spectrum for the random XXZ chain in the Ising phase. In this regime spins form quasi-particles in the form of droplets (of, say, down-spins in a sea of up-spins), which become fully localized under the addition of a random field.

 

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Department of Mathematics
Michigan State University
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