Condensed Matter Theory Seminar | June 20, 14:00

Thermalization, strong Hilbert space fragmentation and Irreducible strings

Sreemayee Aditya

The advent of quantum simulators has unlocked the exploration of multiple novel ergodicity-breaking mechanisms, which furnish powerful tools for storing and manipulating quantum information. This exploration recently led us to a new ergodicity-breaking mechanism, dubbed Hilbert space fragmentation. However, the analytical understanding of such a fragmented Hilbert space remains quite challenging as it does not follow the conventional symmetry structures. In this work, we explore this mechanism in a one-dimensional correlated hopping model utilizing an analytical construct called irreducible strings. This construct helps us to unveil various attributes of this fragmented Hilbert space. Additionally, we will discuss a novel thermalization property of this fragmented quantum system, termed “subspace-restricted thermalization”, which impacts the static and dynamic measures of thermalization studied in this model.


University of Cologne
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Contact: Xhek Turkeshi