This presentation will provide a concise introduction to the concepts of ergodicity and non-ergodicity in closed quantum many-body systems. Subsequently, delving into the phenomenon of many-body localization (MBL), which hinders thermalization in the presence of strong disorder. In particular highlighting the framework of local integrals of motion (LIOM) [1] in this context.
As a counter to standard examples of MBL, we will introduce a model with random bonds, relevant for Rydberg array experiments. By employing real-space renormalization group for exited states [2,3], we capture unique features of the model that cannot be described within the standard LIOM framework [4].
Further, we will investigate the effects of dimerization in a simple bond-disordered system, that leads to excited states with non-trivial topology.
[1] Abanin, D. A., Altman, E., Bloch, I., & Serbyn, M. (2019). Colloquium: Many-body localization, thermalization, and entanglement. Reviews of Modern Physics, 91, 021001.
[2] Dasgupta, C., & Ma, S. K. (1980). Low-temperature properties of the random Heisenberg antiferromagnetic chain. Physical review b, 22(3), 1305.
[3] Pekker, D., Refael, G., Altman, E., Demler, E., & Oganesyan, V. (2014). Hilbert-glass transition: New universality of temperature-tuned many-body dynamical quantum criticality. Physical review x, 4(1), 011052.
[4] Aramthottil, A. S., Sierant, P., Lewenstein, M., & Zakrzewski, J. (2024). Phenomenology of many-body localization in bond-disordered spin chains. Physical Review Letters, 133(19), 196302.
Zoom Link: https://icts-res-in.zoom.us/j/93030335738?pwd=0Nffbf21ypNbrgFvLmCwuCpzUZuFDU.1
Meeting ID: 930 3033 5738
Passcode: 202030