Research

One of my long-standing research interests lies within the realm of integrability. Integrable models of statistical physics are in principle exactly solvable, due to abundance of symmetries. I am interested in how such models emerge from the basic constituents of the underlying symmetry group. Can one use these elementary objects to construct integrable quantum circuits fitting the architecture of modern quantum simulators?

[1] M. Vanicat, LZ, T. Prosen, PRL 121, 030606 (2018)
[2] LZ, M. Ljubotina, Ž. Krajnik, E. Ilievski, T. Prosen, PRX Quantum 5, 030356 (2024)
[3] M. Žnidarič, U. Duh, LZ, arXiv:2410.06760

Quantum coherence is vital for the functioning of quantum devices. It faces an adversary in the form of thermalization, and it is thus crucial to understand mechanisms of nonergodicity. My research concerns exotic nonergodic phenomena such as Hilbert space fragmentation, fine-tuned time-crystalline behaviour, glassy dynamics, and large-scale effects of localized perturbations. Also here, I am especially interested in exact solutions that could shed light on the emergence of such phenomena.

[1] M. Medenjak, T. Prosen, LZ, SciPost Phys. 9, 003 (2020)

[2] LZ, Maurizio Fagotti, SciPost Phys. Core 4, 010 (2021)

[3] K. Bidzhiev, M. Fagotti, LZ, PRL 128, 130603 (2022)

[4] LZ,  J. P.  Garrahan,  PRB 108, L100304 (2023)

How do transport properties emerge from the microscopic dynamics in 1D quantum materials? Can one predict transport universality classes from the knowledge of such dynamics? One of my aims is to answer such questions by employing the principles of hydrodynamics and leveraging exact solutions of quantum spin chains coupled to reservoirs. Such endeavour is essential in devising novel quantum devices that could enhance modern quantum simulators.

[1] M. Ljubotina, LZ, T. Prosen, PRL 122, 150605 (2019)
[2] V. Popkov, T. Prosen, LZ, PRL 124, 160403 (2020)
[3] LZ, K. Bidzhiev, M. Fagotti, SciPost Phys. 10, 099 (2021)
[4] LZ, M. Ljubotina, Ž. Krajnik, E. Ilievski, T. Prosen, PRX Quantum 5, 030356 (2024)