Many-body localization in the age of classical computing

P Sierant, M Lewenstein, A Scardicchio… - arXiv preprint arXiv …, 2024 - arxiv.org
Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

Universal behavior beyond multifractality of wave functions at measurement-induced phase transitions

P Sierant, X Turkeshi - Physical Review Letters, 2022 - APS
We investigate the structure of many-body wave functions of 1D quantum circuits with local
measurements employing the participation entropies. The leading term in system size …

Measuring nonstabilizerness via multifractal flatness

X Turkeshi, M Schirò, P Sierant - Physical Review A, 2023 - APS
Universal quantum computing requires nonstabilizer (magic) quantum states. Quantifying
the nonstabilizerness and relating it to other quantum resources is vital for characterizing the …

Diagnosing non-Hermitian many-body localization and quantum chaos via singular value decomposition

F Roccati, F Balducci, R Shir, A Chenu - Physical Review B, 2024 - APS
Strong local disorder in interacting quantum spin chains can turn delocalized eigenmodes
into localized eigenstates, giving rise to many-body localized phases. This is accompanied …

Universality in Anderson localization on random graphs with varying connectivity

P Sierant, M Lewenstein, A Scardicchio - SciPost Physics, 2023 - scipost.org
We perform a thorough and complete analysis of the Anderson localization transition on
several models of random graphs with regular and random connectivity. The unprecedented …

Probing symmetries of quantum many-body systems through gap ratio statistics

O Giraud, N Macé, É Vernier, F Alet - Physical Review X, 2022 - APS
The statistics of gap ratios between consecutive energy levels is a widely used tool—in
particular, in the context of many-body physics—to distinguish between chaotic and …

Statistics of phase space localization measures and quantum chaos in the kicked top model

Q Wang, M Robnik - Physical Review E, 2023 - APS
Quantum chaos plays a significant role in understanding several important questions of
recent theoretical and experimental studies. Here, by focusing on the localization properties …

Classical route to ergodicity and scarring in collective quantum systems

S Sinha, S Ray, S Sinha - Journal of Physics: Condensed Matter, 2024 - iopscience.iop.org
Ergodicity, a fundamental concept in statistical mechanics, is not yet a fully understood
phenomena for closed quantum systems, particularly its connection with the underlying …

Chaos in the three-site Bose-Hubbard model: Classical versus quantum

G Nakerst, M Haque - Physical Review E, 2023 - APS
We consider a quantum many-body system—the Bose-Hubbard system on three sites—
which has a classical limit, and which is neither strongly chaotic nor integrable but rather …

Multifractality in quasienergy space of coherent states as a signature of quantum chaos

Q Wang, M Robnik - Entropy, 2021 - mdpi.com
We present the multifractal analysis of coherent states in kicked top model by expanding
them in the basis of Floquet operator eigenstates. We demonstrate the manifestation of …