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 …

We numerically study both the avalanche instability and many-body resonances in strongly
disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave …

Over a decade of work has culminated in the consensus that one-dimensional systems,
subject to sufficiently large disorder, fail to thermalize and possess an extensive set of local …

We study time dynamics of 1D disordered Heisenberg spin-1/2 chains focusing on a regime
of large system sizes and a long-time evolution. This regime is relevant for observation of …

Optimised Trotter decompositions for classical and quantum computing - IOPscience This
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We have recently shown that the logarithmic growth of the entanglement entropy following a
quantum quench in a many-body localized phase is accompanied by a slow growth of the …

The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …

We study the growth of the number entropy SN in one-dimensional number-conserving
interacting systems with strong disorder, which are believed to display many-body …

The article reviews the physics of Anderson localization on random regular graphs (RRG)
and its connections to many-body localization (MBL) in disordered interacting systems …

In quantum chaotic systems, the spectral form factor (SFF), defined as the Fourier transform
of two-level spectral correlation function, is known to follow random matrix theory (RMT) …