This is a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-
body systems without quasiparticle excitations, and its connections to various theoretical …

Many-body localization (MBL) describes a class of systems that do not approach thermal
equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form …

We present exact results for partition functions of Jackiw-Teitelboim (JT) gravity on two-
dimensional surfaces of arbitrary genus with an arbitrary number of boundaries. The …

Unitary circuits subject to repeated projective measurements can undergo an entanglement
phase transition (EPT) as a function of the measurement rate. This transition is generally …

Characterizing states of matter through the lens of their ergodic properties is a fascinating
new direction of research. In the quantum realm, the many-body localization (MBL) was …

In finite entropy systems, real-time partition functions do not decay to zero at late time.
Instead, assuming random matrix universality, suitable averages exhibit a growing" ramp" …

Spectral statistics of disordered systems encode Thouless and Heisenberg timescales,
whose ratio determines whether the system is chaotic or localized. We show that the scaling …

The most general and versatile defining feature of quantum chaotic systems is that they
possess an energy spectrum with correlations universally described by random matrix …

A bstract Considering the large q expansion of the Sachdev-Ye-Kitaev (SYK) model in the
two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher …

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) …