We study the operator growth problem and its complexity in the many-body localization
(MBL) system from the Lanczos algorithm perspective. Using the Krylov basis, the operator …

A (2+ 1)-dimensional gapped quantum many-body system can have a topologically
protected energy current at its edge. The magnitude of this current is determined entirely by …

Sign problem in quantum Monte Carlo (QMC) simulation appears to be an extremely hard
yet interesting problem. In this article, we present a pedagogical overview on the origin of …

Arrays of Rydberg atoms constitute a highly tunable, strongly interacting venue for the
pursuit of exotic states of matter. We develop a strategy for accessing a family of …

Determinant quantum Monte Carlo (DQMC) is a powerful numerical technique to study many-
body fermionic systems. In recent years, several classes of sign-free (SF) models have been …

Sign problems in fermion quantum Monte Carlo (QMC) simulation appears to be an
extremely hard problem. Traditional lore passing around for years tells people that when …

Various exotic phenomena emerge in non-equilibrium quantum many-body systems. The
Mpemba effect, denoting the situation where a hot system freezes faster than the colder one …

Progress in understanding symmetry-protected topological (SPT) phases has been greatly
aided by our ability to construct lattice models realizing these states. In contrast, a systematic …

The sign problem is a widespread numerical hurdle preventing us from simulating the
equilibrium behavior of various problems at the forefront of physics. Focusing on an …

Quantum spin liquids are exotic phases of quantum matter especially pertinent to many
modern condensed matter systems. Dirac spin liquids (DSLs) are a class of gapless …