This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

Simulating quantum mechanics is known to be a difficult computational problem, especially
when dealing with large systems. However, this difficulty may be overcome by using some …

The disorder systems host three types of fundamental quantum states, known as the
extended, localized, and critical states, of which the critical states remain being much less …

A fundamental assumption in statistical physics is that generic closed quantum many-body
systems thermalize under their own dynamics. Recently, the emergence of many-body …

The mobility edges (MEs) in energy that separate extended and localized states are a
central concept in understanding the localization physics. In one-dimensional (1D) …

A single-particle mobility edge (SPME) marks a critical energy separating extended from
localized states in a quantum system. In one-dimensional systems with uncorrelated …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

Thermalizing quantum systems are conventionally described by statistical mechanics at
equilibrium. However, not all systems fall into this category, with many-body localization …

Considering the ground state of a quantum spin model as the initial state of the quantum
battery, we show that both ordered and disordered interaction strengths play a crucial role in …