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 …

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

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

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

Quantum simulators are controllable quantum systems that can be used to simulate other
quantum systems. Being able to tackle problems that are intractable on classical computers …

When attempting to understand the role of disorder in condensed-matter physics, we face
considerable experimental and theoretical difficulties, and many questions are still open …

We show that the expansion of an initially confined interacting 1D Bose-Einstein condensate
can exhibit Anderson localization in a weak random potential with correlation length σ R. For …

Noise in a quantum system is fundamentally governed by the statistics and the many-body
state of the underlying particles,,,. The correlated noise,, observed for bosonic particles (for …

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 …

Many-body localization is a striking mechanism that prevents interacting quantum systems
from thermalizing. The absence of thermalization behavior manifests itself, for example, in a …