Computational advantage of quantum random sampling

D Hangleiter, J Eisert - Reviews of Modern Physics, 2023 - APS
Quantum random sampling is the leading proposal for demonstrating a computational
advantage of quantum computers over classical computers. Recently the first large-scale …

Tools for quantum simulation with ultracold atoms in optical lattices

F Schäfer, T Fukuhara, S Sugawa, Y Takasu… - Nature Reviews …, 2020 - nature.com
After many years of development of the basic tools, quantum simulation with ultracold atoms
has now reached the level of maturity at which it can be used to investigate complex …

Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator

A Keesling, A Omran, H Levine, H Bernien, H Pichler… - Nature, 2019 - nature.com
Quantum phase transitions (QPTs) involve transformations between different states of matter
that are driven by quantum fluctuations. These fluctuations play a dominant part in the …

Quantum certification and benchmarking

J Eisert, D Hangleiter, N Walk, I Roth… - Nature Reviews …, 2020 - nature.com
With the rapid development of quantum technologies, a pressing need has emerged for a
wide array of tools for the certification and characterization of quantum devices. Such tools …

Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems

C Gogolin, J Eisert - Reports on Progress in Physics, 2016 - iopscience.iop.org
We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

Quantum many-body systems out of equilibrium

J Eisert, M Friesdorf, C Gogolin - Nature Physics, 2015 - nature.com
How do closed quantum many-body systems driven out of equilibrium eventually achieve
equilibration? And how do these systems thermalize, given that they comprise so many …

Critical dynamics of spontaneous symmetry breaking in a homogeneous Bose gas

N Navon, AL Gaunt, RP Smith, Z Hadzibabic - Science, 2015 - science.org
Kibble-Zurek theory models the dynamics of spontaneous symmetry breaking, which plays
an important role in a wide variety of physical contexts, ranging from cosmology to …

Prethermalization and universal dynamics in near-integrable quantum systems

T Langen, T Gasenzer… - Journal of Statistical …, 2016 - iopscience.iop.org
We review the recent progress in the understanding of the relaxation of isolated near-
integrable quantum many-body systems. Focusing on prethermalization and universal …

Coherent and dissipative dynamics at quantum phase transitions

D Rossini, E Vicari - Physics Reports, 2021 - Elsevier
The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

Emergence of coherence via transverse condensation in a uniform quasi-two-dimensional Bose gas

L Chomaz, L Corman, T Bienaimé… - Nature …, 2015 - nature.com
Phase transitions are ubiquitous in our three-dimensional world. By contrast, most
conventional transitions do not occur in infinite uniform low-dimensional systems because of …