Band structure engineering and non-equilibrium dynamics in Floquet topological insulators

MS Rudner, NH Lindner - Nature reviews physics, 2020 - nature.com
Non-equilibrium topological phenomena can be induced in quantum many-body systems
using time-periodic fields (for example, by laser or microwave illumination). This Review …

Many-body physics with ultracold gases

I Bloch, J Dalibard, W Zwerger - Reviews of modern physics, 2008 - APS
This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

Quantum simulations with ultracold quantum gases

I Bloch, J Dalibard, S Nascimbene - Nature Physics, 2012 - nature.com
Ultracold quantum gases offer a unique setting for quantum simulation of interacting many-
body systems. The high degree of controllability, the novel detection possibilities and the …

Non-Abelian anyons and topological quantum computation

C Nayak, SH Simon, A Stern, M Freedman… - Reviews of Modern …, 2008 - APS
Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices

M Aidelsburger, M Atala, M Lohse, JT Barreiro… - Physical review …, 2013 - APS
We demonstrate the experimental implementation of an optical lattice that allows for the
generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms …

Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering

M Bukov, L D'Alessio, A Polkovnikov - Advances in Physics, 2015 - Taylor & Francis
We give a general overview of the high-frequency regime in periodically driven systems and
identify three distinct classes of driving protocols in which the infinite-frequency Floquet …

Extremely high-intensity laser interactions with fundamental<? format?> quantum systems

A Di Piazza, C Müller, KZ Hatsagortsyan… - Reviews of Modern Physics, 2012 - APS
The field of laser-matter interaction traditionally deals with the response of atoms, molecules,
and plasmas to an external light wave. However, the recent sustained technological …

Colloquium: Artificial gauge potentials for neutral atoms

J Dalibard, F Gerbier, G Juzeliūnas, P Öhberg - Reviews of Modern Physics, 2011 - APS
When a neutral atom moves in a properly designed laser field, its center-of-mass motion
may mimic the dynamics of a charged particle in a magnetic field, with the emergence of a …

Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms

M Aidelsburger, M Lohse, C Schweizer, M Atala… - Nature Physics, 2015 - nature.com
Sixty years ago, Karplus and Luttinger pointed out that quantum particles moving on a lattice
could acquire an anomalous transverse velocity in response to a force, providing an …

Realizing the Harper Hamiltonian with laser-assisted tunneling in optical lattices

H Miyake, GA Siviloglou, CJ Kennedy, WC Burton… - Physical review …, 2013 - APS
We experimentally implement the Harper Hamiltonian for neutral particles in optical lattices
using laser-assisted tunneling and a potential energy gradient provided by gravity or …