Thouless pumping and topology

R Citro, M Aidelsburger - Nature Reviews Physics, 2023 - nature.com
Thouless pumping provides one of the simplest manifestations of topology in quantum
systems and has attracted a lot of recent interest, both theoretically and experimentally …

Colloquium: Strong-field phenomena in periodic systems

SY Kruchinin, F Krausz, VS Yakovlev - Reviews of Modern Physics, 2018 - APS
The advent of visible-infrared laser pulses carrying a substantial fraction of their energy in a
single field oscillation cycle has opened a new era in the experimental investigation of …

Colloquium: Nonequilibrium dynamics of closed interacting quantum systems

A Polkovnikov, K Sengupta, A Silva… - Reviews of Modern Physics, 2011 - APS
This Colloquium gives an overview of recent theoretical and experimental progress in the
area of nonequilibrium dynamics of isolated quantum systems. There is particularly a focus …

Geometry and non-adiabatic response in quantum and classical systems

M Kolodrubetz, D Sels, P Mehta, A Polkovnikov - Physics Reports, 2017 - Elsevier
In these lecture notes, partly based on a course taught at the Karpacz Winter School in
March 2014, we explore the close connections between non-adiabatic response of a system …

Quantum adiabatic Markovian master equations

T Albash, S Boixo, DA Lidar, P Zanardi - New Journal of Physics, 2012 - iopscience.iop.org
We develop from first principles Markovian master equations suited for studying the time
evolution of a system evolving adiabatically while coupled weakly to a thermal bath. We …

Non-Hermitian Floquet topological matter—a review

L Zhou, DJ Zhang - Entropy, 2023 - mdpi.com
The past few years have witnessed a surge of interest in non-Hermitian Floquet topological
matter due to its exotic properties resulting from the interplay between driving fields and non …

Quench dynamics near a quantum critical point

C De Grandi, V Gritsev, A Polkovnikov - Physical Review B—Condensed Matter …, 2010 - APS
We study the dynamical response of a system to a sudden change of the tuning parameter λ
starting (or ending) at the quantum critical point. In particular, we analyze the scaling of the …

Low-frequency and Moiré–Floquet engineering: A review

M Rodriguez-Vega, M Vogl, GA Fiete - Annals of Physics, 2021 - Elsevier
We review recent work on low-frequency Floquet engineering and its application to quantum
materials driven by light, focusing on van der Waals systems hosting Moiré superlattices …

Adiabatic perturbation theory and geometry of periodically-driven systems

P Weinberg, M Bukov, L D'Alessio, A Polkovnikov… - Physics Reports, 2017 - Elsevier
We give a systematic review of the adiabatic theorem and the leading non-adiabatic
corrections in periodically-driven (Floquet) systems. These corrections have a two-fold …

Counterdiabaticity and the quantum approximate optimization algorithm

J Wurtz, PJ Love - Quantum, 2022 - quantum-journal.org
The quantum approximate optimization algorithm (QAOA) is a near-term hybrid algorithm
intended to solve combinatorial optimization problems, such as MaxCut. QAOA can be made …