Colloquium: Atomic quantum gases in periodically driven optical lattices

A Eckardt - Reviews of Modern Physics, 2017 - APS
Time-periodic forcing in the form of coherent radiation is a standard tool for the coherent
manipulation of small quantum systems like single atoms. In the last years, periodic driving …

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 …

Light-induced gauge fields for ultracold atoms

N Goldman, G Juzeliūnas, P Öhberg… - Reports on Progress in …, 2014 - iopscience.iop.org
Gauge fields are central in our modern understanding of physics at all scales. At the highest
energy scales known, the microscopic universe is governed by particles interacting with …

Nonequilibrium boundary-driven quantum systems: Models, methods, and properties

GT Landi, D Poletti, G Schaller - Reviews of Modern Physics, 2022 - APS
Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

Floquet states in open quantum systems

T Mori - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
In Floquet engineering, periodic driving is used to realize novel phases of matter that are
inaccessible in thermal equilibrium. For this purpose, the Floquet theory provides us a recipe …

Thermodynamic geometry of microscopic heat engines

K Brandner, K Saito - Physical review letters, 2020 - APS
We develop a general framework to describe the thermodynamics of microscopic heat
engines driven by arbitrary periodic temperature variations and modulations of a mechanical …

Time crystals protected by floquet dynamical symmetry in hubbard models

K Chinzei, TN Ikeda - Physical Review Letters, 2020 - APS
We investigate an unconventional symmetry in time-periodically driven systems, the Floquet
dynamical symmetry (FDS). Unlike the usual symmetries, the FDS gives symmetry sectors …

Master equations and the theory of stochastic path integrals

MF Weber, E Frey - Reports on Progress in Physics, 2017 - iopscience.iop.org
This review provides a pedagogic and self-contained introduction to master equations and
to their representation by path integrals. Since the 1930s, master equations have served as …

Fate of a discrete time crystal in an open system

A Lazarides, R Moessner - Physical Review B, 2017 - APS
Following the recent realization that periodically driven quantum matter can support new
types of spatiotemporal order, now known as discrete time crystals (DTCs), we consider the …

General description for nonequilibrium steady states in periodically driven dissipative quantum systems

TN Ikeda, M Sato - Science advances, 2020 - science.org
Laser technology has developed and accelerated photo-induced nonequilibrium physics,
from both the scientific and engineering viewpoints. Floquet engineering, ie, controlling …