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Dynamical quantum phase transitions (DQPTs) are characterized by nonanalytic behaviors of physical observables as functions of time. When a system is subject to time-periodic modulations, the nonanalytic signatures of its observables could…

Quantum Physics · Physics 2021-07-02 Longwen Zhou , Qianqian Du

Non-equilibrium steady states are created when a periodically driven quantum system is also incoherently interacting with an environment -- as it is the case in most realistic situations. The notion of Floquet engineering refers to the…

Materials Science · Physics 2023-07-12 Alberto Castro , Shunsuke A. Sato

Floquet driven systems represent an extremely interesting arena to study out-of-equilibrium phenomena. For instance, they provide realizations of discrete time crystals, where the discrete time translation symmetry of the periodic…

Quantum Physics · Physics 2022-04-25 J. R. M. de Nova , F. Sols

Periodic driving enables the engineering of complex quantum matter, yet in interacting systems it generically leads to energy absorption, which limits the lifetime of the engineered states. To address this challenge, dynamical freezing has…

Quantum Physics · Physics 2026-04-28 Madhumita Sarkar , Ben Zindorf , Bhaskar Mukherjee , Sougato Bose , Roopayan Ghosh

A cornerstone assumption that most literature on discrete time crystals has relied on is that homogeneous Floquet systems generally heat to a featureless infinite temperature state, an expectation that motivated researchers in the field to…

Disordered Systems and Neural Networks · Physics 2021-01-04 Andrea Pizzi , Daniel Malz , Giuseppe De Tomasi , Johannes Knolle , Andreas Nunnenkamp

Time-periodic (Floquet) driving is a powerful way to control the dynamics of complex systems, which can be used to induce a plethora of new physical phenomena. However, when applied to many-body systems, Floquet driving can also cause…

Statistical Mechanics · Physics 2023-05-30 Wen Wei Ho , Takashi Mori , Dmitry A. Abanin , Emanuele G. Dalla Torre

Conventional wisdom suggests that the long time behavior of isolated interacting periodically driven (Floquet) systems is a featureless maximal entropy state characterized by an infinite temperature. Efforts to thwart this uninteresting…

Quantum Gases · Physics 2018-02-07 Karthik I. Seetharam , Paraj Titum , Michael Kolodrubetz , Gil Refael

Prethermal discrete time crystals (PDTCs), an emergent non-equilibrium phase of matter, have been studied in two- and higher-dimensional lattices with nearest-neighbor (NN) interactions and one-dimensional (1D) lattices with long-range…

Quantum Physics · Physics 2025-10-13 Zhuo-Yi Li , Yu-Ran Zhang

Periodic driving is used to steer physical systems to unique stationary states or nonequilibrium steady states (NESS), producing enhanced properties inaccessible to non-driven systems. For open quantum systems, characterizing the NESS is…

Quantum Physics · Physics 2026-01-13 Milan Šindelka , David Gelbwaser-Klimovsky

We show how a finite number of conservation laws can globally `shatter' Hilbert space into exponentially many dynamically disconnected subsectors, leading to an unexpected dynamics with features reminiscent of both many body localization…

Statistical Mechanics · Physics 2020-05-19 Vedika Khemani , Michael Hermele , Rahul M. Nandkishore

We introduce and study the discrete-time version of the Quantum East model, an interacting quantum spin chain inspired by simple kinetically constrained models of classical glasses. Previous work has established that its continuous-time…

Statistical Mechanics · Physics 2024-02-27 Bruno Bertini , Pavel Kos , Tomaz Prosen

We identify several phases of thermalization that describe regimes of behavior in isolated, periodically driven (Floquet), mesoscopic quantum chaotic systems. We also identify a new Floquet thermal ensemble -- the ladder ensemble -- that is…

Statistical Mechanics · Physics 2023-11-21 Alan Morningstar , David A. Huse , Vedika Khemani

Discrete time crystals are a recently proposed and experimentally observed out-of-equilibrium dynamical phase of Floquet systems, where the stroboscopic evolution of a local observable repeats itself at an integer multiple of the driving…

Statistical Mechanics · Physics 2018-01-29 Zongping Gong , Ryusuke Hamazaki , Masahito Ueda

Strong light-matter interactions can create non-equilibrium materials with on-demand novel functionalities. For periodically driven solids, the Floquet theorem provides the natural states to characterize the physical properties of these…

Optics · Physics 2025-10-30 Vishal Tiwari , Roman Korol , Ignacio Franco

Periodically driven quantum systems suffer from heating via resonant excitation. While such Floquet heating guides a generic isolated system towards the infinite-temperature state, a driven open system, coupled to a thermal bath, will…

Quantum Gases · Physics 2023-02-23 Alexander Schnell , Ling-Na Wu , Artur Widera , André Eckardt

Ergodic quantum many-body systems evolving under unitary time dynamics typically lose memory of their initial state via information scrambling. Here we consider a paradigmatic translationally invariant many-body Hamiltonian of interacting…

Strongly Correlated Electrons · Physics 2025-03-17 Rohit Mukherjee , Haoyu Guo , Keiran Lewellen , Debanjan Chowdhury

Time-periodic driving of a quantum system can enable new dynamical topological phases of matter that could not exist in thermal equilibrium. We investigate two related classes of dynamical topological phenomena in 2D systems: Floquet…

Strongly Correlated Electrons · Physics 2017-04-26 Andrew C. Potter , Takahiro Morimoto

Quantum many-body scars are rare exceptions to thermalization: they sustain non-thermal stationary states without the protection of any local conservation law, and are generally expected to be fragile. Here we construct an analytically…

Quantum Physics · Physics 2026-04-21 Luca Capizzi , Benoît Ferté

Cluster states were introduced in the context of measurement based quantum computing. In one dimension, the cluster Hamiltonian possesses topologically protected states. We investigate the Floquet dynamics of the cluster spin chain in an…

Quantum Physics · Physics 2023-02-10 Alberto D. Verga

The ergodicity postulate, a foundational pillar of Gibbsian statistical mechanics predicts that a periodically driven (Floquet) system in the absence of any conservation law heats to a featureless `infinite temperature' state. Here, we…