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In periodically driven (Floquet) systems, evolution typically results in an infinite-temperature thermal state due to continuous energy absorption over time. However, before reaching thermal equilibrium, such systems may transiently pass…

Quantum Physics · Physics 2026-03-13 Kazuya Shinjo , Kazuhiro Seki , Tomonori Shirakawa , Rong-Yang Sun , Seiji Yunoki

Time crystals are classified as discrete or continuous depending on whether they spontaneously break discrete or continuous time translation symmetry. While discrete time crystals have been extensively studied in periodically driven systems…

We investigate the out-of-equilibrium properties of a system of interacting bosons in a ring lattice. We present a Floquet driving that induces clockwise (counterclockwise) circulation of the particles among the odd (even) sites of the ring…

Quantum Gases · Physics 2019-10-16 Andrea Pizzi , Johannes Knolle , Andreas Nunnenkamp

The topological characterization of nonequilibrium topological matter is highly nontrivial because familiar approaches designed for equilibrium topological phases may not apply. In the presence of crystal symmetry, Floquet topological…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Weiwei Zhu , Yidong Chong , Jiangbin Gong

We investigate the physics of one-dimensional symmetry protected topological (SPT) phases protected by symmetries whose symmetry generators exhibit spatial modulation. We focus in particular on phases protected by symmetries with linear…

Strongly Correlated Electrons · Physics 2023-09-20 Jung Hoon Han , Ethan Lake , Ho Tat Lam , Ruben Verresen , Yizhi You

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

Time-periodic external drives have emerged as a powerful tool to artificially create topological phases of matter. Prime examples are Floquet topological insulators (FTIs), where a gapped bulk supports in-gap edge states, protected against…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Oleksandr Balabanov , Henrik Johannesson

Periodically driven quantum systems can exhibit subharmonic response, usually characterized through physical observables and often discussed in interacting settings. Here we show that a sharp subharmonic signature already appears in the…

Quantum Physics · Physics 2026-04-28 Rishabh Jha

Prethermal discrete time crystals (DTCs) are a novel phase of periodically driven matter that exhibits robust subharmonic oscillations without requiring disorder. However, previous realizations of prethermal DTCs have relied on the presence…

Quantum Gases · Physics 2025-09-15 Takeru Yokota , Tatsuhiko N. Ikeda

The study of topologically ordered states have given rise to a growing interest in symmetry protected states in quantum matter. Recently, this theory has been extended to quantum many body systems which demonstrate ordered states at low…

Mesoscale and Nanoscale Physics · Physics 2023-04-04 Christopher Sims

Discrete time crystal (DTC) has recently attracted increasing attention, but most DTC models and their properties are only revealed after disorder average. In this Letter, we propose a simple disorder-free periodically driven model that…

Strongly Correlated Electrons · Physics 2023-03-29 Shuo Liu , Shi-Xin Zhang , Chang-Yu Hsieh , Shengyu Zhang , Hong Yao

Studies of periodically driven one-dimensional many-body systems have advanced our understanding of complex systems and stimulated promising developments in quantum simulation. It is hence of interest to go one step further, by…

Quantum Physics · Physics 2021-06-04 Raditya Weda Bomantara , Sen Mu , Jiangbin Gong

We propose periodic driving protocols to realize discrete time crystals (DTCs) in a spin-s central spin model. Interestingly, we identify parameter regimes, where eternal period-doubling and higher-order(HO)-DTCs can be realized, even for…

Quantum Physics · Physics 2025-05-20 Hillol Biswas , Sayan Choudhury

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological order have been introduced, a quest for…

Materials Science · Physics 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

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 search for exotic temporal orders in quantum matter, such as discrete quasi-time crystals (DQTCs), has become an important theme in nonequilibrium physics. However, realizing these phases has so far required complex protocols, such as…

Quantum Physics · Physics 2025-12-12 Xu Feng , Shuo Liu , Shu Chen , Shi-Xin Zhang

Symmetry Topological Field Theory (SymTFT) is a framework to capture universal features of quantum many-body systems by viewing them as a boundary of topological order in one higher dimension. This has yielded numerous insights in static…

Strongly Correlated Electrons · Physics 2024-03-04 Vedant Motamarri , Campbell McLauchlan , Benjamin Béri

We establish a link between metastability and a discrete time-crystalline phase in a periodically driven open quantum system. The mechanism we highlight requires neither the system to display any microscopic symmetry nor the presence of…

Statistical Mechanics · Physics 2019-01-10 F. M. Gambetta , F. Carollo , M. Marcuzzi , J. P. Garrahan , I. Lesanovsky

We experimentally realized a time-periodically modulated 1D lattice for ultracold atoms featuring a pair of linear bands, each associated with a Floquet winding number: a topological invariant. These bands are spin-momentum locked and…

Quantum Gases · Physics 2022-08-31 Mingwu Lu , G. H. Reid , A. R. Fritsch , A. M. Piñeiro , I. B. Spielman

We investigate how symmetries and conserved quantities relate to the occurrence of the boundary time crystal (BTC) phase in a generalized spin model with Lindblad dissipation. BTCs are a non-equilibrium phase of matter in which the system,…

Quantum Physics · Physics 2021-07-21 Giulia Piccitto , Matteo Wauters , Franco Nori , Nathan Shammah
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