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Symmetries are well known to have had a profound role in our understanding of nature and are a critical design concept for the realization of advanced technologies. In fact, many symmetry-broken states associated with different phases of…

Quantum Physics · Physics 2021-04-01 A. Sakurai , V. M. Bastidas , W. J. Munro , Kae Nemoto

Continuous time crystals (CTCs) - media with broken continuous time translation symmetry - are an eagerly sought state of matter that spontaneously transition from a time-independent state to one of periodic motion in response to a small…

Experimental advances have allowed for the exploration of nearly isolated quantum many-body systems whose coupling to an external bath is very weak. A particularly interesting class of such systems is those which do not thermalize under…

Strongly Correlated Electrons · Physics 2022-10-05 Dominic V. Else , Christopher Monroe , Chetan Nayak , Norman Y. Yao

A quantum phase of matter can be understood from the symmetry of the system's Hamiltonian. The system symmetry along the time axis has been proposed to show a new phase of matter referred as discrete-time crystals (DTCs). A DTC is a quantum…

Quantum Physics · Physics 2021-08-25 Akitada Sakurai , Victor M. Bastidas , Marta P. Estarellas , William J. Munro , Kae Nemoto

Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time-translation symmetry in static systems is proved impossible for the equilibrium state, the…

Quantum Gases · Physics 2020-08-19 Lingzhen Guo , Pengfei Liang

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

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

Discrete time crystal is a class of nonequilibrium quantum systems exhibiting subharmonic responses to external periodic driving. Here we propose a class of discrete time crystals enforced by nonsymmorphic dynamical symmetry. We start with…

Quantum Physics · Physics 2023-10-10 Zi-Ang Hu , Bo Fu , Xiao Li , Shun-Qing Shen

Discrete time crystals are periodically driven systems that display spontaneous symmetry breaking of time translation invariance in the form of indefinite subharmonic oscillations. We introduce a thermodynamically consistent model for a…

Statistical Mechanics · Physics 2021-01-20 Lukas Oberreiter , Udo Seifert , Andre C. Barato

Following the recent realisation that periodically driven quantum matter can support new types of spatiotemporal order, now known as discrete time crystals (DTCs), we consider the stability of this phenomenon. Motivated by its conceptual…

Statistical Mechanics · Physics 2017-05-24 Achilleas Lazarides , Roderich Moessner

Discrete time crystals (DTC) have emerged as a significant phase of matter for out-of-equilibrium many-body systems. We study how long-range interactions and disorder contribute to the stability of the DTC phase. Generally, a stable DTC…

Disordered Systems and Neural Networks · Physics 2025-05-20 Aarya Bothra , Arti Garg

While a generic open quantum system decays to its steady state, continuous time crystals (CTCs) develop spontaneous oscillation and never converge to a stationary state. Just as crystals develop correlations in space, CTCs do so in time.…

Quantum Physics · Physics 2025-10-23 Parvinder Solanki , Fabrizio Minganti

We report the first experimental observation of discrete time-crystal phases and crystallites in an actively mode-locked semiconductor laser. By tuning either the bias current or the modulation frequency, the system undergoes a spontaneous…

Discrete time crystalline phases have attracted significant theoretical and experimental attention in the last few years. Such systems require a seemingly impossible combination of nonadiabatic driving and a finite-entropy long-time state,…

Disordered Systems and Neural Networks · Physics 2025-02-11 Yevgeny Bar Lev , Achilleas Lazarides

Here we provide a theoretical framework to analyze discrete time-crystalline phases (DTC) in open quantum many-body systems. As a particular realization, we choose a quantum many-body system that exhibits cascaded prethermalization . The…

Quantum Physics · Physics 2023-09-01 Saptarshi Saha , Rangeet Bhattacharyya

Quantum many-body systems display rich phase structure in their low-temperature equilibrium states. However, much of nature is not in thermal equilibrium. Remarkably, it was recently predicted that out-of-equilibrium systems can exhibit…

Quantum Physics · Physics 2022-02-10 Xiao Mi , Matteo Ippoliti , Chris Quintana , Ami Greene , Zijun Chen , Jonathan Gross , Frank Arute , Kunal Arya , Juan Atalaya , Ryan Babbush , Joseph C. Bardin , Joao Basso , Andreas Bengtsson , Alexander Bilmes , Alexandre Bourassa , Leon Brill , Michael Broughton , Bob B. Buckley , David A. Buell , Brian Burkett , Nicholas Bushnell , Benjamin Chiaro , Roberto Collins , William Courtney , Dripto Debroy , Sean Demura , Alan R. Derk , Andrew Dunsworth , Daniel Eppens , Catherine Erickson , Edward Farhi , Austin G. Fowler , Brooks Foxen , Craig Gidney , Marissa Giustina , Matthew P. Harrigan , Sean D. Harrington , Jeremy Hilton , Alan Ho , Sabrina Hong , Trent Huang , Ashley Huff , William J. Huggins , L. B. Ioffe , Sergei V. Isakov , Justin Iveland , Evan Jeffrey , Zhang Jiang , Cody Jones , Dvir Kafri , Tanuj Khattar , Seon Kim , Alexei Kitaev , Paul V. Klimov , Alexander N. Korotkov , Fedor Kostritsa , David Landhuis , Pavel Laptev , Joonho Lee , Kenny Lee , Aditya Locharla , Erik Lucero , Orion Martin , Jarrod R. McClean , Trevor McCourt , Matt McEwen , Kevin C. Miao , Masoud Mohseni , Shirin Montazeri , Wojciech Mruczkiewicz , Ofer Naaman , Matthew Neeley , Charles Neill , Michael Newman , Murphy Yuezhen Niu , Thomas E. O\' Brien , Alex Opremcak , Eric Ostby , Balint Pato , Andre Petukhov , Nicholas C. Rubin , Daniel Sank , Kevin J. Satzinger , Vladimir Shvarts , Yuan Su , Doug Strain , Marco Szalay , Matthew D. Trevithick , Benjamin Villalonga , Theodore White , Z. Jamie Yao , Ping Yeh , Juhwan Yoo , Adam Zalcman , Hartmut Neven , Sergio Boixo , Vadim Smelyanskiy , Anthony Megrant , Julian Kelly , Yu Chen , S. L. Sondhi , Roderich Moessner , Kostyantyn Kechedzhi , Vedika Khemani , Pedram Roushan

Prethermal discrete time crystals (PDTCs) are a nonequilibrium state of matter characterized by long-range spatiotemporal order, and exhibiting a subharmonic response stabilized by many-body interactions under periodic driving. The inherent…

We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a…

Statistical Mechanics · Physics 2022-10-19 Alessandro Santini , Giuseppe E. Santoro , Mario Collura

A time crystal is an exotic phase of matter where time-translational symmetry is broken; this phase differs from the spatial symmetry breaking induced in crystals in space. Lots of experiments report the transition from a thermal…

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