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We analyze the quantum dynamics of periodically driven, disordered systems in the presence of long-range interactions. Focusing on the stability of discrete time crystalline (DTC) order in such systems, we use a perturbative procedure to…

无序系统与神经网络 · 物理学 2017-07-10 Wen Wei Ho , Soonwon Choi , Mikhail D. Lukin , Dmitry A. Abanin

Discrete time crystals (DTCs) are new phases of matter characterized by the presence of an observable evolving with $nT$ periodicity under a $T$-periodic Hamiltonian, where $n>1$ is an integer insensitive to small parameter variations. In…

量子物理 · 物理学 2020-01-17 Pekik Nurwantoro , Raditya Weda Bomantara , Jiangbin Gong

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…

无序系统与神经网络 · 物理学 2025-05-20 Aarya Bothra , Arti Garg

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…

介观与纳米尺度物理 · 物理学 2023-04-04 Christopher Sims

Discrete time crystals (DTCs) are novel out-of-equilibrium quantum states of matter which break time translational symmetry. DTCs have been extensively realized in experiments, particularly their subclass that is characterized by…

量子物理 · 物理学 2025-12-09 Tianqi Chen , Ruizhe Shen , Ching Hua Lee , Bo Yang , Raditya Weda Bomantara

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…

Higher-order and fractional discrete time crystals (DTCs) are exotic phases of matter where the discrete time translation symmetry is broken into higher-order and non-integer category. Generation of these unique DTCs has been widely studied…

A discrete time crystal (DTC) is the paradigmatic example of a phase of matter that occurs exclusively in systems out of equilibrium. This phenomenon is characterized by the spontaneous symmetry breaking of discrete time-translation and…

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…

量子物理 · 物理学 2025-10-13 Zhuo-Yi Li , Yu-Ran Zhang

Discrete time crystals (DTCs) are non-equilibrium phases of matter that break the discrete time-translation symmetry and is characterized by a robust subharmonic response in periodically driven quantum systems. Here, we explore the DTC in a…

量子物理 · 物理学 2026-05-08 Ling-Zhi Tang , Xiao Li , Z. D. Wang , Dan-Wei Zhang

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…

量子物理 · 物理学 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

Discrete time crystals (DTC) have been demonstrated experimentally in several different quantum systems in the past few years. Spin couplings and cavity losses have been shown to play crucial roles for realizing DTC order in open many-body…

量子物理 · 物理学 2022-02-03 Zhengda Hu , Xingyu Gao , Tongcang Li

The spontaneous breaking of time-translation symmetry in periodically driven quantum systems leads to a new phase of matter: discrete time crystals (DTC). This phase exhibits collective subharmonic oscillations that depend upon an interplay…

统计力学 · 物理学 2020-04-21 Norman Y. Yao , Chetan Nayak , Leon Balents , Michael P. Zaletel

Periodically driven quantum systems manifest various non-equilibrium features which are absent at equilibrium. For example, discrete time-translation symmetry can be broken in periodically driven quantum systems leading to an exotic phase…

量子物理 · 物理学 2020-04-09 C. M. Dai , Z. C. Gu , X. X. Yi

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.…

量子物理 · 物理学 2025-10-23 Parvinder Solanki , Fabrizio Minganti

We introduce a qudit-native framework for engineering rich and robust discrete time crystals (DTCs) by leveraging their internal multilevel structure. Unlike in qubit systems, qudit-based DTCs exhibit distinct dynamical mechanisms that…

量子物理 · 物理学 2026-05-18 Wei-Guo Ma , Heng Fan , Shi-Xin Zhang

Many-body quantum systems, under suitable conditions, exhibit time-translation symmetry breaking and settle in a discrete time crystalline (DTC) phase -- an out-of-equilibrium quantum phase of matter. The defining feature of DTC is a robust…

量子物理 · 物理学 2025-11-14 Gourab Das , Saptarshi Saha , Rangeet Bhattacharyya

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…

量子物理 · 物理学 2023-09-01 Saptarshi Saha , Rangeet Bhattacharyya

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…

量子物理 · 物理学 2025-05-20 Hillol Biswas , Sayan Choudhury

We propose a new Floquet time crystal model that responds in arbitrary multiples of the driving period. Such an $n$-tuple discrete time crystal is theoretically constructed by permuting spins in a disordered chain and is well suited for…

量子物理 · 物理学 2025-06-10 Hongye Yu , Tzu-Chieh Wei
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