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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

Cosmological time crystal (TC) corresponds to a matter state where the periodic motion of field forms a limit cycle in its phase space. We explore what would happen if it existed in inflationary phase. It is found that the limit cycle…

广义相对论与量子宇宙学 · 物理学 2019-12-30 Hao-Hao Li , Yun-Song Piao

The spontaneous breaking of symmetries is a widespread phenomenon in physics. When time translational symmetry is spontaneously broken, an exotic nonequilibrium state of matter in which the same structures repeat themselves in time can…

软凝聚态物质 · 物理学 2021-12-10 Marina Evers , Raphael Wittkowski

When the discrete time-translation symmetry of isolated, periodically driven systems is spontaneously broken, a new phase of matter can emerge. We review some recent developments on both the theoretical underpinnings and experimental…

量子物理 · 物理学 2018-11-28 Norman Y. Yao , Chetan Nayak

Time crystals are an enigmatic phase of matter in which a quantum mechanical system displays repetitive, observable motion - they spontaneously break the time translation symmetry. On the other hand optomechanical systems, where mechanical…

量子物理 · 物理学 2025-10-20 J. T. Mäkinen , P. J. Heikkinen , S. Autti , V. V. Zavjalov , V. B. Eltsov

Time crystals are classified into discrete time crystals and continuous time crystals based on whether they spontaneously break time-translation symmetry. Continuous-time crystals do not require external driving. By introducing AdS/CFT…

量子物理 · 物理学 2025-08-15 Ximo Wang , Qiwei Han , Zhenqi Bai , Hongyan Fan , Yichi Zhang

Discrete time crystals (DTC) exhibit a special non-equilibrium phase of matter in periodically driven many-body systems with spontaneous breaking of time translational symmetry. The presence of decoherence generally enhances thermalization…

量子物理 · 物理学 2024-10-31 Rozhin Yousefjani , Angelo Carollo , Krzysztof Sacha , Saif Al-Kuwari , Abolfazl Bayat

A discrete time crystal (DTC) repeats itself with a rigid rhythm, mimicking a ticking clock set by the interplay between its internal structures and an external force. DTCs promise profound applications in precision time-keeping and other…

量子气体 · 物理学 2020-07-22 Changyuan Lyu , Sayan Choudhury , Chenwei Lv , Yangqian Yan , Qi Zhou

Time crystals are proposed states of matter which spontaneously break time translation symmetry. There is no settled definition of such states. We offer a new definition which follows the traditional recipe for Wigner symmetries and order…

统计力学 · 物理学 2017-09-27 Vedika Khemani , C. W. von Keyserlingk , S. L. Sondhi

Periodically driven optical materials and metamaterials have recently emerged as a promising platform for realizing photonic time crystals (PTCs), which are systems whose optical properties are strongly and periodically modulated on…

Chimera states are a captivating occurrence in which a system composed of multiple interconnected elements exhibits a distinctive combination of synchronized and desynchronized behavior. The emergence of these states can be attributed to…

统计力学 · 物理学 2024-06-27 Mahbub Rahaman , Akitada Sakurai , Analabha Roy

Time crystals are quantum many-body systems which, due to interactions between particles, are able to spontaneously self-organize their motion in a periodic way in time by analogy with the formation of crystalline structures in space in…

量子气体 · 物理学 2018-04-04 Krzysztof Giergiel , Artur Miroszewski , Krzysztof Sacha

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

Time crystals are quantum many-body systems which are able to self-organize their motion in a periodic way in time. Discrete time crystals have been experimentally demonstrated in spin systems. However, the first idea of spontaneous…

量子气体 · 物理学 2018-07-16 Krzysztof Giergiel , Arkadiusz Kosior , Peter Hannaford , Krzysztof Sacha

The notion of spontaneous symmetry breaking has been well established to characterize classical and quantum phase transitions of matter, such as in condensation, crystallization or quantum magnetism. Generalizations of this paradigm to the…

Discrete-Time Crystals (DTC) are a non-equilibrium phase of matter characterized by the breaking of time-translation symmetry in periodically driven quantum systems. In this work, we present a detailed thermodynamic analysis of a DTC in a…

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

The compelling original idea of a time crystal has referred to a structure that repeats in time as well as in space, an idea that has attracted significant interest recently. While obstructions to realize such structures became apparent…

强关联电子 · 物理学 2020-12-03 A. Kshetrimayum , J. Eisert , D. M. Kennes

Time crystals are a nonequilibrium phase of matter that extend fundamental spontaneous symmetry breaking into the temporal dimension, typically requiring external driving for their realization. Here, we explore the nonequilibrium phase…

量子物理 · 物理学 2025-05-13 Shu Yang , Zeqing Wang , Libin Fu , Jianwen Jie

In this work, we explore the dynamics of time varying photonic media with an optical Kerr nonlinearity and an associated phase transition. The interplay between a periodically modulated permittivity and the nonlinearity induces a continuous…

光学 · 物理学 2024-08-23 Egor I. Kiselev , Yiming Pan