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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

Crystals form regular and robust structures that under extreme conditions can melt and recrystallize into different arrangements in a process that is called crystal metamorphism. While crystals exist due to the breaking of a continuous…

Quantum Physics · Physics 2021-01-04 Victor M. Bastidas , Marta P. Estarellas , Tomo Osada , Kae Nemoto , William J. Munro

We describe a possible general and simple paradigm in a classical thermal setting for discrete time crystals (DTCs), systems with stable dynamics which is subharmonic to the driving frequency thus breaking discrete time-translational…

Statistical Mechanics · Physics 2020-01-22 F. M. Gambetta , F. Carollo , A. Lazarides , I. Lesanovsky , J. P. Garrahan

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…

We pinpoint the conditions necessary for discrete time crystal (DTC) formation in fully connected spin-cavity systems from the perspective of parametric resonance by mapping these systems onto oscillator like models. We elucidate the role…

Quantum Physics · Physics 2024-04-18 Roy D. Jara , Dennis F. Salinel , Jayson G. Cosme

In this work we study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC). Boundary time crystals are nonequilibrium quantum phases of matter in contact to an environment, for which a macroscopic fraction of the…

We show that interacting bosons on a ring which are driven periodically by a rotating potential can support discrete time crystals whose absolute stability can be proven. The absolute stability is demonstrated by an exact mapping of…

Quantum Gases · Physics 2023-11-29 Krzysztof Giergiel , Jia Wang , Bryan J. Dalton , Peter Hannaford , Krzysztof Sacha

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…

Quantum Physics · Physics 2025-06-10 Hongye Yu , Tzu-Chieh Wei

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…

Quantum Gases · Physics 2018-07-16 Krzysztof Giergiel , Arkadiusz Kosior , Peter Hannaford , Krzysztof Sacha

Discrete time crystals (DTCs) are nonequilibrium phases of matter with exotic observable dynamics. Among their remarkable features is their response to a periodic drive at a fraction of its frequency. Current successful experiments are…

Quantum Physics · Physics 2021-11-30 Raditya Weda Bomantara

Our understanding of phases of matter relies on symmetry breaking, one example being water ice whose crystalline structure breaks the continuous translation symmetry of space. Recently, breaking of time translation symmetry was observed in…

We investigate the conditions under which periodically driven quantum systems subject to dissipation exhibit a stable subharmonic response. Noting that coupling to a bath introduces not only cooling but also noise, we point out that a…

Statistical Mechanics · Physics 2020-04-08 Achilleas Lazarides , Sthitadhi Roy , Francesco Piazza , Roderich Moessner

Time quasicrystals (TQCs) represent a compelling extension of the concept of time crystals (TCs). While TCs break discrete time-translation symmetry by exhibiting a periodic response at a subharmonic of the driving frequency, TQCs display a…

Strongly Correlated Electrons · Physics 2025-10-28 Davood Marripour , Jahanfar Abouie

Discrete time crystals are a special phase of matter in which time translational symmetry is broken through a periodic driving pulse. Here, we first propose and characterize an effective mechanism to generate a stable discrete time crystal…

Quantum Physics · Physics 2025-03-31 Rozhin Yousefjani , Krzysztof Sacha , Abolfazl Bayat

Understanding how temporal order degrades in quantum systems remains a central issue in nonequilibrium physics. Here we study the melting of discrete time crystals in a periodically driven holographic system, where a distinct (discrete)…

High Energy Physics - Theory · Physics 2026-04-16 Yu-Qi Lei , Xian-Hui Ge , Yu Tian , Shao-Feng Wu

Driven systems offer the potential to realize a wide range of non-equilibrium phenomena that are inaccessible in static systems, such as the discrete time crystals. Time rondeau crystals with a partial temporal order have been proposed as a…

Statistical Mechanics · Physics 2025-10-24 Zhuocheng Ma , Jin Yan , Hongzheng Zhao , Liang-You Peng

Time crystals are many-body states that spontaneously break translation symmetry in time the way that ordinary crystals do in space. While experimental observations have confirmed the existence of discrete or continuous time crystals, these…

Quantum Physics · Physics 2023-10-10 Yu-Hui Chen , Xiangdong Zhang

We investigate the emergence of a time crystal in a driven-dissipative many-body spin array. In this system the interplay between incoherent spin pumping and collective emission stabilizes a synchronized non-equilibrium steady state which…

Discrete time crystals (DTCs) are non-equilibrium phases in periodically driven systems that exhibit spontaneous breaking of discrete time-translation symmetry. The stabilization of most DTC phases is achieved via the disorder-induced…

Quantum Physics · Physics 2025-12-19 Jian-Jia Wang , Ling-Zhi Tang , Yan-Xiong Du , Dan-Wei Zhang

Closed time-like curves naturally appear in a variety of chronology-violating space-times. In these space-times, the Principle of Self-Consistency demands an harmony between local and global affairs that excludes grandfather-like paradoxes.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gustavo E. Romero , Diego F. Torres