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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…

Quantum Physics · Physics 2020-04-09 C. M. Dai , Z. C. Gu , X. X. Yi

Floquet time crystal, which breaks discrete time-translation symmetry, is an intriguing phenomenon in non-equilibrium systems. It is crucial to understand the rigidity and robustness of discrete time crystal (DTC) phases in a many-body…

Quantum Gases · Physics 2023-05-16 Peng Xu , Tian-Shu Deng

We investigate dissipative phase transitions in an open central spin system. In our model the central spin interacts coherently with the surrounding many-particle spin environment and is subject to coherent driving and dissipation. We…

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

Driven-dissipative many-body system supports nontrivial quantum phases absent in equilibrium. As a prominent example, the interplay between coherent driving and collective dissipation can lead to a dynamical quantum phase that spontaneously…

Quantum Physics · Physics 2025-12-29 Zhuqing Wang , Ruochen Gao , Xiaoling Wu , Berislav Buča , Klaus Mølmer , Li You , Fan Yang

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 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…

Disordered Systems and Neural Networks · Physics 2017-07-10 Wen Wei Ho , Soonwon Choi , Mikhail D. Lukin , Dmitry A. Abanin

Periodically driven systems provide unique opportunities to investigate the dynamics of topological excitations far from equilibrium. In this paper, we report a time-crystalline soliton (TCS) state in a driven-dissipative $\phi^4$ model.…

Statistical Mechanics · Physics 2025-12-12 Xingdong Luo , Zhizhen Chen

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

Motivated by experimental observations of time-symmetry breaking behavior in a periodically driven (Floquet) system, we study a one-dimensional spin model to explore the stability of such Floquet discrete time crystals (DTCs) under the…

Strongly Correlated Electrons · Physics 2017-09-25 Tian-Sheng Zeng , D. N. Sheng

Discrete time crystals represent a paradigmatic nonequilibrium phase of periodically driven matter. Protecting its emergent spatiotemporal order necessitates a mechanism that hinders the spreading of defects, such as localization of domain…

Statistical Mechanics · Physics 2022-09-16 Mario Collura , Andrea De Luca , Davide Rossini , Alessio Lerose

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

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 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…

Dissipative time crystals can appear in spin systems, when the $Z_2$ symmetry of the Hamiltonian is broken by the environment, and the square of total spin operator $S^2$ is conserved. In this manuscript, we relax the latter condition and…

Quantum Physics · Physics 2022-12-22 Gianluca Passarelli , Procolo Lucignano , Rosario Fazio , Angelo Russomanno

Driven quantum systems coupled to an environment typically exhibit effectively thermal behavior with relaxational dynamics near criticality. However, a different qualitative behavior might be expected in the weakly dissipative limit due to…

Quantum Gases · Physics 2021-01-15 Daniel A. Paz , Mohammad F. Maghrebi

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

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

We study the critical properties of finite-dimensional dissipative quantum spin systems with uniform ferromagnetic interactions. Starting from the transverse-field Ising model coupled to a bath of harmonic oscillators with Ohmic spectral…

Quantum Physics · Physics 2016-10-06 Kabuki Takada , Hidetoshi Nishimori

We discuss the emergence of non-stationarity in open quantum many-body systems. This leads us to the definition of dissipative time crystals which display experimentally observable, persistent, time-periodic oscillations induced by noisy…

Quantum Physics · Physics 2022-11-28 Cameron Booker , Berislav Buča , Dieter Jaksch