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It was recently discovered that atoms subject to a time-periodic drive can give rise to a crystal structure in phase space. In this work, we point out the atom-atom interactions give rise to collective phonon excitations of phase-space…

Quantum Gases · Physics 2022-03-08 Lingzhen Guo , Vittorio Peano , Florian Marquardt

Discrete time crystals are a many-body state of matter where the extensive system's dynamics are slower than the forces acting on it. Nowadays, there is a growing debate regarding the specific properties required to demonstrate such a…

Classical Physics · Physics 2019-09-25 Toni L. Heugel , Matthias Oscity , Alexander Eichler , Oded Zilberberg , R. Chitra

Time crystals, as temporal analogs of space crystals, manifest as stable and periodic behavior that breaks time translation symmetry. In an open quantum system, many-body interaction subjected to dissipation allows one to develop the time…

Atomic Physics · Physics 2025-10-09 Yuechun Jiao , Weilun Jiang , Yu Zhang , Jingxu Bai , Yunhui He , Heng Shen , Jianming Zhao , Suotang Jia

Dissipative Rydberg gases are an outstanding platform for the investigation of many-body quantum open systems. Despite the wealth of existing studies, the non-equilibrium dynamics of dissipative Rydberg gases are rarely examined or…

Quantum Gases · Physics 2024-02-06 Chongwu Xie , Konghao Sun , Kang-Da Wu , Chuan-Feng Li , Guang-Can Guo , Wei Yi , Guo-Yong Xiang

We consider the possibility that classical dynamical systems display motion in their lowest energy state, forming a time analogue of crystalline spatial order. Challenges facing that idea are identified and overcome. We display arbitrary…

Other Condensed Matter · Physics 2013-05-30 Alfred Shapere , Frank Wilczek

In this Letter, we study an Anderson-localization-induced quantized transport in disordered Chern insulators (CIs). By investigating the disordered CIs with a step potential, we find that the chiral interface states emerge along the…

Mesoscale and Nanoscale Physics · Physics 2021-02-25 Zhi-Qiang Zhang , Chui-Zhen Chen , Yijia Wu , Hua Jiang , Junwei Liu , Qing-feng Sun , X. C. Xie

The skyrmion crystal is a periodic array of a swirling topological spin texture. Since it is regarded as an interference pattern by multiple helical spin density waves, the texture changes with the relative phases among the constituent…

Strongly Correlated Electrons · Physics 2021-12-15 Satoru Hayami , Tsuyoshi Okubo , Yukitoshi Motome

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

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

Discrete time-crystals are periodically driven quantum many-body systems with broken discrete-time translational symmetry, a non-equilibrium steady state representing self-organization of motion of quantum particles. Observations of…

Mesoscale and Nanoscale Physics · Physics 2022-06-28 Subhajit Sarkar , Yonatan Dubi

Continuous time crystals, i.e., nonequilibrium phases with a spontaneously broken continuous time-translational symmetry, have been studied and recently observed in the long-time dynamics of open quantum systems. Here, we investigate a…

Quantum Physics · Physics 2025-09-15 Felix Russo , Thomas Pohl

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…

Quantum Physics · Physics 2025-05-13 Shu Yang , Zeqing Wang , Libin Fu , Jianwen Jie

Understanding quantum dynamics away from equilibrium is an outstanding challenge in the modern physical sciences. It is well known that out-of-equilibrium systems can display a rich array of phenomena, ranging from self-organized…

The reversible Frank model is capable of amplifying the initial small statistical deviations from the idealized racemic composition. This temporary amplification can be interpreted as a chiral excursion in a dynamic phase space. It is well…

Chemical Physics · Physics 2015-03-19 Celia Blanco , Michael Stich , David Hochberg

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…

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

We propose an experimental scheme to effectively assemble chains of dipolar gases with an uniform length in a multi-layer system. The obtained dipolar chains can form a chain crystal with the system temperature easily controlled by the…

Quantum Gases · Physics 2015-06-19 Jhih-Shih You , Daw-Wei Wang

Time-crystals are nonequilibrium many-body phases in which the state of the system dynamically approaches a limit cycle. While these phases are recently in the focus of intensive research, it is still far from clear whether they can host…

Statistical Mechanics · Physics 2024-04-22 Robert Mattes , Igor Lesanovsky , Federico Carollo

Recent experiments with dense laser-driven atomic gases [G. Ferioli et al., arXiv:2207.10361 (2022)] have realized a many-body system which in the thermodynamic limit yields a so-called boundary time-crystal. This state of matter is…

Quantum Physics · Physics 2023-10-19 Albert Cabot , Leah Sophie Muhle , Federico Carollo , Igor Lesanovsky

Time crystals are genuinely non-equilibrium quantum phases of matter that break time-translational symmetry. While in non-equilibrium closed systems time crystals have been experimentally realized, it remains an open question whether or not…

Quantum Physics · Physics 2020-05-27 Andreu Riera-Campeny , Maria Moreno-Cardoner , Anna Sanpera
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