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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

Spontaneous symmetry breaking is one of the central organizing principles in physics. Time crystals have emerged as an exotic phase of matter, spontaneously breaking the time translational symmetry, and are mainly categorized as discrete or…

Quantum Physics · Physics 2026-01-16 Jan Carlo Schumann , Igor Lesanovsky , Parvinder Solanki

In this work, we explore the robustness of a bit-flip operation against thermal and quantum noise for bits represented by the symmetry-broken pairs of the period-doubled (PD) states in a classical parametric oscillator and discrete time…

Quantum Physics · Physics 2025-07-09 Roy D. Jara , Phatthamon Kongkhambut , Hans Keßler , Andreas Hemmerich , Jayson G. Cosme

The physics of critical phenomena in a many-body system far from thermal equilibrium is an interesting and important issue to be addressed both experimentally and theoretically. The trapped cold atoms have been actively used as a clean and…

Atomic Physics · Physics 2017-09-13 Geol Moon , Myoung-Sun Heo , Yonghee Kim , Heung-Ryoul Noh , Wonho Jhe

We study prethermal time-crystalline order in periodically driven quantum Ising models on disorder-free decorated lattices. Using a tensor network ansatz for the state which reflects the geometry of a unit cell of the lattice, we show…

Quantum Physics · Physics 2025-03-25 Lennart Fernandes , Joseph Tindall , Dries Sels

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

We investigate the size of discrete time crystals s (ratio of response period to driving period) that can be created for a Bose-Einstein condensate (BEC) bouncing resonantly on an oscillating mirror. We find that time crystals can be…

A dissipative time crystal is an emergent phase in driven-dissipative quantum many-body systems, characterized by sustained oscillations that break time-translation symmetry spontaneously. Here, we explore nonequilibrium phase transitions…

Quantum Gases · Physics 2026-01-09 Yunlong Xue , Zhengyang Bai , Yu-Qiang Ma

Boundary time crystals (BTCs) in dissipative collective spin systems have been extensively studied using numerical, mean-field, and perturbative approaches. However, an explicit Liouvillian description governing the long-time dynamics deep…

Quantum Physics · Physics 2026-02-20 Dominik Nemeth , Alessandro Principi , Ahsan Nazir

The interplay between many-body interactions and controlled dissipation provides a rich framework for exploring nonequilibrium quantum phases. In this work, we explore an open Dicke model including Rydberg-dressed interactions in a…

Quantum Physics · Physics 2026-04-21 Haohang Zhou , Xianfeng Chen , Luqi Yuan

Symmetries are well known to have had a profound role in our understanding of nature and are a critical design concept for the realization of advanced technologies. In fact, many symmetry-broken states associated with different phases of…

Quantum Physics · Physics 2021-04-01 A. Sakurai , V. M. Bastidas , W. J. Munro , Kae Nemoto

In a periodically driven (Floquet) system, there is the possibility for new phases of matter, not present in stationary systems, protected by discrete time-translation symmetry. This includes topological phases protected in part by…

Statistical Mechanics · Physics 2017-04-10 Dominic V. Else , Bela Bauer , Chetan Nayak

Discrete time crystals are non-equilibrium phases of matter in periodically driven systems, characterized by robust subharmonic oscillations and broken discrete time-translation symmetry. Their long-lived coherent dynamics and resilience to…

Quantum Physics · Physics 2026-04-29 Rozhin Yousefjani , Shaikha Al-Naimi , Saif Al-Kuwari , Abolfazl Bayat

We report experimental evidence of the route to spatiotemporal chaos in a large 1D-array of hotspots in a thermoconvective system. Increasing the driving force, a stationary cellular pattern becomes unstable towards a mixed pattern of…

Chaotic Dynamics · Physics 2011-03-10 M. A. Miranda , J. Burguete

Periodically driven quantum many-body systems can spontaneously break discrete time-translation symmetry, realizing discrete time crystals. To date, both experimental and theoretical efforts have largely focused on the simplest case of…

We investigate the emergence of a myriad of phases in the strong coupling regime of the dipolar Hubbard model in two dimensions. By using a combination of numerically unbiased methods in finite systems with analytical perturbative…

Strongly Correlated Electrons · Physics 2019-03-05 Tiago Mendes-Santos , Rubem Mondaini , Thereza Paiva , Raimundo R. dos Santos

We present a fully comprehensive multi-mode quantum treatment based on the truncated Wigner approximation (TWA) to study many-body effects and quantum fluctuations on the formation of a discrete time crystal (DTC) in a Bose-Einstein…

Quantum Gases · Physics 2021-07-07 Jia Wang , Peter Hannaford , Bryan J Dalton

Dominating finite-range interactions in many-body systems can lead to intriguing self-ordered phases of matter. Well known examples are crystalline solids or Coulomb crystals in ion traps. In those systems, crystallization proceeds via a…

Crystals arise as the result of the breaking of a spatial translation symmetry. Similarly, translation symmetries can also be broken in time so that discrete time crystals appear. Here, we introduce a method to describe, characterize, and…

Quantum Physics · Physics 2020-11-13 M. P. Estarellas , T. Osada , V. M. Bastidas , B. Renoust , K. Sanaka , W. J. Munro , K. Nemoto

Time crystals are many-body systems whose ground state spontaneously breaks time-translation symmetry and thus exhibits long-range spatiotemporal order and robust periodic motion. Using hydrodynamics, we have recently shown how an…

Statistical Mechanics · Physics 2025-12-15 R. Hurtado-Gutiérrez , C. Pérez-Espigares , P. I. Hurtado