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Related papers: Time crystals: a review

200 papers

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

We present the theory of spontaneous symmetry breaking (SSB) of discrete time translations as recently realized in the space-time crystals of an atomic Bose-Einstein condensate. The non-equilibrium physics related to such a…

Quantum Gases · Physics 2021-11-10 J. N. Stehouwer , J. Smits , P. van der Straten , H. T. C. Stoof

We analytically identify a new class of quantum scars protected by spatiotemporal translation symmetries, dubbed Floquet-Bloch scars. They distinguish from previous (quasi-)static scars by a rigid spectral pairing only possible in Floquet…

Quantum Gases · Physics 2022-09-20 Biao Huang , Tsz-Him Leung , Dan Stamper-Kurn , W. Vincent Liu

We study the evolution of quantum fluctuations in systems known as time crystals, hypothetical systems for which the lowest energy state performs a periodic motion. We first discuss some general properties shared by time crystals, and…

Quantum Physics · Physics 2014-10-10 Esteban Castillo , Benjamin Koch , Gonzalo Palma

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

Pair interaction potentials between atoms in a crystal are in general non-monotonic in distance, with a local minimum whose position gives the lattice constant of the crystal. A temporal analogue of this idea of crystal formation is still…

Atomic Physics · Physics 2025-05-01 Weiyu Wang , Mingjun Feng , Qianjin Ma , Zi Cai , Erwei Li , Guobin Liu

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…

Discrete time crystals (DTCs) are emergent non-equilibrium phases of periodically driven many-body systems, with potential applications ranging from quantum computing to sensing and metrology. There has been significant recent interest in…

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…

Time crystals are systems that spontaneously break time-translation symmetry, exhibiting repeating patterns in time. Recent work has shown that non-Hermitian Floquet systems can host a time crystalline phase with quasi-long-range order. In…

Strongly Correlated Electrons · Physics 2025-03-31 Weihua Xie , Michael Kolodrubetz , Vadim Oganesyan , Daniel P. Arovas

The long range spatial and temporal ordering displayed by discrete time crystals, can become advantageous properties when used for sensing extremely weak signals. Here, we investigate their performance as quantum sensors of weak AC-fields…

Quantum Physics · Physics 2024-06-04 Fernando Iemini , Rosario Fazio , Anna Sanpera

A time crystal is a time dependent physical system that does not reach a standstill, even in state of minimum energy. Here we show that the stability of a time crystal can be enhanced by its topology. For this we simulate time crystals made…

Pattern Formation and Solitons · Physics 2019-10-31 Jin Dai , Xubiao Peng , Antti J. Niemi

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…

Higher-order and fractional discrete time crystals (DTCs) are exotic phases of matter where the discrete time translation symmetry is broken into higher-order and non-integer category. Generation of these unique DTCs has been widely studied…

Continuous time crystals (CTCs) - media with broken continuous time translation symmetry - are an eagerly sought state of matter that spontaneously transition from a time-independent state to one of periodic motion in response to a small…

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

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…

Quantum Gases · Physics 2020-07-22 Changyuan Lyu , Sayan Choudhury , Chenwei Lv , Yangqian Yan , Qi Zhou

Prethermal discrete time crystals (PDTCs), an emergent non-equilibrium phase of matter, have been studied in two- and higher-dimensional lattices with nearest-neighbor (NN) interactions and one-dimensional (1D) lattices with long-range…

Quantum Physics · Physics 2025-10-13 Zhuo-Yi Li , Yu-Ran Zhang

We study transitions between distinct phases of one-dimensional periodically driven (Floquet) systems. We argue that these are generically controlled by infinite-randomness fixed points of a strong-disorder renormalization group procedure.…

Disordered Systems and Neural Networks · Physics 2018-09-25 William Berdanier , Michael Kolodrubetz , S. A. Parameswaran , Romain Vasseur

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
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