Colloquium: Quantum and classical discrete time crystals

MP Zaletel, M Lukin, C Monroe, C Nayak, F Wilczek… - Reviews of Modern …, 2023 - APS
The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

Time crystals: a review

K Sacha, J Zakrzewski - Reports on Progress in Physics, 2017 - iopscience.iop.org
Time crystals are time-periodic self-organized structures postulated by Frank Wilczek in
2012. While the original concept was strongly criticized, it stimulated at the same time an …

[BOOK][B] The Jaynes–Cummings model and its descendants: modern research directions

J Larson, T Mavrogordatos - 2021 - iopscience.iop.org
The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …

Discrete time crystals

DV Else, C Monroe, C Nayak… - Annual Review of …, 2020 - annualreviews.org
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 …

[HTML][HTML] Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions

N Defenu, A Lerose, S Pappalardi - Physics Reports, 2024 - Elsevier
Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

Observation of discrete-time-crystal signatures in an ordered dipolar many-body system

J Rovny, RL Blum, SE Barrett - Physical review letters, 2018 - APS
A discrete time crystal (DTC) is a robust phase of driven systems that breaks the discrete
time translation symmetry of the driving Hamiltonian. Recent experiments have observed …

Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance

N Shammah, S Ahmed, N Lambert, S De Liberato… - Physical Review A, 2018 - APS
The permutational invariance of identical two-level systems allows for an exponential
reduction in the computational resources required to study the Lindblad dynamics of …

Boundary time crystals

F Iemini, A Russomanno, J Keeling, M Schirò… - Physical review …, 2018 - APS
In this work we introduce boundary time crystals. Here continuous time-translation symmetry
breaking occurs only in a macroscopic fraction of a many-body quantum system. After …

Discrete time-crystalline order in cavity and circuit QED systems

Z Gong, R Hamazaki, M Ueda - Physical review letters, 2018 - APS
Discrete time crystals are a recently proposed and experimentally observed out-of-
equilibrium dynamical phase of Floquet systems, where the stroboscopic dynamics of a local …

A brief history of time crystals

V Khemani, R Moessner, SL Sondhi - arxiv preprint arxiv:1910.10745, 2019 - arxiv.org
The idea of breaking time-translation symmetry has fascinated humanity at least since
ancient proposals of the perpetuum mobile. Unlike the breaking of other symmetries, such …