# Condensed matter physics in time crystals

@article{Guo2020CondensedMP, title={Condensed matter physics in time crystals}, author={Lingzhen Guo and Pengfei Liang}, journal={arXiv: Quantum Gases}, year={2020} }

Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time-translation symmetry in static systems is proved impossible for the equilibrium state, the discrete time-translation symmetry in periodically driven (Floquet) systems is allowed to be spontaneously broken, resulting in the so-called Floquet or discrete time crystals. While most works so far searching for time crystals focus on the symmetry breaking…

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## 21 Citations

Nonexistence of spontaneous symmetry breakdown of time-translation symmetry: a review

- Physics, Mathematics
- 2022

The time invariance of equilibrium states has been established in the C∗-algebraic framework assuming an infinite-volume Heisenberg time evolution as C∗-dynamics. This fundamental property of…

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Atoms can form molecules if they attract each other. Here, we show that atoms are also able to form bound states not due to the attractive interaction but because of destructive interference. If the…

Controlled preparation of phases in two-dimensional time crystals

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The study of phases is useful for understanding novel states of matter. One such state of matter are time crystals which constitute periodically driven interacting many-body systems that…

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Akitada Sakurai,1, 2, ∗ Victor M. Bastidas,3, 2 Marta P. Estarellas,2, † William J. Munro,3, 2 and Kae Nemoto2, 1 1Department of Informatics, School of Multidisciplinary Sciences, SOKENDAI (The…

Floquet dynamical quantum phase transitions in periodically quenched systems

- Medicine, PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2021

This work systematically explore Floquet DQPTs in a class of periodically quenched one-dimensional system with chiral symmetry by tuning the strength of quench, which opens a new perspective for the Floquet engineering of D QPTs and the dynamical detection of topological phase transitions in Floquet systems.

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Time-periodic driving fields could endow a system with peculiar topological and transport features. In this work, we find dynamically controlled localization transitions and mobility edges in…

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Time-periodic driving fields could endow a system with peculiar topological and transport features. In this work, we find dynamically controlled localization transitions and mobility edges in…

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Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation

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The authors develop a general method for the computation of temporal correlation functions and the corresponding spectra in time-periodic open quantum systems based on the Floquet theory. The authors…

Genuine Multipartite Correlations in a Boundary Time Crystal

- Physics
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In this work we study genuine multipartite correlations (GMC’s) in a boundary time crystal (BTC). Boundary time crystals are nonequilibrium quantum phases of matter in contact to an environment, for…

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