Higher-order and fractional discrete time crystals in clean long-range interacting systems
| Autor: | Pizzi, Andrea, Knolle, Johannes, Nunnenkamp, Andreas |
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| Přispěvatelé: | Pizzi, Andrea [0000-0002-6714-7360], Knolle, Johannes [0000-0002-0956-2419], Nunnenkamp, Andreas [0000-0003-2390-7636], Apollo - University of Cambridge Repository |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Science
General Physics and Astronomy FOS: Physical sciences Quantum mechanics General Biochemistry Genetics and Molecular Biology Condensed Matter - Strongly Correlated Electrons quant-ph 639/766/119/2795 639/766/483/1139 cond-mat.dis-nn Quantum Physics Strongly Correlated Electrons (cond-mat.str-el) article General Chemistry Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Other Condensed Matter Phase transitions and critical phenomena Quantum Gases (cond-mat.quant-gas) cond-mat.other cond-mat.str-el Quantum Physics (quant-ph) Condensed Matter - Quantum Gases cond-mat.quant-gas Other Condensed Matter (cond-mat.other) |
| Zdroj: | Nature Communications, Vol 12, Iss 1, Pp 1-7 (2021) Nature Communications |
| ISSN: | 2041-1723 |
| Popis: | Discrete time crystals are periodically driven systems characterized by a response with periodicity $nT$, with $T$ the period of the drive and $n>1$. Typically, $n$ is an integer and bounded from above by the dimension of the local (or single particle) Hilbert space, the most prominent example being spin-$1/2$ systems with $n$ restricted to $2$. Here we show that a clean spin-$1/2$ system in the presence of long-range interactions and transverse field can sustain a huge variety of different `higher-order' discrete time crystals with integer and, surprisingly, even fractional $n > 2$. We characterize these (arguably prethermal) non-equilibrium phases of matter thoroughly using a combination of exact diagonalization, semiclassical methods, and spin-wave approximations, which enable us to establish their stability in the presence of competing long- and short-range interactions. Remarkably, these phases emerge in a model with continous driving and time-independent interactions, convenient for experimental implementations with ultracold atoms or trapped ions. 6+6 pages, 4+2 figures |
| Databáze: | OpenAIRE |
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