Calendario Attività

Floquet time crystal in the Lipkin-Meshkov-Glick model

Categoria
Seminario
Data
20 Giugno 2018 15:00 - 16:00
Luogo
14 - 15 IV piano St. 9
Affiliation
Scuola Normale Superiore di Pisa and ICTP di Trieste
Area di Ricerca
Transizioni di fase, Sistemi condensati e a molti corpi, Fisica Statistica e loro applicazioni

In this talk I will discuss the existence of time-translation symmetry breaking in a kicked infinite-range-interacting clean spin system described by the Lipkin-Meshkov-Glick model. This Floquet time crystal is robust under perturbations of the kicking protocol, its existence being intimately linked to the underlying Z_2 symmetry breaking of the time-independent model. I show that the model being infinite range and having an extensive amount of symmetry-breaking eigenstates is essential for having the time-crystal behavior. In particular, I discuss the properties of the Floquet spectrum, and show the existence of doublets of Floquet states which have quasienergies differing by half of the driving frequency, a key essence of Floquet time crystals. Remarkably, the stability of the time-crystal phase can be directly analyzed in the limit of infinite size, discussing the properties of the corresponding classical phase space.

 
 

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