Effective Hamiltonians for discrete time crystals

Abstract

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Lack of a genuine time crystal in a chiral soliton model

“…It was also proven for a quite general class of systems with two-body interactions that a genuine time crystal cannot exist [6][7][8]. Referring to systems with multiparticle interactions, Kozin and Kyriienko showed that a genuine time crystal could exist [9] but its experimental realization does not seem attainable [10,11]. On the other hand, another kind of time crystal has been demonstrated in the laboratory [12][13][14][15][16], i.e., the so-called discrete or Floquet time crystals where discrete time translation symmetry is spontaneously broken into another discrete time translation symmetry [17][18][19].…”