Topological transport of a classical droplet in a lattice of time
- URL: http://arxiv.org/abs/2403.06500v1
- Date: Mon, 11 Mar 2024 08:14:58 GMT
- Title: Topological transport of a classical droplet in a lattice of time
- Authors: Tapio Simula, Niels Kj{\ae}rgaard, Tilman Pfau
- Abstract summary: We show that Thouless charge pumps can be realized for time solids by transporting droplets of a liquid forward and backward in time lattices.
Our results establish topological pumping through time instead of space and pave the way for applications of time crystals.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Thouless charge pumps are quantum mechanical devices whose operation relies
on topology. They provide the means for transporting quantum matter in space
lattices with a single quantum precision. Contrasting space crystals that
spontaneously break a continuous spatial translation symmetry and form crystals
in space,time crystals have emerged as novel states of matter that organize
into time lattices and spontaneously break a discrete time translation
symmetry. The utility of Thouless pumps that enable topologically protected
quantised transport of electrons and neutral atoms in spatial superlattices
leads to the question if corresponding devices exist for time crystals? Here we
show that topological pumps can be realized for time solids by transporting
droplets of a liquid forward and backward in time lattices and we measure the
topological index that characterises such pumping processes. By exploiting a
synthetic time dimension classical time crystals can circumvent the quantum
tunneling that underpins Thouless charge pumps. Our results establish
topological pumping through time instead of space and pave the way for
applications of time crystals.
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