Non-trivial time crystal-like ground state for gravitational perturbation in quadratic gravity

Chakraborty, Sumanta; Ghosh, Subir

doi:10.1016/j.dark.2022.100976

Cited by 3 publications

(1 citation statement)

References 71 publications

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“…Recent systematic studies resulted in a growing list of condensed-matter phases reproduced or generalized in the time domain: Anderson and manybody localization, Mott insulator, topological and other phases have been reported [6][7][8][9][10][11][12][13][14][15][16]. Another extension was provided by the fresh proposal of time-space crystalline structures [17], see also [18][19][20][21][22][23][24][25], that combine periodicity in time and in space. Viewed as an introduction of synthetic dimensions, such time-space lattices pave the way to potential doubling of the number of dimensions.…”

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confidence: 99%

Two-dimensional Thouless pumping in time-space crystalline structures

Y.¹,

Fan²,

Žlabys³

et al. 2022

Preprint

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Dynamics of particle in a resonantly driven quantum well can be interpreted as that of a particle in a crystal-like structure, with the time playing the role of the coordinate. By introducing an adiabatically varied phase in the driving protocol, we demonstrate a realization of the Thouless pumping in such a time crystalline structure. Next, we extend the analysis beyond a single quantum well by considering a driven one-dimensional optical lattice, thereby engineering a 2D time-space crystalline structure. Such a setup allows us to explore adiabatic pumping in the spatial and the temporal dimensions separately, as well as to simulate simultaneous time-space pumping.

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