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Journal Article

Quantum time crystals with programmable disorder in higher dimensions


Kennes,  D. M.
Institut für Theorie der Statistischen Physik, RWTH Aachen and JARA Fundamentals of Future Information Technology;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free Electron Laser Science;

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Kshetrimayum, A., Goihl, M., Kennes, D. M., & Eisert, J. (2021). Quantum time crystals with programmable disorder in higher dimensions. Physical Review B, 103(22): 224205. doi:10.1103/PhysRevB.103.224205.

Cite as: https://hdl.handle.net/21.11116/0000-0008-BCB4-9
We present fresh evidence for the presence of discrete quantum time crystals in two spatial dimensions. Discrete time crystals are intricate quantum systems that break discrete time translation symmetry in driven quantum many-body systems undergoing nonequilibrium dynamics. They are stabilized by many-body localization arising from disorder. We directly target the thermodynamic limit using instances of infinite tensor network states, and we implement disorder in a translationally invariant setting by introducing auxiliary systems at each site. We discuss how such disorder can be realized in programmable quantum simulators: This gives rise to the interesting situation in which a classical tensor network simulation can contribute to devising a blueprint of a quantum simulator featuring prethermal time crystalline dynamics, one that will ultimately have to be built in order to explore the stability of this phase of matter for long times.