Controlled preparation of phases in two-dimensional time crystals
- URL: http://arxiv.org/abs/2107.13770v2
- Date: Mon, 29 Nov 2021 10:45:09 GMT
- Title: Controlled preparation of phases in two-dimensional time crystals
- Authors: Arkadiusz Kuros, Rick Mukherjee, Florian Mintert, Krzysztof Sacha
- Abstract summary: Time crystals constitute periodically driven interacting many-body systems that spontaneously break time translation symmetry.
We identify the different phases that characterize the two-dimensional time crystal.
These different phases can be mapped to the many-body states existing on a two-dimensional Hubbard lattice model.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: The study of phases is useful for understanding novel states of matter. One
such state of matter are time crystals which constitute periodically driven
interacting many-body systems that spontaneously break time translation
symmetry. Time crystals with arbitrary periods (and dimensions) can be realized
using the model of Bose-Einstein condensates bouncing on periodically-driven
mirror(s). In this work, we identify the different phases that characterize the
two-dimensional time crystal. By determining the optimal initial conditions and
value of system parameters, we provide a practical route to realize a specific
phase of the time crystal. These different phases can be mapped to the
many-body states existing on a two-dimensional Hubbard lattice model, thereby
opening up interesting opportunities for quantum simulation of many-body
physics in time lattices.
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