Optimal control pulses found by minimizing cost functions that directly encode period doubling can generate discrete time crystals in open and closed many-body systems.
The spins can be encoded in the 6 2S1/2 |F= 0, mF = 0>and |F= 1, m F = 0>hyperfine clock states of an electro- statically trapped and laser cooled 171Yb+ ions [21]
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Generating discrete time crystals through optimal control
Optimal control pulses found by minimizing cost functions that directly encode period doubling can generate discrete time crystals in open and closed many-body systems.