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We report on the first experimental observation of a non-equilibrium phase of matter, the discrete time crystal (DTC). A DTC breaks time-translational symmetry and displays spatio-temporal quantum order in all of its eigenstates, a feature dubbed “eigenstate order”. We implement Floquet dynamics on a 1D chain of 20 superconducting qubits [2]. Engineered disorders in the two-qubit couplings allow many-body localization (MBL) to occur despite strong external drive, thereby stabilizing the non-equilibrium phase [3]. We carefully validate the phase structure of the DTC by probing the average response of all eigenstates belonging to the Floquet unitary. Using a suitable choice of order parameter, we further identify the location of the MBL-ergodicity crossover via experimentally observed finite-size effects. These results open a direct path to studying quantum phase transitions and critical phenomena on NISQ quantum processors.
Xiao Mi
"Observation of time-crystalline eigenstate order on a quantum processor", Proc. SPIE PC12015, Quantum Computing, Communication, and Simulation II, PC1201509 (9 March 2022); https://doi.org/10.1117/12.2614861
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Xiao Mi, "Observation of time-crystalline eigenstate order on a quantum processor," Proc. SPIE PC12015, Quantum Computing, Communication, and Simulation II, PC1201509 (9 March 2022); https://doi.org/10.1117/12.2614861