@article {2531, title = {Many-Body Dephasing in a Trapped-Ion Quantum Simulator}, journal = {Phys. Rev. Lett.}, volume = {125}, year = {2020}, month = {8/24/2020}, abstract = {

How a closed interacting quantum many-body system relaxes and dephases as a function of time is a fundamental question in thermodynamic and statistical physics. In this work, we observe and analyse the persistent temporal fluctuations after a quantum quench of a tunable long-range interacting transverse-field Ising Hamiltonian realized with a trapped-ion quantum simulator. We measure the temporal fluctuations in the average magnetization of a finite-size system of spin-1/2 particles and observe the experimental evidence for the theoretically predicted regime of many-body dephasing. We experiment in a regime where the properties of the system are closely related to the integrable Hamiltonian with global spin-spin coupling, which enables analytical predictions even for the long-time non-integrable dynamics. We find that the measured fluctuations are exponentially suppressed with increasing system size, consistent with theoretical predictions.\ 

}, doi = {https://doi.org/10.1103/PhysRevLett.125.120605}, url = {https://arxiv.org/abs/2001.02477}, author = {Harvey B. Kaplan and Lingzhen Guo and Wen Lin Tan and Arinjoy De and Florian Marquardt and Guido Pagano and Christopher Monroe} }