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A: Fachverband Atomphysik
A 29: Ultra-cold atoms, ions and BEC (joint session A/Q)
A 29.20: Poster
Thursday, March 17, 2022, 16:30–18:30, P
Quantum simulation of many-body non-equilibrium dynamics in tilted 1D fermi-hubbard model. — •Bharath Hebbe Madhusudhana1,2, Sebastian Scherg1,2, Thomas Kohlert1,2, Immanuel Bloch1,2, and Monika Aidelsburger1 — 1Ludwig-Maximilians-Universitat Munchen, Germany — 2Max-Planck-Institut fur Quantenoptik, Garching, Germany
Thermalization of isolated quantum many-body systems is deeply related to redistribution of quantum information in the system. Therefore, a question of fundamental importance is when do quantum many-body systems fail to thermalize, i.e., feature non-ergodicity. A useful test-bed for the study of non-ergodicity is the tilted Fermi-Hubbard model. Here we experimentally study non-ergodic behavior in this model by tracking the evolution of an initial charge-density wave over a wide range of parameters, where we find a remarkably long-lived initial-state memory [1]. In the limit of large tilts, we identify the microscopic processes which the observed dynamics arise from. These processes constitute an effective Hamiltonian and we experimentally show its validity [2]. We show that in these simulations, our experiment surpasses the present-day computational limitation with Lexp = 290 lattice sites and evolution times up to 700 tunneling times. We use our experiment to benchmark a new efficient numerical technique to solve for the dynamics of many-body systems [3].
[1.] Sebastian Scherg et al. Nature Communications 12 (1), 1-8 [2.] Thomas Kohlert et al. arXiv:2106.15586 [3.] Bharath Hebbe Madhusudhana et. al. PRX Quantum 2, 040325.