Observation of Non-Markovian Spin Dynamics in a Jaynes-Cummings-Hubbard Model using a Trapped-Ion Quantum Simulator

Abstract

Jaynes-Cummings-Hubbard (JCH) model is a fundamental many-body model for light-matter interaction. As a leading platform for quantum simulation, the trapped ion system has realized the JCH model for two to three ions. Here we report the quantum simulation of the JCH model using up to 32 ions. We verify the simulation results even for large ion numbers by engineering low excitations and thus low effective dimensions; then we extend to 32 excitations for an effective dimension of $2^{77}$, which is difficult for classical computers. By regarding the phonon modes as baths, we explore Markovian or non-Markovian spin dynamics in different parameter regimes of the JCH model, similar to quantum emitters in a structured photonic environment. We further examine the dependence of the non-Markovian dynamics on the effective Hilbert space dimension. Our work demonstrates the trapped ion system as a powerful quantum simulator for many-body physics and open quantum systems.

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• Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
• Tunable Non-Markovianity for Bosonic Quantum Memristors
• Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
• State Preparation in a Jaynes-Cummings Lattice with Quantum Optimal Control
• Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor
• Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice
• Tripartite multiphoton Jaynes-Cummings model: Analytical solution and Wigner nonclassicalities
• Characterization of non-Markovianity with maximal extractable qubit-reservoir entanglement
• Dressed bound states and non-Markovian dynamics with a whispering-gallery-mode microcavity coupled to a two-level atom and a semi-infinite photonic waveguide
• Site-dependent control of polaritons in the Jaynes Cummings Hubbard model with trapped ions