In the first 30 months of the project, we have obtained several major results on the three objectives of the project:
O1 – Out-of-equilibrium quantum dynamics in arrays of Rydberg atoms
• Demonstration of a new way to generate extended spin models by Floquet engineering with microwaves [Phys. Rev. X Quantum 2022]
• Observation of Long-Range Order in a 2-dimensional XY magnets [Nature 2023]
• Demonstration of scalable spin squeezing with dipolar interaction [Nature 2023]
• Demonstration of a quench spectroscopy method to measure the dispersion relation of a dipolar quantum magnets, and observation of the anomalous behavior for the ferromagnetic coupling due the dipolar tail of the interaction [under review at Science 2024].
• Demonstration of local manipulation and readout in arrays of interacting Rydberg atoms, and demonstration of an elementary brick of a chiral spin liquid using a 6 atom setting (measurement of chiral-chiral correlations), [Phys. Rev. Lett. 2024].
• Theoretical proposal for the measurement of entanglement entropy between interacting Rydberg atoms by applying local random unitary operations.
O2 – Towards bosonic topological insulator in 2D arrays of Rydberg atoms
Theoretical investigation of experimentally realizable interacting topological phases, in collaboration with H-P Büchler [Phys. Rev. X Quantum 2022] and M. Fleischhauer [New. Journal of Physics 2022]. These lay the ground for an experimental realization, although challenging under the current protocols.
O3 – Subradiance and correlations in arrays with collective dissipation
• Observation of a non-equilibrium phase transition on our dense atomic cloud setup [Nature Physics 2023]
• Theoretical investigation of the non-equilibrium phase transition observed above jointly with the group of A-M Rey in JILA (USA) [under review PRXQ 2024] and D. Chang (ICFO, Spain) [under review PRXQ 2024].
• Experimental demonstration that the light emitted by a driven dissipative elongated cloud features non-gaussian correlations, a pre-requisite to utilize the for quantum information tasks [Phys. Rev. Lett. 2024]
• Trapping of individual Dysprosium atoms in optical tweezers on our new experiments [Phys. Rev. Lett. 2023]
• Measurement of various polarizabilities (scalar, vectorial and tensorial) of Dy atoms in a 532-nm optical tweezer [arXiv 2024, under review at Phys. Rev. A].
In parallel to these works, we explored in collaboration with theorists several questions related to many-body physics, that either used the data produced on our experiments or proposed new experimental methods:
• New protocol to generate enlarged classes of spin Hamiltonians using Floquet engineering [Phys. Rev. A 2023]
• Wavefunction network description of a many-body system, and benchmark on data from our implementation of the quantum Ising model in 2021 [PRX 2024]
• Exploration of a spin-slave boson method to solve the Fermi Hubbard model on a Rydberg quantum simulation [PRB 2024].