Controlling many-body entanglement promises to yield both fundamental insights and practical advances. In particular, generating squeezed states for entanglement-enhanced metrology is an important near-term application of quantum systems. In past work, squeezing has been achieved in a clean, controlled setting using all-to-all Ising…

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The study of symmetry lies at the heart of various parts of physics. In equilibrium physics, symmetries are useful in classifying phases of matter and in non-equilibrium physics, they are necessary to understand the phenomenon of thermalization. Most symmetries conventionally studied in the literature are examples of so-called on-site unitary…

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Experimental condensed matter research is undergoing a revolution. Before, the need for 3D crystalline samples with a given structure and doping set stringent requirements for realization of the desired properties. Now, it is possible to create tunable 2D samples in the lab, overcoming the previous limitations and speeding up the research. Here…

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**Abstract**: In this talk, I will present local electronic compressibility measurements on a twisted transition metal dichalcogenide heterobilayer, which reveal a rich phase diagram of Hofstadter states and novel electron crystalline orders. We show that this reflects the coexistence of both flat and dispersive moiré bands whose…

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