The Bose-Hubbard model is proven to be QMA-complete, indicating the challenge in solving ground energy problems in quantum systems. Various classes of Hamiltonians, such as k-local and stoquastic, exhibit different complexities in computing ground energy. While some systems with QMA-complete ground

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Dive deep into concepts like the Haldane Model, Chern Numbers, and Linear Response Theory in Quantum Physics. Understand the intricate relationships between magnetic fields, electron Hamiltonians, and conductivity theories. Explore the fascinating world of quantum Hall effects and gauge invariance i

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This research delves into the concept of bi-polarons and their potential involvement in high-temperature superconductivity mechanisms. Collaborators from various institutions are investigating the properties and interactions of bi-polarons, considering factors like effective mass and density. The st

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Explore the principles behind crystal field theory, including the concept of effective Hamiltonians to mimic covalent bonding in solids. Learn how to expand potentials on spherical harmonics and understand the selection rules and symmetry considerations in this theoretical framework.

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Explore the dynamics of isolated quantum systems through quantum quenches, Lieb-Robinson bounds, and the Transverse Ising Model. Delve into experiments with one-dimensional quantum gases and long-range interactions in Hamiltonians, shedding light on information exchange, relaxation, and equilibrium

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Exploring the complexities of QMA(2) through discussions on separable sparse Hamiltonians, the power of Merlin in L.QMA, the impact of prover restrictions on complexity classes like IP and MIP, and the difference between Merlin.A, Merlin.B, and Arthur in L.QMA(2). Delve into short proofs for NP-Comp

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