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Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential

Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential

A major challenge in modern physics is to accurately describe strongly interacting quantum many-body systems. One-dimensional systems provide fundamental insights because they are often amenable to exact methods. However, no exact solution is known for the experimentally relevant case of external confinement. We propose a powerful ansatz for the one-dimensional …