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Matrix models, one-dimensional fermions, and quantum chaos

1994; American Physical Society; Volume: 72; Issue: 1 Linguagem: Inglês

10.1103/physrevlett.72.64

1092-0145

Benjamin D. Simons, P. A. Lee, B. L. Altshuler,

Cold Atom Physics and Bose-Einstein Condensates

Recent studies of universal parametric correlations in quantum chaotic spectra have revealed an astonishing connection to an integrable one-dimensional quantum system. We introduce a continuous matrix model which establishes a direct connection between the quantum Hamiltonian and the exact field theoretic description of spectral correlations. This reveals a common mathematical structure which underlies quantum chaos, matrix models, and a quantum Hamiltonian.