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• W2033128957 abstract "The spectral density of a quantum Ising model in transverse and longitudinal fields for a large but finite number of spins N is discussed in detail. When both fields are of the same order, the spectral densities in the bulk are well approximated by a Gaussian function, which is typical behaviour for many-body models with short-range interactions. The main part of the paper is devoted to the investigation of a different characteristic case where spectral densities have peaks related with strong degeneracies of unperturbed states in certain limits of field amplitudes. In the strict limit peaks overlap and disappear but for values of N accessible in numerical calculations they often strongly influence spectral densities as well as other quantities. A simple method is developed that permits us to find general approximation formulae for the multi-peak structure of spectral density, which is in good agreement with numerics." @default.
• W2033128957 created "2016-06-24" @default.
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• W2033128957 date "2014-08-04" @default.
• W2033128957 modified "2023-09-25" @default.
• W2033128957 title "Spectral density of a one-dimensional quantum Ising model: Gaussian and multi-Gaussian approximations" @default.
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• W2033128957 doi "https://doi.org/10.1088/1751-8113/47/33/335201" @default.
• W2033128957 hasPublicationYear "2014" @default.
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