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arXiv · 2108.10626

Bargmann Representation of Spin Chains

M. W. AlMasri·M. R. B. Wahiddin
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Abstract

Spin chain Hamiltonians can be written in terms of complex differential operators using the Bargmann representation of the Jordan-Schwinger map. In this case, the eigenfunctions are expressed as the product of orthonormal monomials of the phase-space coordinates $z_{i}=Q_{i}+i P_{i}$ in the complex plane. Furthermore, the series constructed from each phase-space coordinate converges uniformly in any compact domain of the complex plane. Formulating spin chains with respect to the phase-space coordinates helps in discussing their classical limit and in the calculations of quasi-probability distributions.

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M. W. AlMasri, M. R. B. Wahiddin. 2021-08-24. Bargmann Representation of Spin Chains. https://arxiv.org/abs/2108.10626

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