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Open Quantum Systems Decoherence
Quantum Simulation
Bargmann Representation of Spin Chains
arXiv
Authors: M. W. AlMasri, M. R. B. Wahiddin
Year
2021
Paper ID
62146
Status
Preprint
Abstract Read
~2 min
Abstract Words
88
Citations
N/A
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 zi=Qi+i Pi 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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- Spin chain Hamiltonians can be written in terms of complex differential operators using the Bargmann representation of the Jordan-Schwinger map.
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