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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Simulation

Correlation functions of charged free boson and fermion systems

arXiv

Authors: Naihuan Jing, Zhijun Li, Tommy Wuxing Cai

Year

2019

Paper ID

40052

Status

Preprint

Abstract Read

~2 min

Abstract Words

157

Citations

N/A

Abstract

Using the idea of the quantum inverse scattering method, we introduce the operators mathbf{B}(x), mathbf{C}(x) and mathbf{{B}}(x), mathbf{{C}}(x) corresponding to the off-diagonal entries of the monodromy matrix T for the phase model and i-boson model in terms of bc fermions and neutral fermions respectively, thus giving alternative treatment of the KP and BKP hierarchies. We also introduce analogous operators mathbf{B}^*(x) and mathbf{C}^*(x) for the charged free boson system and show that they are in complete analogy to those of bc fermionic fields. It is proved that the correlation function langle 0|mathbf{C}\(x_N\)cdotsmathbf{C}\(x₁\)mathbf{B}\(y₁\)cdots mathbf{B}\(y_N\)|0rangle in the bc fermionic fields is the inverse of the correlation function langle 0|mathbf{C}^*\(x_N\)cdotsmathbf{C}^*\(x₁\)mathbf{B}^*\(y₁\)cdots mathbf{B}^*\(y_N\)|0rangle in the charged free bosons.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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Using the idea of the quantum inverse scattering method, we introduce the operators mathbfB(x), mathbfC(x) and mathbfB(x), mathbfC(x) corresponding to the off-diagonal entries...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1912.03870 [2] arXiv https://arxiv.org/abs/1912.03870 [3] Publisher https://arxiv.org/abs/1912.03870

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