Current algebra for a generalized two-site Bose-Hubbard model

TL;DR

This paper develops a current algebra framework for a generalized two-site Bose-Hubbard model, enabling analysis of quantum current dynamics and their dependence on Hamiltonian parameters, with a generalized Heisenberg equation of motion.

Contribution

It introduces a current algebra approach for the generalized two-site Bose-Hubbard model and extends the Heisenberg equation to higher derivatives.

Findings

Different Hamiltonian parameters lead to varied current dynamics.

The generalized Heisenberg equation allows for higher-order time derivatives.

The framework provides a systematic way to analyze quantum currents in the model.

Abstract

We present a current algebra for a generalized two-site Bose-Hubbard model and use it to get the quantum dynamics of the currents. For different choices of the Hamiltonian parameters we get different currents dynamics. We generalize the Heisenberg equation of motion to write the n-th time derivative of any operator.