Flow Representation of the Bose-Hubbard Hamiltonian : General Case
Kazuyuki Fujii (Yokohama City University), Tatsuo Suzuki (Shibaura, Institute of Technology)

TL;DR
This paper presents a comprehensive flow representation of the Bose-Hubbard Hamiltonian, which could facilitate the creation of cat states in atomic systems trapped in optical rings.
Contribution
It introduces a general explicit flow representation for the Bose-Hubbard Hamiltonian, expanding analytical tools for quantum state engineering.
Findings
Flow representation derived for the general Bose-Hubbard Hamiltonian
Potential application in creating cat states in optical ring traps
Provides a new analytical framework for quantum many-body systems
Abstract
In this paper the explicit flow representation to the Bose-Hubbard Hamiltonian is given in the general case. This representation may be useful in creating cat states for the system of atoms trapped in the optical ring.
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