Unitary qubit lattice algorithms for spin-1 Bose Einstein condensates (BECs)

ABSTRACT

A unitary qubit lattice gas algorithm is developed for spin-1 BEC and is used to examine vortex reconnections for singular quantum hyperfine linear vortices. It is shown that a simple diagonalization of the spin–orbit coupling term will break the unitarity of the qubit algorithm and can rapidly lead to code instability.

KEYWORDS:

• Spinor BECs
• qubits
• unitary lattice algorithms

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was partially supported by the Department of Defense [AFOSR grant number #FA9550-09-1-0607] and the National Science Foundation [grant number #1314242]; Air Force Office of Scientific Research.