Harnessing synthetic gauge fields for maximally entangled state generation

Abstract

We study the generation of entanglement between two species of neutral cold atoms living on an optical ring lattice, where each group of particles can be described by a $d$-dimensional Hilbert space (qu$d$it). Synthetic magnetic fields are exploited to create an entangled state between the pair of qu$d$its. Maximally entangled eigenstates are found for well defined values of the Aharonov-Bohm phase, which are zero energy eigenstates of both the kinetic and interacting parts of the Bose-Hubbard Hamiltonian, making them quite exceptional and robust against certain non-perturbative fluctuations of the Hamiltonian. We propose a protocol to reach the maximally entangled state (MES) by starting from an initially prepared ground state. Also, an indirect method to detect the MES by measuring the current of the particles is proposed.

10 pages, 3 figures

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Cited by in corpus (3)

• Generation and protection of Maximally Entangled State between many modes in an optical network with dissipation
• Decoherence-free quantum register of nuclear spins in diamond
• Hysteresis of noninteracting and spin-orbit coupled atomic Fermi gases with relaxation