Volume 108, Number 2, October 2014
|Number of page(s)||6|
|Published online||31 October 2014|
Harnessing gauge fields for maximally entangled state generation
1 Instituto de Física, Pontificia Universidad Católica de Chile - Casilla 306, Santiago 22, Chile
2 Université Grenoble Alpes, Institut Fourier UMR5582 - F-38402 Saint-Martin d'Hères, France
3 Université Grenoble Alpes, LPMMC - F-38000 Grenoble, France
Received: 30 May 2014
Accepted: 9 October 2014
We study the generation of entanglement between two species of bosons living on a ring lattice, where each group of particles can be described by a d-dimensional Hilbert space (qudit). Gauge fields are exploited to create an entangled state between the pair of qudits. 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. 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.
PACS: 03.67.Bg – Entanglement production and manipulation / 37.10.Jk – Atoms in optical lattices / 03.65.Vf – Phases: geometric; dynamic or topological
© EPLA, 2014
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