One-Axis Twisting as a Method of Generating Many-Body Bell Correlations

Płodzień, Marcin; Lewenstein, Maciej; Witkowska, Emilia; Chwedeńczuk, Jan

doi:10.1103/physrevlett.129.250402

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2023

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Cited by 13 publications

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“…It is important to observe that the procedure described above is fundamentally different from spin-squeezing proposals to generate NOON-type correlations through evolution under the one-axis twisting Hamiltonian of Kitagawa and Udea [27]. For example, the recent studies [28,29] appeal to internal degrees of freedom in the constituents of an interacting system to generate NOON-type correlations via Greenberger-Horne-Zeilinger states. By contrast, the protocol of our study is one whereby the NOON correlations are with respect to spatial bosonic degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

NOON state measurement probabilities and outcome fidelities: a Bethe ansatz approach

Bennett,

Isaac,

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2023

J. Phys. A: Math. Theor.

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A recently proposed extended Bose–Hubbard model, one that is a quantum integrable model, provides a framework for a NOON state generation protocol. Here we derive a Bethe ansatz solution for the model. The form of the solution provides the means to obtain exact asymptotic expressions for the energies and eigenstates. These results are used to derive formulae for measurement probabilities and outcome fidelities. We benchmark these results against numerical calculations.

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Section: Introductionmentioning

confidence: 99%