In the right conditions, removing one particle from a multipartite bound state can make it fall apart. This feature, known as the "Borromean property", has been recently demonstrated experimentally in Efimov states. One could expect that such peculiar behavior should be linked with the presence of strong inter-particle correlations. However, any exploration of this connection is hindered by the complexity of the physical systems exhibiting the Borromean property. To overcome this problem, we introduce a simple dynamical toy model based on a discrete-time quantum walk of many interacting particles. We show that the particles described by it need to exhibit the Greenberger-Horne-Zeillinger (GHZ) entanglement to form Borromean bound states. As this type of entanglement is very prone to particle losses, our work demonstrates an intuitive link between correlations and Borromean properties of the system. Moreover, we discuss our findings in the context of the formation of composite particles.
 N. A. Baas, D. V. Fedorov, A. S. Jensen, K. Riisager, A. G. Volosniev, N. T. Zinner, Physics of Atomic Nuclei 77, 361 (2014). DOI: 10.1134/S1063778814030028.
 A. Ahlbrecht et al. New J. Phys. 14 073050 (2012). DOI: 10.1088/1367-2630/14/7/073050.
 D. Greenberger, M. Horne, and A. Zeilinger in Bell’s Theorem, Quantum Theory, and Conceptions of the Universe, edited by M. Kaftos (Kluwer Academic, Dordrecht, 1989). DOI: 10.1007/978-94-017-0849-4_10.
 P. K. Aravind in Potentiality, Entanglement and Passion-at-a-Distance, Boston Studies in the Philosophy of Science, vol 194. Springer, Dordrecht (1997). DOI: 10.1007/978-94-017-2732-7_4.
 T. Toffoli and N. Margolus, Cellular Automata Machines: A New Environment for Modelling, The MIT Press (1987). ISBN-10: 026252631X.
 Adam S. Sajna and Paweł Kurzyński, "Collective dynamics of N -partite quantum systems: The role of entanglement, classical correlations, and interaction", Physical Review A 105 1, 012206 (2022).
The above citations are from Crossref's cited-by service (last updated successfully 2022-09-26 10:08:28). The list may be incomplete as not all publishers provide suitable and complete citation data.
On SAO/NASA ADS no data on citing works was found (last attempt 2022-09-26 10:08:28).
This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.