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Exponential Expansion of Massive Schr\'{o}dinger Cats for Sensing and Entanglement

Authors :
Braccini, Lorenzo
Serafini, Alessio
Bose, Sougato
Publication Year :
2024

Abstract

Schr\"{o}dinger cat states of levitated masses have several applications in sensing and, offer an avenue to explore the fundamental nature -- classical vs nonclassical -- of gravity, eg, through gravitationally induced entanglement (GIE). The interaction between a qubit and a levitated mass is a convenient method to create such a cat state. The size of the superpositions is limited by weak mass-qubit interactions. To overcome this limitation, we propose a protocol that exponentially expands an initially small superposition via Gaussian dynamics and successfully recombines it to complete an interferometry. An unknown force can be sensed by the superposition exponentially fast in the expansion time. The entanglement between two such interferometers interacting via a quantum force is -- for the first time in qubit-based non-Gaussian protocols -- obtained by solving the full quantum dynamics using Gaussian techniques. GIE grows exponentially, thereby making it closer to experimental feasibility. Requirements of experimental precision and decoherence are obtained.<br />Comment: 5 Pages, 2 Figures, Table, and Appendix. Comments are welcome

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2408.11930
Document Type :
Working Paper