Comprehensive understanding of how nonlinearity influences quantumness

Establish a comprehensive theoretical characterization of how potential nonlinearity influences quantumness in single-mode bosonic systems by developing a general framework that relates anharmonic potential features to nonclassical signatures such as non-Gaussianity and Wigner-function negativity, thereby clarifying the mechanisms linking nonlinear dynamics to measurable quantum behavior.

Background

The paper studies the double-Morse (DM) potential as a nonlinear, double-well model for generating non-Gaussian and nonclassical single-mode quantum states, analyzing Wigner negativity, non-Gaussianity, and metrological performance. Prior works have shown in specific models (e.g., Duffing-type resonators) that increasing nonlinearity can enhance quantum features.

Despite these model-specific results, the authors emphasize that a general, comprehensive understanding connecting nonlinearity to quantumness across single-mode bosonic systems has not been achieved. Their work contributes evidence using the DM potential but highlights the broader need for a unified framework linking anharmonicity to quantum resources.

References

Nevertheless, a comprehensive understanding of how nonlinearity influences quantumness remains an open and largely unexplored question.

— Nonclassical State Generation and Quantum Metrology in the Double-Morse Potential  (2511.07591 - Chogle et al., 10 Nov 2025) in Section 1 (Introduction)

We observed that a similar tradeoff between coherence time and Wigner negativity exists for Fock states. This leads us to conjecture the persistence of such a relation in other families of states, such as for example, the nonlinearly squeezed vacuum states, that have attracted considerable experimental and theoretical attention.

— Tradeoff between Wigner negativity and decoherence time for cubic Gaussian states  (2610.10073 - Arnhem et al., 7 Oct 2026) in Section Conclusion and outlook

An important direction for future work is therefore to extend the analysis to stronger anharmonicities and to systematically investigate the evolution of the motional nonclassicality beyond the weak-perturbation regime. Such an extension would allow one to determine whether the progressive modification of the Fock-state populations, number fluctuations, Wigner distribution, and quadrature squeezing observed here eventually leads to a qualitative change or suppression of nonclassical behavior.

— Quantum dynamics of an ion in an RF quadrupole trap with weak octupolar anharmonicity  (2610.13293 - Jana et al., 9 Oct 2026) in Section Conclusion