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We investigate the resurgence structure in quantum mechanical modelsoriginating in 2d non-linear sigma models with emphasis on nearlysupersymmetric and quasi-exactly solvable parameter regimes. By expanding theground state energy in powers of a supersymmetry-breaking deformation parameter$\delta \epsilon$, we derive exact results for the expansion coefficients. Inthe class of models described by real multiplets, the ${\mathcalO}(\delta\epsilon)$ ground state energy has a non-Borel summable asymptoticseries, which gives rise to imaginary ambiguities leading to rich resurgencestructure. We discuss the sine-Gordon quantum mechanics (QM) as an example andshow that the semiclassical contributions from complex multi-bion solutionscorrectly reproduce the corresponding part in the exact result including theimaginary ambiguities. As a typical model described by chiral multiplets, wediscuss the $\mathbb C P^{N-1}$ QM and show that the exact ${\mathcal O}(\delta\epsilon)$ ground state energy can be completely reconstructed from thesemiclassical multi-bion contributions. Although the ${\mathcal O}(\delta\epsilon)$ ground state energy has trivial resurgence structure, a simple butrich resurgence structure appears at ${\mathcal O}(\delta \epsilon^{2})$. Weshow the complete cancellation between the ${\mathcal O}(\delta \epsilon^{2})$imaginary ambiguities arising from the non-Borel summable perturbation seriesand those in the semiclassical contributions of $N-1$ complex bion solutions.We also discuss the resurgence structure of a squashed ${\mathbb C}P^1$ QM.

Resurgence Structure to All Orders of Multi-bions in Deformed SUSY Quantum Mechanics