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The non-linear gravitational wave (GW) memory effect is a distinct predictionin general relativity. While the effect has been well studied for comparablemass binaries, it has mostly been overlooked for intermediate mass ratioinspirals (IMRIs). We offer a comprehensive analysis of the phenomenology anddetectability of memory effects, including contributions from subdominantharmonic modes, in heavy IMRIs consisting of a stellar mass black hole and anintermediate mass black hole. When formed through hierarchical mergers, forexample when a GW190521-like remnant captures a stellar mass black hole, IMRIsystems have a large total mass, large spin on the primary, and possiblyresidual eccentricity; features that potentially raise the prospect for memorydetection. We compute both the displacement and spin non-linear GW memory fromthe $m \neq 0$ gravitational waveforms computed within a black holeperturbation theory framework that is partially calibrated to numericalrelativity waveforms. We probe the dependence of memory effects on mass ratio,spin, and eccentricity and consider the detectability of a memory signal fromIMRIs using current and future GW detectors. We find that (i) whileeccentricity introduces additional features in both displacement and spinmemory, it does not appreciatively change the prospects of detectability, (ii)including higher modes into the memory computation can increase singal-to-noise(SNR) values by about 7\% in some cases, (iii) the SNR from displacement memorydramatically increases as the spin approaches large, positive values, (iv) spinmemory from heavy IMRIs would, however, be difficult to detect with futuregeneration detectors even from highly spinning systems. Our results suggestthat hierarchical binary black hole mergers may be a promising source fordetecting memory and could favorably impact memory forecasts.

Survey of gravitational wave memory in intermediate mass ratio binaries