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The low temperature behaviour of the dynami nonlinear ( ubi ) sus eptibility 0 3 (!; T ) in quantum d-dimensional Ising spin glass with short-range intera tions between spins is investigated in terms of the quantum droplet model and the quantum-me hani al nonlinear response theory is employed. We have revealed a glassy like behaviour of droplet dynami s. The frequen y dependen e of 0 3 (!; T ) is very remarkable, the temperature dependen e is found at very low temperatures (quantum regime). The nonlinear response depends on the tunneling rate for a droplet whi h regulates the strength of quantum u tuations. This response has a strong dependen e on the distribution of droplet free energies and on the droplet length s ale average. Impli ations for experiments in quantum spin glasses like disordered dipolar quantum Ising magnet LiHo x Y 1 x F 4 and pseudospin are noted.

Linear and cubic dynamic susceptibilities in quantum spin glass