Open dynamics with non-Gaussian states, and a Long-range Rydberg-ion molecule in a Paul trap

Abstract: In this talk, I’ll discuss a new framework to simulate the open dynamics of many-boson quantum systems. We use a superposition of squeezed-displaced states as a non-Gaussian state (NGS) ansatz. It is not restricted to a low excitation subspace, and can describe a variety of interesting quantum states (eg. squeezed cat states). We simulate open dynamics using the time-dependent variational principle and quantum trajectories, avoiding the need to propagate a density matrix. We study the Holstein-Tavis-Cummings model and compare to dTWA, showing that NGS is a complementary method that provides some additional benefits at similar computational cost. 

In the second part of the talk I’ll discuss a long-range atom-ion molecule, and present our theoretical results showing its survival in a Paul trap. I’ll demonstrate how we can use the phonon modes of the ion chain to mediate long-range Rydberg blockade and facilitation.