Poster: Measurement-Induced Dynamics of Particles and Quasiparticles in the Bose-Hubbard Model

Measurement plays a crucial role in a quantum system beyond just learning about the system: the post-measurement state has effects on future time time-evolution and the measurements can even create state entanglement. In a many-body system, continuous or stroboscopic measurement is also known to induce interesting physical dynamics of the underlying system, including so-called measurement-induced phase transitions. In this work, we study the creation and diffusion of quasiparticles emerging from appropriately renomalized measurements of a field theory. To this end, we consider a Bose Einstein condensate, in the low temperature and low momentum limit, undergoing a weak measurement process such as that induced by continuous phase contrast imaging. By performing a Master Equation study of the condensate’s Bogoliubov quasiparticles whose real-space onsite counterparts are being continuously measured, we are able to explain the measurement-induced creation and diffusion of quasiparticles into different momentum states. This lays a foundation for understanding the effects of ’spontaneous collapse’ predictions from novel models of quantum gravity on aspects of the Standard Model.