Nonlinear Response Functions of Strongly Correlated Boson Fields: Bose-Einstein Condensates and Fractional Quantum Hall Systems

摘要

The second order response functions and susceptibilities of finitetemperature Bose-Einstein Condensates (BEC) in a one dimensional harmonic trapdriven by an external field that couples to the particle density are calculatedby solving the time-dependent Hartree-Fock-Bogoliubov (TDHFB) equations. Theseprovide additional insight into BEC dynamics, beyond the linear responseregime. The results also apply to electron liquids in the Fractional QuantumHall Effect (FQHE) regime which can be mapped onto an effective boson systemcoupled to a Chern-Simons gauge field.