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

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

2003-07-30

arxiv.org/abs/cond-mat/0307718v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 figures. Submitted to Phys. Rev. A

Scientific paper

The second order response functions and susceptibilities of finite temperature Bose-Einstein Condensates (BEC) in a one dimensional harmonic trap driven by an external field that couples to the particle density are calculated by solving the time-dependent Hartree-Fock-Bogoliubov (TDHFB) equations. These provide additional insight into BEC dynamics, beyond the linear response regime. The results also apply to electron liquids in the Fractional Quantum Hall Effect (FQHE) regime which can be mapped onto an effective boson system coupled to a Chern-Simons gauge field.

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