Title
Non-Hermitian matter-wave mixing in Bose-Einstein condensates: Dissipation-induced amplification
Document Type
Article
Publication Date
7-6-2017
Abstract
We investigate the nonlinear scattering dynamics in interacting atomic Bose-Einstein condensates under non-Hermitian dissipative conditions. We show that, by carefully engineering a momentum-dependent atomic loss profile, one can achieve matter-wave amplification through four-wave mixing in a quasi-one-dimensional nearly-free-space setup—a process that is forbidden in the counterpart Hermitian systems due to energy mismatch. Additionally, we show that similar effects lead to rich nonlinear dynamics in higher dimensions. Finally, we propose a physical realization for selectively tailoring the momentum-dependent atomic dissipation. Our strategy is based on a two-step process: (i) exciting atoms to narrow Rydberg or metastable excited states, and (ii) introducing loss through recoil; all while leaving the bulk condensate intact due to protection by quantum interference.
Publication Title
Physical Review A
Recommended Citation
Wuster, S.,
&
El-Ganainy, R.
(2017).
Non-Hermitian matter-wave mixing in Bose-Einstein condensates: Dissipation-induced amplification.
Physical Review A,
96.
http://doi.org/10.1103/PhysRevA.96.013605
Retrieved from: https://digitalcommons.mtu.edu/physics-fp/101
Version
Publisher's PDF
Included in
Atomic, Molecular and Optical Physics Commons, Statistical, Nonlinear, and Soft Matter Physics Commons
Publisher's Statement
© 2017 American Physical Society. Article deposited here in compliance with publisher policies. Publisher's version of record: https://doi.org/10.1103/PhysRevA.96.013605