Abstract
Time-periodic driving facilitates a wealth of novel quantum states and quantum engineering. The interplay of Floquet states and strong interactions is particularly intriguing, which we study using time-periodic fields in a one-dimensional quantum gas, modeled by a Luttinger liquid with periodically changing interactions. By developing a time-periodic operator algebra, we are able to solve and analyze the complete set of nonequilibrium steady states in terms of a Floquet-Bogoliubov ansatz and known analytic functions. Complex valued Floquet eigenenergies occur when integer multiples of the driving frequency approximately match twice the dispersion energy, which correspond to resonant states. In experimental systems of Lieb-Liniger bosons we predict a change from power-law correlations to dominant collective density wave excitations at the corresponding wave numbers as the frequency is lowered below a characteristic cutoff.
Highlights
Time-periodic driving facilitates a wealth of novel quantum states and quantum engineering
Our analysis applies to time-periodic driving of generic Tomonaga-Luttinger liquids (TLL), which describe a large class of effectively
Conclusion.—We have considered time-periodically driven interacting systems in the steady state, corresponding to generic TLL models in general or the Lieb-Liniger model in particular, which e.g., applies to 1D confined atoms in ultracold gas experiments with tunable parameters
Summary
Time-periodic driving facilitates a wealth of novel quantum states and quantum engineering. Nonequilibrium Floquet Steady States of Time-Periodic Driven Luttinger Liquids By developing a time-periodic operator algebra, we are able to solve and analyze the complete set of nonequilibrium steady states in terms of a Floquet-Bogoliubov ansatz and known analytic functions.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
