Interaction-driven breakdown of dynamical localization in a kicked quantum gas

Ubiquity of the quantum boomerang effect in localized systems

“…The QKR presents AL and QBE in momentum space in the absence of interactions. When interactions are present, dynamical localization is destroyed [44]. The existence of the QBE was confirmed in a very recent experimental implementation of the QKR [45].…”

“…The initial wave packet is a Gaussian in momentum space with variance σ k and initial "boost" x 0 , ψ 0 (p) = N exp −p 2 /2σ 2 k − ix 0 p . Interactions are known to destroy dynamical localization in the QKR [44]. Furthermore any finite interaction g breaks T symmetry, and hence the full QBE is present only for g = 0.…”

“…Interestingly, Creutz ladders with cross tunnelings can lead to the formation of flat bands and might display disorderless many-body localized (MBL) states [60]. Also, the presence of momentum-space QBE can be tested in the interacting kicked-rotor model tuning the interaction in a 7 Li BEC via Feshbach resonances [44,45].…”

Multiband topological phases of periodically kicked molecules

“…A two-dimensional kicked rotor is a paradigmatic model used to study nonlinear dynamics, dynamical localization and quantum chaos [16,17]. Since the original works of Casati and Chirikov [18][19][20][21], the predictions of the theory have been verified in several experiments, e.g., with atoms in microwave fields [22,23], Rydberg atoms [24], atomic matter waves [25], and Bose-Einstein condensates [26]. Topological aspects of double kicked two-dimensional rotors have also been extensively explored in connection to spectra resembling the Hofstadter butterfly and the corresponding Chern numbers [27][28][29].…”