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• W4290976210 abstract "A particle with finite initial velocity in a disordered potential comes back and on average stops at the original location. This phenomenon, dubbed the ``quantum boomerang effect'' (QBE), has been recently observed in an experiment simulating the quantum kicked-rotor model [Sajjad et al., Phys. Rev. X 12, 011035 (2022)]. We provide analytical arguments that support the presence of the QBE in a wide class of disordered systems. Sufficient conditions to observe the real-space QBE are (a) Anderson localization, (b) the reality of the spectrum for the case of non-Hermitian systems, (c) the ensemble of disorder realizations ${H}$ being invariant under the application of $mathcal{R}phantom{rule{0.16em}{0ex}}mathcal{T}$, and (d) the initial state being an eigenvector of $mathcal{R}phantom{rule{0.16em}{0ex}}mathcal{T}$, where $mathcal{R}$ is a reflection $xensuremath{rightarrow}ensuremath{-}x$ and $mathcal{T}$ is the time-reversal operator. The QBE can be observed in momentum space in systems with dynamical localization if conditions (c) and (d) are satisfied with respect to the operator $mathcal{T}$ instead of $mathcal{RT}$. These conditions allow the observation of the QBE in time-reversal-symmetry-broken models, contrary to what was expected from previous analyses of the effect, and in a large class of non-Hermitian models. We provide examples of the QBE in lattice models with magnetic flux breaking time-reversal symmetry and in a model with an electric field. Whereas the QBE straightforwardly applies to noninteracting many-body systems, we argue that a real-space (momentum-space) QBE is absent in weakly interacting bosonic systems due to the breaking of reflection--time-reversal (time-reversal) symmetry." @default.
• W4290976210 created "2022-08-13" @default.
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• W4290976210 date "2022-08-08" @default.
• W4290976210 modified "2023-10-16" @default.
• W4290976210 title "Ubiquity of the quantum boomerang effect in Hermitian Anderson-localized systems" @default.
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• W4290976210 doi "https://doi.org/10.1103/physrevb.106.l060301" @default.
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