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Quantum boomerang effect: Beyond the standard Anderson model

Abstract : It was recently shown that wavepackets with skewed momentum distribution exhibit a boomeranglike dynamics in the Anderson model due to Anderson localization: after an initial ballistic motion, they make a U-turn and eventually come back to their starting point. In this paper, we study the robustness of the quantum boomerang effect in various kinds of disordered and dynamical systems: tight-binding models with pseudo-random potentials, systems with band random Hamiltonians, and the kicked rotor. Our results show that the boomerang effect persists in models with pseudo-random potentials. It is also present in the kicked rotor, although in this case with a specific dependency on the initial state. On the other hand, we find that random hopping processes inhibit any drift motion of the wavepacket, and consequently the boomerang effect. In particular, if the random nearestneighbor hopping amplitudes have zero average, the wavepacket remains in its initial position.
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Submitted on : Tuesday, October 12, 2021 - 11:17:11 AM
Last modification on : Thursday, November 18, 2021 - 4:13:31 AM

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L. Tessieri, Z. Akdeniz, N. Cherroret, D. Delande, P. Vignolo. Quantum boomerang effect: Beyond the standard Anderson model. Physical Review A, American Physical Society 2021, 103 (6), pp.063316. ⟨10.1103/PhysRevA.103.063316⟩. ⟨hal-03374598⟩

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