Quantum entanglement and drifting generated by an AC field resonant with frequency-doubled Bloch oscillations of correlated particles
W.S. Dias, F.A.B.F. de Moura, and M. L. Lyra

TL;DR
This paper demonstrates how a resonant AC field can induce strong entanglement and complex drift behaviors in correlated particles on a lattice, revealing the interplay between quantum correlations and external driving.
Contribution
It reveals the conditions under which an AC field resonant with doubled Bloch oscillations enhances entanglement and affects particle drift, highlighting the role of unbounded and bounded states.
Findings
Strong entanglement develops during drift under resonant AC field.
Partial entanglement is limited by anti-correlated unbounded states.
Drift velocity shows non-monotonic dependence on interaction strength.
Abstract
We show that initially localized and uncorrelated two-particles quantum wavepackets evolving in a one-dimensional discrete lattice become strongly entangled while drifting under the action of an harmonic AC field resonant with doubled Bloch oscillations promoted by a static DC field. Although partial entanglement is achieved when the AC field is resonant with the single-particle Bloch oscillations, it is strongly limited by the survival of anti-correlated unbounded states. We further show that the phase dependence of the wavepacket centroid velocity is similar to the semiclassical behavior depicted by a single-particle. However, the drift velocity exhibits a non-trivial non-monotonic dependence on the interaction strength, vanishing in the limit of uncorrelated particles, that unveils its competing influence on unbounded and bounded states.
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