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This research presents a generalized hydrodynamic theory for Bloch oscillations in integrable quantum gases without a lattice, demonstrating that periodic dispersion effects persist even in continuum media with strong interactions. The study provides critical theoretical insights for ultracold atom experiments involving impurities and two-magnon bound states, advancing our understanding of fundamental quantum transport phenomena.
Generalized Hydrodynamics of Bloch Oscillations in the Absence of a Lattice
arXiv:2605.18957v2 Announce Type: replace-cross Abstract: Objects subjected to a constant force generally increase their velocity over time. This expectation fails whenever their energy is a smooth and periodic function of momentum, resulting in periodic Bloch oscillations instead. Periodic dispersions, typical of lattice systems, can also emerge in continuum media through strong interactions. Here, we study the phenomenon of such Bloch oscillations in the absence of a lattice in a paradigmatic model of integrable quantum gases: the two-component Yang-Gaudin model. We derive a generalized-hydrodynamic theory of Bloch oscillations for a finite density of impurities embedded in a homogeneous interacting background, which we show to persist superimposed to a drift due to the acceleration of the center of mass. Moreover, we show the single-impurity oscillation period is renormalized at finite impurity density when two-magnon bound states are populated. Our results are relevant for ultracold atom experiments, where impurities can be created at controllable densities.
Abstract:Objects subjected to a constant force generally increase their velocity over time. This expectation fails whenever their energy is a smooth and periodic function of momentum, resulting in periodic Bloch oscillations instead. Periodic dispersions, typical of lattice systems, can also emerge in continuum media through strong interactions. Here, we study the phenomenon of such Bloch oscillations in the absence of a lattice in a paradigmatic model of integrable quantum gases: the two-component Yang-Gaudin model. We derive a generalized-hydrodynamic theory of Bloch oscillations for a finite density of impurities embedded in a homogeneous interacting background, which we show to persist superimposed to a drift due to the acceleration of the center of mass. Moreover, we show the single-impurity oscillation period is renormalized at finite impurity density when two-magnon bound states are populated. Our results are relevant for ultracold atom experiments, where impurities can be created at controllable densities.
Quantum Gases (cond-mat.quant-gas); Statistical Mechanics (cond-mat.stat-mech); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph)
arXiv:2605.18957 [cond-mat.quant-gas]
(or arXiv:2605.18957v2 [cond-mat.quant-gas] for this version)
Phys. Rev. Lett. 137, 113404 (2026)
https://doi.org/10.1103/yfjc-r69d DOI(s) linking to related resources
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