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Peer-reviewedarXiv licencePhysical Review Letters

Generalized Hydrodynamics of Bloch Oscillations in the Absence of a Lattice

  • Stefano Scopa
  • Philip Zechmann
  • Michael Knap
  • Jacopo de Nardis
  • Alvise Bastianello
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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.

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Cite

BibTeXRIS
BibTeX
@article{scopa2026generalized,
  title = {{Generalized Hydrodynamics of Bloch Oscillations in the Absence of a Lattice}},
  author = {Stefano Scopa and Philip Zechmann and Michael Knap and Jacopo de Nardis and Alvise Bastianello},
  journal = {Physical Review Letters},
  year = {2026},
  month = sep,
  doi = {10.1103/yfjc-r69d},
  eprint = {2605.18957},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05769490v1},
}
RIS
TY  - JOUR
TI  - Generalized Hydrodynamics of Bloch Oscillations in the Absence of a Lattice
AU  - Stefano Scopa
AU  - Philip Zechmann
AU  - Michael Knap
AU  - Jacopo de Nardis
AU  - Alvise Bastianello
PY  - 2026
DA  - 2026/09/11
JO  - Physical Review Letters
DO  - 10.1103/yfjc-r69d
UR  - https://hal.science/hal-05769490v1
AB  - 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.
SN  - 0031-9007
SN  - 1079-7114
ER  -