Laboratoire de Physique Théorique
Toulouse - UMR 5152

I will briefly introduce “Generalized Hydrodynamics”, the hydrodynamic description of one-dimensional integrable systems [1,2], and review the experimental results [3,4] obtained by the groups of I. Bouchoule in Palaiseau and D. Weiss in Penn State. One important experimental effect not taken into account in GHD is the atom losses : I will discuss perspectives on how to include these [5,6,7].

[1] O. Castro-Alvaredo, B. Doyon, T. Yoshimura, “Emergent hydrodynamics in integrable quantum systems out of equilibrium", Phys. Rev. X 6, 041065 (2016)

[2] B. Bertini, M. Collura, J. de Nardis, M. Fagotti, “Transport in Out-of-Equilibrium XXZ Chains : Exact Profiles of Charges and Currents", Phys. Rev. Lett. 117, 207201 (2016)

[3] M. Schemmer, I. Bouchoule, B. Doyon, J. Dubail, “Generalized Hydrodynamics on an Atom Chip”, Phys. Rev. Lett. 122, 090601 (2019)

[4] N. Malvania, Y. Zhang, Y. Le, J. Dubail, M. Rigol, D. Weiss, “Quantum Generalized Hydrodynamics", Science 373, 1129 (2021)

[5] I. Bouchoule, B. Doyon, J. Dubail, “The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas”, SciPost Phys. 9, 044 (2020)

[6] A. Hutsalyuk, B. Pozsgay, “Integrability breaking in the one dimensional Bose gas : Atomic losses and energy loss”, Phys. Rev. E 103, 042121 (2021)

[7] I. Bouchoule and J. Dubail, "Breakdown of Tan’s relation in lossy one-dimensional Bose gases", Phys. Rev. Lett. 126, 160603 (2021)