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Journal Club for Condensed Matter Physics

Generalized Hydrodynamics for integrable systems

Thierry Giamarchi

Published Jul 31, 2021• 0 citations
Publisher

Abstract

1. Generalized hydrodynamics in strongly interacting 1D Bose gases Authors: Neel Malvania, Yicheng Zhang, Yuan Le, Jerome Dubail, Marcos Rigol, and David S. Weiss arXiv:2009.06651 2. Generalized HydroDynamics on an Atom Chip Authors: Max Schemmer, Isabelle Bouchoule, Benjamin Doyon, and Jerome Dubail Phys. Rev. Lett. 122, 090601 (2019); DOI: 10.1103/PhysRevLett.122.090601 arXiv:1810.07170 Recommended with a commentary […]

DOI
10.36471/jccm_july_2021_01

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  1. Generalized hydrodynamics in strongly interacting 1D Bose gases Authors: Neel Malvania, Yicheng Zhang, Yuan Le, Jerome Dubail, Marcos Rigol, and David S. Weiss arXiv:2009.06651 2. Generalized HydroDynamics on an Atom Chip Authors: Max Schemmer, Isabelle Bouchoule, Benjamin Doyon, and Jerome Dubail Phys. Rev. Lett. 122, 090601 (2019); DOI: 10.1103/PhysRevLett.122.090601 arXiv:1810.07170 Recommended with a commentary […]
The emergence of a special type of fluidlike behavior at large scales in one-dimensional (1D) quantum integrable systems, theoretically predicted in O. A. Castro-Alvaredo et al., Emergent Hydrodynamics in Integrable Quantum Systems Out of Equilibrium, Phys. Rev. X 6, 041065 (2016)10.1103/PhysRevX.6.041065 and B. Bertini et al., Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents, Phys. Rev. Lett. 117, 207201 (2016)10.1103/PhysRevLett.117.207201, is established experimentally, by monitoring the time evolution of the in situ density profile of a single 1D cloud of ^{87}Rb atoms trapped on an atom chip after a quench of the longitudinal trapping potential. The theory can be viewed as a dynamical extension of the thermodynamics of Yang and Yang, and applies to the whole range of repulsive interaction strength and temperature of the gas. The measurements, performed on weakly interacting atomic clouds that lie at the crossover between the quasicondensate and the ideal Bose gas regimes, are in very good agreement with the theory. This contrasts with the previously existing "conventional" hydrodynamic approach-that relies on the assumption of local thermal equilibrium-which is unable to reproduce the experimental data.
The dynamics of strongly interacting many-body quantum systems are notoriously complex and difficult to simulate. A recently proposed theory called generalized hydrodynamics (GHD) promises to efficiently accomplish such simulations for nearly integrable systems. We test GHD with bundles of ultracold one-dimensional (1D) Bose gases by performing large trap quenches in both the strong and intermediate coupling regimes. We find that theory and experiment agree well over dozens of trap oscillations, for average dimensionless coupling strengths that range from 0.3 to 9.3. Our results show that GHD can accurately describe the quantum dynamics of a 1D nearly integrable experimental system even when particle numbers are low and density changes are large and fast.