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We propose the Luttinger model with finite-range interactions as a simple tractable example in 1+1 dimensions to analytically study the emergence of Euler-scale hydrodynamics in a quantum many-body system.
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V. B. Bulchandani, R. Vasseur, C. Karrasch, and J. E. Moore, “Solvable hydrodynamics of quantum integrable systems,” Phys. Rev. Lett. 119
2017
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B. Doyon, H. Spohn, and T. Yoshimura, “A geometric viewpoint on generalized hydrodynamics,” Nucl. Phys. B 926
2017
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E. Langmann, J. L. Lebowitz, V. Mastropietro, and P. Moosavi, “Steady states and universal conductance in a quenched Luttinger model,” Commun. Math. Phys. 349
2017
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E. Langmann, J. L. Lebowitz, V. Mastropietro, and P. Moosavi, “Time evolution of the Luttinger model with nonuniform temperature profile,” Phys. Rev. B 95
2017
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V. B. Bulchandani, R. Vasseur, C. Karrasch, and J. E. Moore, “Bethe-Boltzmann hydrodynamics and spin transport in the X X Z XXZ chain,” Phys. Rev. B 97
2018
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B. Doyon, T. Yoshimura, and J.-S. Caux, “Soliton gases and generalized hydrodynamics,” Phys. Rev. Lett. 120
2018
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B. Bertini, L. Piroli, and P. Calabrese, “Universal broadening of the light cone in low-temperature transport,” Phys. Rev. Lett. 120
2018
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D.-L. Vu and T. Yoshimura, “Equations of state in generalized hydrodynamics,” SciPost Phys. 6
2019
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M. Schemmer, I. Bouchoule, B. Doyon, and J. Dubail, “Generalized hydrodynamics on an atom chip,” Phys. Rev. Lett. 122
2019
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B. Doyon, “Lecture notes on generalised hydrodynamics,” SciPost Phys. Lect. Notes 18 (2020), doi: 10.21468/SciPostPhysLectNotes.18
2020
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H. Spohn, “Generalized Gibbs ensembles of the classical Toda chain,” J. Stat. Phys. 180
2020
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2020
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M. Borsi, B. Pozsgay, and L. Pristyák, “Current operators in Bethe ansatz and generalized hydrodynamics: An exact quantum-classical correspondence,” Phys. Rev. X 10
2020
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P. Ruggiero, P. Calabrese, B. Doyon, and J. Dubail, “Quantum generalized hydrodynamics,” Phys. Rev. Lett. 124
2020
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K. Gawędzki, E. Langmann, and P. Moosavi, “Finite-time universality in nonequilibrium CFT,” J. Stat. Phys. 172
2025
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