A note on generalized hydrodynamics: inhomogeneous fields and other concepts

作者: Benjamin Doyon , Takato Yoshimura

DOI: 10.21468/SCIPOSTPHYS.2.2.014

关键词:

摘要: Generalized hydrodynamics (GHD) was proposed recently as a formulation of for integrable systems, taking into account infinitely-many conservation laws. In this note we further develop the theory in various directions. By extending GHD to all commuting flows model, provide full description how take weakly varying force fields, temperature fields and other inhomogeneous external within GHD. We expect can be used, instance, characterize non-equilibrium dynamics one-dimensional Bose gases trap potentials. show equations state at core follow from continuity relation entropy, recover Euler-like discuss possible viscosity terms.

参考文章(49)
E. Bettelheim, Alexander G. Abanov, P. Wiegmann, Nonlinear quantum shock waves in fractional quantum Hall edge states. Physical Review Letters. ,vol. 97, pp. 246401- ,(2006) , 10.1103/PHYSREVLETT.97.246401
Shin-ichi Sasa, Derivation of hydrodynamics from the Hamiltonian description of particle systems. Physical Review Letters. ,vol. 112, pp. 100602- ,(2014) , 10.1103/PHYSREVLETT.112.100602
Toshiya Kinoshita, Trevor Wenger, David S. Weiss, A quantum Newton's cradle Nature. ,vol. 440, pp. 900- 903 ,(2006) , 10.1038/NATURE04693
Immanuel Bloch, Jean Dalibard, Wilhelm Zwerger, Many-Body Physics with Ultracold Gases Reviews of Modern Physics. ,vol. 80, pp. 885- 964 ,(2008) , 10.1103/REVMODPHYS.80.885
Mario Collura, Dragi Karevski, Quantum quench from a thermal tensor state: Boundary effects and generalized Gibbs ensemble Physical Review B. ,vol. 89, pp. 214308- ,(2014) , 10.1103/PHYSREVB.89.214308
M. J. Bhaseen, Benjamin Doyon, Andrew Lucas, Koenraad Schalm, Energy flow in quantum critical systems far from equilibrium Nature Physics. ,vol. 11, pp. 509- 514 ,(2015) , 10.1038/NPHYS3320
C. Boldrighini, Y.M. Suhov, One-Dimensional Hard-Rod Caricature of Hydrodynamics: “Navier–Stokes Correction” for Local Equilibrium Initial States Communications in Mathematical Physics. ,vol. 189, pp. 577- 590 ,(1997) , 10.1007/S002200050218
Sangyong Jeon, Laurence G. Yaffe, From quantum field theory to hydrodynamics: Transport coefficients and effective kinetic theory. Physical Review D. ,vol. 53, pp. 5799- 5809 ,(1996) , 10.1103/PHYSREVD.53.5799