Extension of the Generalized Hydrodynamics to the Dimensional Crossover Regime

Møller, Frederik Trier; Li, Chen; Mazets, I. E.; Stimming, Hans-Peter; Zhou, Tianwei; Zhu, Zijie; Chen, Xuzong; Schmiedmayer, Jörg

doi:10.1103/physrevlett.126.090602

Cited by 62 publications

(68 citation statements)

References 91 publications

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“…[37], where the formulas for two-point functions have been tested again numerical simulations of the microscopic hard-rod dynamics, we expect the expression for G(s, x, t) in Eqs. (43) and (47) to apply for smooth initial inhomogeneities, large enough z in Eq. (9), and long times.…”

Section: Scgf For Inhomogeneous Gges: Statement Of the Resultsmentioning

confidence: 99%

“…Fundamentally, the latter modification still produces a (inhomogeneous) GGE, whose s-dependence can be determined exactly in terms of the flow equation in Eqs. (44) and (47).…”

Section: Scgf For Inhomogeneous Gges: Derivation Of the Resultsmentioning

confidence: 99%

“…Accordingly, the only step which has not yet been pursued in the literature, so far, is the numerical solution of the flow equation in Eq. (47). This passage can be achieved by writing Eq.…”

Section: Scgf For Inhomogeneous Gges: Derivation Of the Resultsmentioning

confidence: 99%

“…(32) and (33) of the general expression given by Eqs. (43) and (47). The first cumulants provide important information about the shape of the probability distribution of J i * = ∆q i * /t and they are the easiest to access experimentally.…”

Section: Analysis Of the Cumulantsmentioning

confidence: 99%

“…[14,15,[17][18][19][20][21][22][23][24][25], has been to the study of ballistic transport from the partitioning protocol initial inhomogeneous state, but the versatility of GHD allows to study various inhomogeneous setups such as the effect of confining potentials [26,27], bump-release protocols [28,29], correlation functions [30][31][32] and entanglement spreading [33][34][35][36][37]. Remarkably, the formalism can also be used to study nonintegrable systems, provided the integrability breaking is weak enough so that on large enough length and time scales, the conserved charges may be assumed not to be broken [26,[38][39][40][41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

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Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems

Perfetto

Doyon

2021

SciPost Phys.

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We derive an exact formula for the scaled cumulant generating function of the time-integrated current associated to an arbitrary ballistically transported conserved charge. Our results rely on the Euler-scale description of interacting, many-body, integrable models out of equilibrium given by the generalized hydrodynamics, and on the large deviation theory. Crucially, our findings extend previous studies by accounting for inhomogeneous and dynamical initial states in interacting systems. We present exact expressions for the first three cumulants of the time-integrated current. Considering the non-interacting limit of our general expression for the scaled cumulant generating function, we further show that for the partitioning protocol initial state our result coincides with previous results of the literature. Given the universality of the generalized hydrodynamics, the expression obtained for the scaled cumulant generating function is applicable to any interacting integrable model obeying the hydrodynamic equations, both classical and quantum.

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Section: Scgf For Inhomogeneous Gges: Statement Of the Resultsmentioning

confidence: 99%

“…Fundamentally, the latter modification still produces a (inhomogeneous) GGE, whose s-dependence can be determined exactly in terms of the flow equation in Eqs. (44) and (47).…”

Section: Scgf For Inhomogeneous Gges: Derivation Of the Resultsmentioning

confidence: 99%

Section: Scgf For Inhomogeneous Gges: Derivation Of the Resultsmentioning

confidence: 99%

Section: Analysis Of the Cumulantsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems

Perfetto

Doyon

2021

SciPost Phys.

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The theory of generalised hydrodynamics for the one-dimensional Bose gas

Kerr,

Kheruntsyan

2023

AAPPS Bull.

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This article reviews the recent developments in the theory of generalised hydrodynamics (GHD) with emphasis on the repulsive one-dimensional Bose gas. We discuss the implications of GHD on the mechanisms of thermalisation in integrable quantum many-body systems as well as its ability to describe far-from-equilibrium behaviour of integrable and near-integrable systems in a variety of quantum quench scenarios. We outline the experimental tests of GHD in cold-atom gases and its benchmarks with other microscopic theoretical approaches. Finally, we offer some perspectives on the future direction of the development of GHD.

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