Bridging Effective Field Theories and Generalized Hydrodynamics

Møller, Frederik Trier; Erne, Sebastian; Mauser, Norbert J.; Schmiedmayer, Jörg; Mazets, I. E.

doi:10.48550/arxiv.2205.15871

Cited by 1 publication

(2 citation statements)

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“…Recently, more subtle GHD for the systems with inhomogeneous trapping potentials, quantum fluctuations and diffusion were studied theoretically [79][80][81][82][83][84][85][86][87][88][89][90]111] and experimentally [74][75][76][77][78].…”

Section: Generalized Hydrodynamics Of Integrable Systemsmentioning

confidence: 99%

“…In particular, the experimental observation of the quantum Newton's cradle [68] raised a significant question for theory and experiment: can the evolution of isolated quantum integrable systems of many particles converge into its equilibrium Gibbs thermal state? Seeking for an understanding of such a subtlety of quantum dynamics of quantum integrable models leads to new developments of the generalized Gibbs ensemble (GGE) [69,70] and generalized hydrodynamics (GHD) [71,72], which have become a promising theme in theory and experiment with 1D ultracold atoms [73][74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90].…”

Section: Introductionmentioning

confidence: 99%

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New trends in quantum integrability: recent experiments with ultracold atoms

Guan

2022

Rep. Prog. Phys.

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Over the past two decades quantum engineering has made significant advances in our ability to create genuine quantum many-body systems using ultracold atoms. In particular, some prototypical exactly solvable Yang-Baxter systems have been successfully realized allowing us to confront elegant and sophisticated exact solutions of these systems with their experimental counterparts. The new experimental developments show a variety of fundamental one-dimensional (1D) phenomena, ranging from the generalized hydrodynamics to dynamical fermionization, Tomonaga-Luttinger liquids, collective excitations, fractional exclusion statistics, quantum holonomy, spin-charge separation, competing orders with high spin symmetry and quantum impurity problems. This article briefly reviews these developments and provides rigorous understanding of those observed phenomena based on the exact solutions while highlighting the uniqueness of 1D quantum physics. The precision of atomic physics realizations of integrable many-body problems continues to inspire significant developments in mathematics and physics while at the same time offering the prospect to contribute to future quantum technology.

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