Many body integrable systems allow the calculation of the equilibrium spectrum through a set of equations called "thermodynamic Bethe ansatz"(TBA). In particular, the macroscopic quantity encoding the informations about the spectrum is the socalled root density. A recent theoretical development is Generalized Hydrodynamics(GHD) which provides exact equations for the time evolution of the root density. The prototypical setup in which these equations are tested is the quantum quench, i.e. a sudden change of some parameter of the Hamiltonian (typically related to the external potential). The goal of the thesis is to develop numerical simulation for the time evolution of singlecomponent and multicomponent gases.
Many body integrable systems allow the calculation of the equilibrium spectrum through a set of equations called "thermodynamic Bethe ansatz"(TBA). In particular, the macroscopic quantity encoding the informations about the spectrum is the socalled root density. A recent theoretical development is Generalized Hydrodynamics(GHD) which provides exact equations for the time evolution of the root density. The prototypical setup in which these equations are tested is the quantum quench, i.e. a sudden change of some parameter of the Hamiltonian (typically related to the external potential). The goal of the thesis is to develop numerical simulation for the time evolution of singlecomponent and multicomponent gases.
Out of equilibrium thermodynamics in multicomponent exact models
BROLLO, ALBERTO
2021/2022
Abstract
Many body integrable systems allow the calculation of the equilibrium spectrum through a set of equations called "thermodynamic Bethe ansatz"(TBA). In particular, the macroscopic quantity encoding the informations about the spectrum is the socalled root density. A recent theoretical development is Generalized Hydrodynamics(GHD) which provides exact equations for the time evolution of the root density. The prototypical setup in which these equations are tested is the quantum quench, i.e. a sudden change of some parameter of the Hamiltonian (typically related to the external potential). The goal of the thesis is to develop numerical simulation for the time evolution of singlecomponent and multicomponent gases.File  Dimensione  Formato  

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https://hdl.handle.net/20.500.12608/41603