Energy spread and current-current correlation in quantum systems

Abstract

We consider energy (heat) transport in quantum systems, and establish a relationship between energy spread and energy current-current correlation function. The energy current-current correlation is related to thermal conductivity by the Green-Kubo formula, and thus this relationship allows us to study conductivity directly from the energy spread process. As an example, we investigate a spinless fermion model; the numerical results confirm the relationship.

5 pages, 2 figures

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• Finite-temperature transport in one-dimensional quantum lattice models
• Time-dependent variational principle in matrix-product state manifolds: pitfalls and potential
• Absence of dynamical localization in interacting driven systems
• Transport in Stark Many Body Localized Systems
• Proposal for measuring the finite-temperature Drude weight of integrable systems
• Real-Time Dynamics of Typical and Untypical States in Non-Integrable Systems
• Thermal conductivity of the one-dimensional Fermi-Hubbard model
• Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
• Magnetization dynamics in clean and disordered spin-1 XXZ chains
• Density dynamics in the mass-imbalanced Hubbard chain
• Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport