Related papers: Structure of the Hamiltonian of mean force

Structure of the Hamiltonian of mean force

URL: http://arxiv.org/abs/2311.10427v2
Date: Tue, 9 Jul 2024 12:00:31 GMT
Title: Structure of the Hamiltonian of mean force
Authors: Phillip C. Burke, Goran Nakerst, Masudul Haque,
Abstract summary: Hamiltonian of mean force is an effective Hamiltonian that allows a quantum system, non-weakly coupled to an environment, to be written in an effective Gibbs state. We present results on the structure of the Hamiltonian of mean force in extended quantum systems with local interactions.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The Hamiltonian of mean force is an effective Hamiltonian that allows a quantum system, non-weakly coupled to an environment, to be written in an effective Gibbs state. We present results on the structure of the Hamiltonian of mean force in extended quantum systems with local interactions. We show that its spatial structure exhibits a ``skin effect'' -- its difference from the system Hamiltonian dies off exponentially with distance from the system-environment boundary. For spin systems, we identify the terms that can appear in the Hamiltonian of mean force at different orders in the inverse temperature.

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