Adrian Del Maestro, Hatem Barghathi and Bernd Rosenow arXiv:1912.09947
The time evolution of an initial quantum state after a sudden change of interaction strength leads to an asymptotic steady state, whose local properties are governed by the buildup of entanglement between spatial subregions of the system. Little is known about the simultaneous evolution of entanglement between groups of particles, which is based on n-point correlation functions. We analyze fermions after an interaction quantum quench in one spatial dimension and demonstrate that the steady state entropy density accumulated via entanglement dynamics is equivalent under either a spatial or particle bipartition. Building on this connection, we find that experimentally accessible density-density correlations can be employed to construct a diagonal ensemble density matrix of non-interacting bosons to compute the von Neumann entropy density, complementary to measurements of Renyi entropies. Our results highlight the universality of the dynamical transmutation of entanglement to thermodynamic entropy under time evolution that underlies our current framework of quantum statistical mechanics.
This repository includes links, code, scripts, and data to generate the figures in a paper.
The data in this project was generated via exact diagonalization. Everything included in the data directory was generated via:
The creation of these materials was supported in part by the National Science Foundation under Award No. DMR-1553991.
This figure is relesed under CC BY-SA 4.0 and can be freely copied, redistributed and remixed.
