Measuring the Entanglement of Fermions After an Interaction Quantum Quench
- Starts: 11:00 am on Friday, January 27, 2023
- Ends: 12:00 pm on Friday, January 27, 2023
Following a sudden change of interactions in a system of one-dimensional fermions, we analyze the growth and eventual asymptotic long-time value of the entanglement entropy under a spatial bipartition after the quantum quench. At small waiting times after the quench, we map the system to non-interacting bosons such that we are able to extract their occupation numbers from the Fourier transform of the density-density correlation function, and use these to compute a bosonic entropy from a diagonal ensemble. By comparing this bosonic entropy with the steady state entanglement entropy per fermion computed with exact diagonalization we find excellent agreement. These results open up a route to measuring entanglement in closed quantum systems of ultracold gases that only relies on the analysis of density-density correlations.
- SCI 352
- Anders Sandvik
- Adrian DelMaestro
- Univ of Tennessee