Validating Phase-Space Methods with Tensor Networks in Two-Dimensional Spin Models with Power-Law Interactions

Autor(en)

Sean R. Muleady, Mingru Yang, Steven R. White, Ana Maria Rey

Abstrakt

Using a recently developed extension of the time-dependent variational principle for matrix product states, we evaluate the dynamics of 2D power-law interacting XXZ models, implementable in a variety of state-of-the-art experimental platforms. We compute the spin squeezing as a measure of correlations in the system, and compare to semiclassical phase-space calculations utilizing the discrete truncated Wigner approximation (DTWA). We find the latter efficiently and accurately captures the scaling of entanglement with system size in these systems, despite the comparatively resource-intensive tensor network representation of the dynamics. We also compare the steady-state behavior of DTWA to thermal ensemble calculations with tensor networks. Our results open a way to benchmark dynamical calculations for two-dimensional quantum systems, and allow us to rigorously validate recent predictions for the generation of scalable entangled resources for metrology in these systems.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

University of Colorado, Boulder, University of California, Irvine

Journal

Physical Review Letters

Band

131

Anzahl der Seiten

7

ISSN

0031-9007

DOI

https://doi.org/10.48550/arXiv.2305.17242

Publikationsdatum

10-2023

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103029 Statistische Physik

ASJC Scopus Sachgebiete

Allgemeine Physik und Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/30612fa6-d653-40af-9295-ec45499e9d90