Measuring von Neumann entanglement entropies without wave functions
- We present a method to measure the von Neumann entanglement entropy of ground states of quantum many-body systems which does not require access to the system wave function. The technique is based on a direct thermodynamic study of lattice entanglement Hamiltonians—recently proposed in the paper [Dalmonte et al 2018 Nat. Phys. 14 827] via field theoretical insights—and can be performed by quantum Monte Carlo methods. We benchmark our technique on critical quantum spin chains, and apply it to several two-dimensional quantum magnets, where we are able to unambiguously determine the onset of area law in the entanglement entropy, the number of Goldstone bosons, and to check a recent conjecture on geometric entanglement contribution at critical points described by strongly coupled field theories. The protocol can also be adapted to measure entanglement in experiments via quantum quenches.
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| Author: | Tiago Mendes-SantosORCiDGND, G. Giudici, R. Fazio, M. Dalmonte |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1095086 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/109508 |
| ISSN: | 1367-2630OPAC |
| Parent Title (English): | New Journal of Physics |
| Publisher: | IOP Publishing |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2020 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/11/27 |
| Tag: | General Physics and Astronomy |
| Volume: | 22 |
| Issue: | 1 |
| First Page: | 013044 |
| DOI: | https://doi.org/10.1088/1367-2630/ab6875 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik III | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Licence (German): |  CC-BY 3.0: Creative Commons - Namensnennung (mit Print on Demand) |
