Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume -, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2014/10/P10023
Keywords
correlation functions; correlation functions (theory); entanglement in extended quantum systems (theory)
Categories
Funding
- Agency of Science, Technology and Research of Singapore
- National Science Foundation [DMR-1151786]
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
Ask authors/readers for more resources
We propose an exact equivalence between the entanglement spectra of two completely different free-fermion systems at zero temperature. This equivalence follows from a position-momentum duality where the physical roles of the occupied band and real space projectors are exchanged. We examine the physical consequences of this duality in multi-band models and as an example also physically motivate the equivalence of the entanglement spectrum of a real space partitioned two-band topological insulator with that of a bilayer Fermi gas with an interlayer partition. This duality has an interesting relation with the Wannier Spectrum in the high-temperature limit and can also be extended to other basis-independent physical quantities like particle-number fluctuations.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available