Density of States of Quantum Spin Systems from Isotropic Entanglement
We propose a method that we call isotropic entanglement (IE), which predicts the eigenvalue distribution of quantum many body (spin) systems with generic interactions. We interpolate between two known approximations by matching fourth moments. Though such problems can be QMA-complete, our examples s...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/68629 https://orcid.org/0000-0001-7676-3133 https://orcid.org/0000-0002-4078-6752 |
| _version_ | 1811070009902891008 |
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| author | Movassagh, Ramis Edelman, Alan |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Movassagh, Ramis Edelman, Alan |
| author_sort | Movassagh, Ramis |
| collection | MIT |
| description | We propose a method that we call isotropic entanglement (IE), which predicts the eigenvalue distribution of quantum many body (spin) systems with generic interactions. We interpolate between two known approximations by matching fourth moments. Though such problems can be QMA-complete, our examples show that isotropic entanglement provides an accurate picture of the spectra well beyond what one expects from the first four moments alone. We further show that the interpolation is universal, i.e., independent of the choice of local terms. |
| first_indexed | 2024-09-23T08:20:39Z |
| format | Article |
| id | mit-1721.1/68629 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:20:39Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/686292022-09-30T09:07:22Z Density of States of Quantum Spin Systems from Isotropic Entanglement Movassagh, Ramis Edelman, Alan Massachusetts Institute of Technology. Department of Mathematics Edelman, Alan Movassagh, Ramis Edelman, Alan We propose a method that we call isotropic entanglement (IE), which predicts the eigenvalue distribution of quantum many body (spin) systems with generic interactions. We interpolate between two known approximations by matching fourth moments. Though such problems can be QMA-complete, our examples show that isotropic entanglement provides an accurate picture of the spectra well beyond what one expects from the first four moments alone. We further show that the interpolation is universal, i.e., independent of the choice of local terms. National Science Foundation (U.S.) (Grant No. CCF- 0829421) National Science Foundation (U.S.) (Grant No. DMS-1035400) 2012-01-23T16:18:18Z 2012-01-23T16:18:18Z 2011-08 2011-07 Article http://purl.org/eprint/type/JournalArticle 0031-9007 http://hdl.handle.net/1721.1/68629 Movassagh, Ramis, and Alan Edelman. “Density of States of Quantum Spin Systems from Isotropic Entanglement.” Physical Review Letters 107.9, 097205 (2011)[4 pages].© 2011 American Physical Society. https://orcid.org/0000-0001-7676-3133 https://orcid.org/0000-0002-4078-6752 en_US http://dx.doi.org/10.1103/PhysRevLett.107.097205 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Movassagh, Ramis Edelman, Alan Density of States of Quantum Spin Systems from Isotropic Entanglement |
| title | Density of States of Quantum Spin Systems from Isotropic Entanglement |
| title_full | Density of States of Quantum Spin Systems from Isotropic Entanglement |
| title_fullStr | Density of States of Quantum Spin Systems from Isotropic Entanglement |
| title_full_unstemmed | Density of States of Quantum Spin Systems from Isotropic Entanglement |
| title_short | Density of States of Quantum Spin Systems from Isotropic Entanglement |
| title_sort | density of states of quantum spin systems from isotropic entanglement |
| url | http://hdl.handle.net/1721.1/68629 https://orcid.org/0000-0001-7676-3133 https://orcid.org/0000-0002-4078-6752 |
| work_keys_str_mv | AT movassaghramis densityofstatesofquantumspinsystemsfromisotropicentanglement AT edelmanalan densityofstatesofquantumspinsystemsfromisotropicentanglement |