Correlation density matrix : an unbiased analysis of exact diagonalizations
Given the ground-state wave function for an interacting lattice model, we define a “correlation density matrix” (CDM) for two disjoint separated clusters A and B to be the density matrix of their union minus the direct product of their respective density matrices. The CDM can be decomposed systemati...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2009
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| Online Access: | https://hdl.handle.net/10356/91825 http://hdl.handle.net/10220/6108 |
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| author | Henley, Christopher L. Cheong, Siew Ann |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Henley, Christopher L. Cheong, Siew Ann |
| author_sort | Henley, Christopher L. |
| collection | NTU |
| description | Given the ground-state wave function for an interacting lattice model, we define a “correlation density matrix” (CDM) for two disjoint separated clusters A and B to be the density matrix of their union minus the direct product of their respective density matrices. The CDM can be decomposed systematically by a numerical singular-value decomposition to provide a systematic and unbiased way to identify the operator(s) dominating the correlations, even unexpected ones. |
| first_indexed | 2024-10-01T05:18:34Z |
| format | Journal Article |
| id | ntu-10356/91825 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:18:34Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | ntu-10356/918252023-02-28T19:31:59Z Correlation density matrix : an unbiased analysis of exact diagonalizations Henley, Christopher L. Cheong, Siew Ann School of Physical and Mathematical Sciences DRNTU::Science::Physics::Atomic physics::Solid state physics Given the ground-state wave function for an interacting lattice model, we define a “correlation density matrix” (CDM) for two disjoint separated clusters A and B to be the density matrix of their union minus the direct product of their respective density matrices. The CDM can be decomposed systematically by a numerical singular-value decomposition to provide a systematic and unbiased way to identify the operator(s) dominating the correlations, even unexpected ones. Published version 2009-10-01T04:02:05Z 2019-12-06T18:12:35Z 2009-10-01T04:02:05Z 2019-12-06T18:12:35Z 2009 2009 Journal Article Cheong, S. A., & Henley, C. L. (2009). Correlation density matrix : an unbiased analysis of exact diagonalizations. Physical Review B, 79. 1098-0121 https://hdl.handle.net/10356/91825 http://hdl.handle.net/10220/6108 10.1103/PhysRevB.79.212402 en Physical review B Physical Review B © copyright 2009 The American Physical Society. The journal's website is located at http://link.aps.org/doi/10.1103/PhysRevB.79.212402. 4 p. application/pdf |
| spellingShingle | DRNTU::Science::Physics::Atomic physics::Solid state physics Henley, Christopher L. Cheong, Siew Ann Correlation density matrix : an unbiased analysis of exact diagonalizations |
| title | Correlation density matrix : an unbiased analysis of exact diagonalizations |
| title_full | Correlation density matrix : an unbiased analysis of exact diagonalizations |
| title_fullStr | Correlation density matrix : an unbiased analysis of exact diagonalizations |
| title_full_unstemmed | Correlation density matrix : an unbiased analysis of exact diagonalizations |
| title_short | Correlation density matrix : an unbiased analysis of exact diagonalizations |
| title_sort | correlation density matrix an unbiased analysis of exact diagonalizations |
| topic | DRNTU::Science::Physics::Atomic physics::Solid state physics |
| url | https://hdl.handle.net/10356/91825 http://hdl.handle.net/10220/6108 |
| work_keys_str_mv | AT henleychristopherl correlationdensitymatrixanunbiasedanalysisofexactdiagonalizations AT cheongsiewann correlationdensitymatrixanunbiasedanalysisofexactdiagonalizations |