Evaluation of ranks of real space and particle entanglement spectra for large systems.
We devise a way to calculate the dimensions of symmetry sectors appearing in the particle entanglement spectrum (PES) and real space entanglement spectrum (RSES) of multiparticle systems from their real space wave functions. We first note that these ranks in the entanglement spectra equal the dimens...
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| Format: | Journal article |
| Sprache: | English |
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2012
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| _version_ | 1826289063733231616 |
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| author | Rodríguez, I Simon, S Slingerland, J |
| author_facet | Rodríguez, I Simon, S Slingerland, J |
| author_sort | Rodríguez, I |
| collection | OXFORD |
| description | We devise a way to calculate the dimensions of symmetry sectors appearing in the particle entanglement spectrum (PES) and real space entanglement spectrum (RSES) of multiparticle systems from their real space wave functions. We first note that these ranks in the entanglement spectra equal the dimensions of spaces of wave functions with a number of particles fixed. This also yields equality of the multiplicities in the PES and the RSES. Our technique allows numerical calculations for much larger systems than were previously feasible. For somewhat smaller systems, we can find approximate entanglement energies as well as multiplicities. We illustrate the method with results on the RSES and PES multiplicities for integer quantum Hall states, Laughlin and Jain composite fermion states, and for the Moore-Read state at filling ν = 5/2 for system sizes up to 70 particles. |
| first_indexed | 2024-03-07T02:23:12Z |
| format | Journal article |
| id | oxford-uuid:a4ab3ad6-e20e-49d5-a2af-7622ffc552ac |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:23:12Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:a4ab3ad6-e20e-49d5-a2af-7622ffc552ac2022-03-27T02:35:21ZEvaluation of ranks of real space and particle entanglement spectra for large systems.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a4ab3ad6-e20e-49d5-a2af-7622ffc552acEnglishSymplectic Elements at Oxford2012Rodríguez, ISimon, SSlingerland, JWe devise a way to calculate the dimensions of symmetry sectors appearing in the particle entanglement spectrum (PES) and real space entanglement spectrum (RSES) of multiparticle systems from their real space wave functions. We first note that these ranks in the entanglement spectra equal the dimensions of spaces of wave functions with a number of particles fixed. This also yields equality of the multiplicities in the PES and the RSES. Our technique allows numerical calculations for much larger systems than were previously feasible. For somewhat smaller systems, we can find approximate entanglement energies as well as multiplicities. We illustrate the method with results on the RSES and PES multiplicities for integer quantum Hall states, Laughlin and Jain composite fermion states, and for the Moore-Read state at filling ν = 5/2 for system sizes up to 70 particles. |
| spellingShingle | Rodríguez, I Simon, S Slingerland, J Evaluation of ranks of real space and particle entanglement spectra for large systems. |
| title | Evaluation of ranks of real space and particle entanglement spectra for large systems. |
| title_full | Evaluation of ranks of real space and particle entanglement spectra for large systems. |
| title_fullStr | Evaluation of ranks of real space and particle entanglement spectra for large systems. |
| title_full_unstemmed | Evaluation of ranks of real space and particle entanglement spectra for large systems. |
| title_short | Evaluation of ranks of real space and particle entanglement spectra for large systems. |
| title_sort | evaluation of ranks of real space and particle entanglement spectra for large systems |
| work_keys_str_mv | AT rodriguezi evaluationofranksofrealspaceandparticleentanglementspectraforlargesystems AT simons evaluationofranksofrealspaceandparticleentanglementspectraforlargesystems AT slingerlandj evaluationofranksofrealspaceandparticleentanglementspectraforlargesystems |