The walk-sum method for simulating quantum many-body systems
We present the method of walk-sum to study the real-time dynamics of interacting quantum many-body systems. The walk-sum method generates explicit expressions for any desired pieces of an evolution operator U independently of any others. The computational cost for evaluating any such piece at a fixe...
| Main Authors: | , , |
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| Format: | Journal article |
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2012
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| _version_ | 1826299938882977792 |
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| author | Giscard, P Kiffner, M Jaksch, D |
| author_facet | Giscard, P Kiffner, M Jaksch, D |
| author_sort | Giscard, P |
| collection | OXFORD |
| description | We present the method of walk-sum to study the real-time dynamics of interacting quantum many-body systems. The walk-sum method generates explicit expressions for any desired pieces of an evolution operator U independently of any others. The computational cost for evaluating any such piece at a fixed order grows polynomially with the number of particles. Walk-sum is valid for systems presenting long-range interactions and in any geometry. We illustrate the method by means of two physical systems. |
| first_indexed | 2024-03-07T05:09:33Z |
| format | Journal article |
| id | oxford-uuid:db18cbd9-3e74-44d8-a234-8427f0b7d70a |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:09:33Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:db18cbd9-3e74-44d8-a234-8427f0b7d70a2022-03-27T09:07:56ZThe walk-sum method for simulating quantum many-body systemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:db18cbd9-3e74-44d8-a234-8427f0b7d70aSymplectic Elements at Oxford2012Giscard, PKiffner, MJaksch, DWe present the method of walk-sum to study the real-time dynamics of interacting quantum many-body systems. The walk-sum method generates explicit expressions for any desired pieces of an evolution operator U independently of any others. The computational cost for evaluating any such piece at a fixed order grows polynomially with the number of particles. Walk-sum is valid for systems presenting long-range interactions and in any geometry. We illustrate the method by means of two physical systems. |
| spellingShingle | Giscard, P Kiffner, M Jaksch, D The walk-sum method for simulating quantum many-body systems |
| title | The walk-sum method for simulating quantum many-body systems |
| title_full | The walk-sum method for simulating quantum many-body systems |
| title_fullStr | The walk-sum method for simulating quantum many-body systems |
| title_full_unstemmed | The walk-sum method for simulating quantum many-body systems |
| title_short | The walk-sum method for simulating quantum many-body systems |
| title_sort | walk sum method for simulating quantum many body systems |
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