Real-time scattering of interacting quasiparticles in quantum spin chains
We develop a method based on tensor networks to create localized single-particle excitations on top of strongly correlated quantum spin chains. In analogy to the problem of creating localized Wannier modes, this is achieved by optimizing the gauge freedom of momentum excitations on top of matrix pro...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.013078 |
| _version_ | 1797211125513715712 |
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| author | Maarten Van Damme Laurens Vanderstraeten Jacopo De Nardis Jutho Haegeman Frank Verstraete |
| author_facet | Maarten Van Damme Laurens Vanderstraeten Jacopo De Nardis Jutho Haegeman Frank Verstraete |
| author_sort | Maarten Van Damme |
| collection | DOAJ |
| description | We develop a method based on tensor networks to create localized single-particle excitations on top of strongly correlated quantum spin chains. In analogy to the problem of creating localized Wannier modes, this is achieved by optimizing the gauge freedom of momentum excitations on top of matrix product states. The corresponding wave packets propagate almost dispersionlessly. The time-dependent variational principle is used to scatter two such wave packets, and we extract the phase shift from the collision data. We also study reflection and transmission coefficients of a wave packet impinging on an impurity. |
| first_indexed | 2024-04-24T10:21:31Z |
| format | Article |
| id | doaj.art-5265901de9fd48b2bed069d93f67ff49 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:21:31Z |
| publishDate | 2021-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-5265901de9fd48b2bed069d93f67ff492024-04-12T17:06:41ZengAmerican Physical SocietyPhysical Review Research2643-15642021-01-013101307810.1103/PhysRevResearch.3.013078Real-time scattering of interacting quasiparticles in quantum spin chainsMaarten Van DammeLaurens VanderstraetenJacopo De NardisJutho HaegemanFrank VerstraeteWe develop a method based on tensor networks to create localized single-particle excitations on top of strongly correlated quantum spin chains. In analogy to the problem of creating localized Wannier modes, this is achieved by optimizing the gauge freedom of momentum excitations on top of matrix product states. The corresponding wave packets propagate almost dispersionlessly. The time-dependent variational principle is used to scatter two such wave packets, and we extract the phase shift from the collision data. We also study reflection and transmission coefficients of a wave packet impinging on an impurity.http://doi.org/10.1103/PhysRevResearch.3.013078 |
| spellingShingle | Maarten Van Damme Laurens Vanderstraeten Jacopo De Nardis Jutho Haegeman Frank Verstraete Real-time scattering of interacting quasiparticles in quantum spin chains Physical Review Research |
| title | Real-time scattering of interacting quasiparticles in quantum spin chains |
| title_full | Real-time scattering of interacting quasiparticles in quantum spin chains |
| title_fullStr | Real-time scattering of interacting quasiparticles in quantum spin chains |
| title_full_unstemmed | Real-time scattering of interacting quasiparticles in quantum spin chains |
| title_short | Real-time scattering of interacting quasiparticles in quantum spin chains |
| title_sort | real time scattering of interacting quasiparticles in quantum spin chains |
| url | http://doi.org/10.1103/PhysRevResearch.3.013078 |
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