Tensor network simulation of chains of non-Markovian open quantum systems
We introduce a general numerical method to compute the dynamics and multitime correlations of chains of quantum systems, where each system may couple strongly to a structured environment. The method combines the process tensor formalism for general (possibly non-Markovian) open quantum systems with...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.033078 |
| _version_ | 1797210455965433856 |
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| author | Gerald E. Fux Dainius Kilda Brendon W. Lovett Jonathan Keeling |
| author_facet | Gerald E. Fux Dainius Kilda Brendon W. Lovett Jonathan Keeling |
| author_sort | Gerald E. Fux |
| collection | DOAJ |
| description | We introduce a general numerical method to compute the dynamics and multitime correlations of chains of quantum systems, where each system may couple strongly to a structured environment. The method combines the process tensor formalism for general (possibly non-Markovian) open quantum systems with time-evolving block decimation for one-dimensional chains. It systematically reduces the numerical complexity originating from system-environment correlations before integrating them into the full many-body problem, making a wide range of applications numerically feasible. We illustrate the power of this method by studying two examples. First, we study the thermalization of individual spins of a short XYZ Heisenberg chain with strongly coupled thermal leads. Our results confirm the complete thermalization of the chain when coupled to a single bath, and they reveal distinct effective temperatures in low-, mid-, and high-frequency regimes when the chain is placed between a hot and a cold bath. Second, we study the dynamics of diffusion in a longer XY chain, when each site couples to its own bath. |
| first_indexed | 2024-04-24T10:10:53Z |
| format | Article |
| id | doaj.art-9c750267b9a141a0a2e6e4b6b269971a |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:10:53Z |
| publishDate | 2023-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-9c750267b9a141a0a2e6e4b6b269971a2024-04-12T17:33:00ZengAmerican Physical SocietyPhysical Review Research2643-15642023-08-015303307810.1103/PhysRevResearch.5.033078Tensor network simulation of chains of non-Markovian open quantum systemsGerald E. FuxDainius KildaBrendon W. LovettJonathan KeelingWe introduce a general numerical method to compute the dynamics and multitime correlations of chains of quantum systems, where each system may couple strongly to a structured environment. The method combines the process tensor formalism for general (possibly non-Markovian) open quantum systems with time-evolving block decimation for one-dimensional chains. It systematically reduces the numerical complexity originating from system-environment correlations before integrating them into the full many-body problem, making a wide range of applications numerically feasible. We illustrate the power of this method by studying two examples. First, we study the thermalization of individual spins of a short XYZ Heisenberg chain with strongly coupled thermal leads. Our results confirm the complete thermalization of the chain when coupled to a single bath, and they reveal distinct effective temperatures in low-, mid-, and high-frequency regimes when the chain is placed between a hot and a cold bath. Second, we study the dynamics of diffusion in a longer XY chain, when each site couples to its own bath.http://doi.org/10.1103/PhysRevResearch.5.033078 |
| spellingShingle | Gerald E. Fux Dainius Kilda Brendon W. Lovett Jonathan Keeling Tensor network simulation of chains of non-Markovian open quantum systems Physical Review Research |
| title | Tensor network simulation of chains of non-Markovian open quantum systems |
| title_full | Tensor network simulation of chains of non-Markovian open quantum systems |
| title_fullStr | Tensor network simulation of chains of non-Markovian open quantum systems |
| title_full_unstemmed | Tensor network simulation of chains of non-Markovian open quantum systems |
| title_short | Tensor network simulation of chains of non-Markovian open quantum systems |
| title_sort | tensor network simulation of chains of non markovian open quantum systems |
| url | http://doi.org/10.1103/PhysRevResearch.5.033078 |
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