Tensor-network approach to work statistics for one-dimensional quantum lattice systems
We introduce a tensor-network approach to calculate the statistics of work done on one-dimensional quantum lattice systems initially prepared in thermal equilibrium states. In this approach, the dynamics is simulated with time-evolving block decimation (TEBD), and the initial thermal equilibrium sta...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.033193 |
| _version_ | 1827285408540524544 |
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| author | Jiayin Gu Fan Zhang H. T. Quan |
| author_facet | Jiayin Gu Fan Zhang H. T. Quan |
| author_sort | Jiayin Gu |
| collection | DOAJ |
| description | We introduce a tensor-network approach to calculate the statistics of work done on one-dimensional quantum lattice systems initially prepared in thermal equilibrium states. In this approach, the dynamics is simulated with time-evolving block decimation (TEBD), and the initial thermal equilibrium state is prepared either directly with TEBD or with minimally entangled typical thermal states, which generates a set of typical states representing the Gibbs canonical ensemble. As an illustrative example, we apply this approach to the Ising chain in mixed transverse and longitudinal fields. Under a prescribed protocol, the moment generating function for work distribution can be calculated, from which the quantum Jarzynski equality and the generalized quantum work relation involving a functional of an arbitrary observable are tested. |
| first_indexed | 2024-04-24T10:14:10Z |
| format | Article |
| id | doaj.art-99e28c4936044c7ca3562fe4233b6325 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:14:10Z |
| publishDate | 2022-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-99e28c4936044c7ca3562fe4233b63252024-04-12T17:24:23ZengAmerican Physical SocietyPhysical Review Research2643-15642022-09-014303319310.1103/PhysRevResearch.4.033193Tensor-network approach to work statistics for one-dimensional quantum lattice systemsJiayin GuFan ZhangH. T. QuanWe introduce a tensor-network approach to calculate the statistics of work done on one-dimensional quantum lattice systems initially prepared in thermal equilibrium states. In this approach, the dynamics is simulated with time-evolving block decimation (TEBD), and the initial thermal equilibrium state is prepared either directly with TEBD or with minimally entangled typical thermal states, which generates a set of typical states representing the Gibbs canonical ensemble. As an illustrative example, we apply this approach to the Ising chain in mixed transverse and longitudinal fields. Under a prescribed protocol, the moment generating function for work distribution can be calculated, from which the quantum Jarzynski equality and the generalized quantum work relation involving a functional of an arbitrary observable are tested.http://doi.org/10.1103/PhysRevResearch.4.033193 |
| spellingShingle | Jiayin Gu Fan Zhang H. T. Quan Tensor-network approach to work statistics for one-dimensional quantum lattice systems Physical Review Research |
| title | Tensor-network approach to work statistics for one-dimensional quantum lattice systems |
| title_full | Tensor-network approach to work statistics for one-dimensional quantum lattice systems |
| title_fullStr | Tensor-network approach to work statistics for one-dimensional quantum lattice systems |
| title_full_unstemmed | Tensor-network approach to work statistics for one-dimensional quantum lattice systems |
| title_short | Tensor-network approach to work statistics for one-dimensional quantum lattice systems |
| title_sort | tensor network approach to work statistics for one dimensional quantum lattice systems |
| url | http://doi.org/10.1103/PhysRevResearch.4.033193 |
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