Group-theoretical approach to the calculation of quantum work distribution
Usually the calculation of work distributions in an arbitrary nonequilibrium process in a quantum system, especially in a quantum many-body system, is extremely cumbersome. For all quantum systems described by quadratic Hamiltonians, we propose a universal method for solving the work distribution of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2019-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.1.033175 |
| _version_ | 1797211605711192064 |
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| author | Zhaoyu Fei H. T. Quan |
| author_facet | Zhaoyu Fei H. T. Quan |
| author_sort | Zhaoyu Fei |
| collection | DOAJ |
| description | Usually the calculation of work distributions in an arbitrary nonequilibrium process in a quantum system, especially in a quantum many-body system, is extremely cumbersome. For all quantum systems described by quadratic Hamiltonians, we propose a universal method for solving the work distribution of quantum systems in an arbitrary driving process by utilizing the group-representation theory. This method enables us to efficiently calculate work distributions where previous methods fail. In some specific models, such as the time-dependent harmonic oscillator, the dynamical Casimir effect, and the transverse XY model, the exact and analytical solutions of work distributions in an arbitrary nonequilibrium process are obtained. Our work initiates the study of quantum stochastic thermodynamics based on group-representation theory. |
| first_indexed | 2024-04-24T10:29:09Z |
| format | Article |
| id | doaj.art-62b36ee1a8734e39bccaf716927e791c |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:29:09Z |
| publishDate | 2019-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-62b36ee1a8734e39bccaf716927e791c2024-04-12T16:47:40ZengAmerican Physical SocietyPhysical Review Research2643-15642019-12-011303317510.1103/PhysRevResearch.1.033175Group-theoretical approach to the calculation of quantum work distributionZhaoyu FeiH. T. QuanUsually the calculation of work distributions in an arbitrary nonequilibrium process in a quantum system, especially in a quantum many-body system, is extremely cumbersome. For all quantum systems described by quadratic Hamiltonians, we propose a universal method for solving the work distribution of quantum systems in an arbitrary driving process by utilizing the group-representation theory. This method enables us to efficiently calculate work distributions where previous methods fail. In some specific models, such as the time-dependent harmonic oscillator, the dynamical Casimir effect, and the transverse XY model, the exact and analytical solutions of work distributions in an arbitrary nonequilibrium process are obtained. Our work initiates the study of quantum stochastic thermodynamics based on group-representation theory.http://doi.org/10.1103/PhysRevResearch.1.033175 |
| spellingShingle | Zhaoyu Fei H. T. Quan Group-theoretical approach to the calculation of quantum work distribution Physical Review Research |
| title | Group-theoretical approach to the calculation of quantum work distribution |
| title_full | Group-theoretical approach to the calculation of quantum work distribution |
| title_fullStr | Group-theoretical approach to the calculation of quantum work distribution |
| title_full_unstemmed | Group-theoretical approach to the calculation of quantum work distribution |
| title_short | Group-theoretical approach to the calculation of quantum work distribution |
| title_sort | group theoretical approach to the calculation of quantum work distribution |
| url | http://doi.org/10.1103/PhysRevResearch.1.033175 |
| work_keys_str_mv | AT zhaoyufei grouptheoreticalapproachtothecalculationofquantumworkdistribution AT htquan grouptheoreticalapproachtothecalculationofquantumworkdistribution |