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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.06258 |
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| _version_ | 1866910584813912064 |
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| author | Zuo, Yi Yang, Qinghong Liu, Bang-Gui Liu, Dong E |
| author_facet | Zuo, Yi Yang, Qinghong Liu, Bang-Gui Liu, Dong E |
| contents | Keldysh field theory, based on adiabatic assumptions, serves as an widely used framework for addressing nonequilibrium many-body systems. Nonetheless, the validity of such adiabatic assumptions when addressing interacting Gibbs states remains a topic of contention. We use the knowledge of work statistics developed in nonequilibrium thermodynamics to study this problem. Consequently, we deduce a universal theorem delineating the characteristics of evolutions that transition an initial Gibbs state to another. Based on this theorem, we analytically ascertain that adiabatic evolutions fail to transition a non-interacting Gibbs state to its interacting counterpart. However, this adiabatic approach remains a superior approximation relative to its non-adiabatic counterpart. Numerics verifying our theory and predictions are also provided. Furthermore, our findings render insights into the preparation of Gibbs states within the domain of quantum computation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_06258 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Work Statistics and Adiabatic Assumption in Nonequilibrium Many-Body Theory Zuo, Yi Yang, Qinghong Liu, Bang-Gui Liu, Dong E Quantum Physics Statistical Mechanics Keldysh field theory, based on adiabatic assumptions, serves as an widely used framework for addressing nonequilibrium many-body systems. Nonetheless, the validity of such adiabatic assumptions when addressing interacting Gibbs states remains a topic of contention. We use the knowledge of work statistics developed in nonequilibrium thermodynamics to study this problem. Consequently, we deduce a universal theorem delineating the characteristics of evolutions that transition an initial Gibbs state to another. Based on this theorem, we analytically ascertain that adiabatic evolutions fail to transition a non-interacting Gibbs state to its interacting counterpart. However, this adiabatic approach remains a superior approximation relative to its non-adiabatic counterpart. Numerics verifying our theory and predictions are also provided. Furthermore, our findings render insights into the preparation of Gibbs states within the domain of quantum computation. |
| title | Work Statistics and Adiabatic Assumption in Nonequilibrium Many-Body Theory |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2309.06258 |