期刊
PHYSICAL REVIEW E
卷 104, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.104.034107
关键词
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资金
- National Natural Science Foundation of China (NSFC) [11874432, 11774022, U1801661]
- Nippon Telegraph and Telephone Corporation (NTT) Research
- Japan Science and Technology Agency (JST) [via the Quantum Leap Flagship Program (Q-LEAP)]
- Japan Science and Technology Agency (JST) [Moonshot RD] [JPMJMS2061]
- Japan Science and Technology Agency (JST) [Centers of Research Excellence in Science and Technology (CREST)] [JPMJCR1676]
- Japan Society for the Promotion of Science (JSPS) [JP20H00134]
- Japan Society for the Promotion of Science (JSPS) [JSPS-RFBR] [JPJSBP120194828]
- Army Research Office (ARO) [W911NF-18-1-0358]
- Asian Office of Aerospace Research and Development (AOARD) [FA2386-20-1-4069]
- Foundational Questions Institute Fund (FQXi) [FQXi-IAF19-06]
Studying the quantum thermodynamic properties of non-Hermitian systems presents challenges, but these can be addressed by modifying methods to ensure they maintain Hermitian properties. Calculating work statistics in non-Hermitian systems can represent a projection of statistics in a larger Hermitian system.
Non-Hermitian systems with specific forms of Hamiltonians can exhibit novel phenomena. However, it is difficult to study their quantum thermodynamical properties. In particular, the calculation of work statistics can be challenging in non-Hermitian systems due to the change of state norm. To tackle this problem, we modify the two-point measurement method in Hermitian systems. The modified method can be applied to non-Hermitian systems which are Hermitian before and after the evolution. In Hermitian systems, our method is equivalent to the two-point measurement method. When the system is non-Hermitian, our results represent a projection of the statistics in a larger Hermitian system. As an example, we calculate the work statistics in a non-Hermitian Su-Schrieffer-Heeger model. Our results reveal several differences between the work statistics in non-Hermitian systems and the one in Hermitian systems.
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