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Work statistics in non-Hermitian evolutions with Hermitian endpoints.
Zheng-Yang Zhou1,2, Ze-Liang Xiang3, J Q You2,4
1Theoretical Quantum Physics Laboratory, RIKEN Cluster for Pioneering Research, Wako-shi, Saitama 351-0198, Japan.
Physical Review. E
|October 16, 2021
Summary
We present a modified two-point measurement method to calculate quantum work statistics in non-Hermitian systems. This approach projects non-Hermitian statistics onto a larger Hermitian system, revealing key differences from Hermitian counterparts.
Area of Science:
- Quantum thermodynamics
- Non-Hermitian physics
- Condensed matter theory
Background:
- Non-Hermitian systems exhibit unique phenomena but pose challenges for quantum thermodynamics.
- Calculating work statistics in these systems is difficult due to changing state norms.
Purpose of the Study:
- To develop a method for calculating work statistics in non-Hermitian systems.
- To compare work statistics in non-Hermitian and Hermitian systems.
Main Methods:
- Modification of the two-point measurement method originally used for Hermitian systems.
- Application to non-Hermitian systems that are Hermitian before and after evolution.
- Projection of non-Hermitian statistics onto a larger Hermitian system.
Main Results:
- The modified method is equivalent to the standard two-point measurement method for Hermitian systems.
- For non-Hermitian systems, the results represent a projection of statistics from a larger Hermitian system.
- Work statistics in a non-Hermitian Su-Schrieffer-Heeger model show distinct features compared to Hermitian systems.
Conclusions:
- The modified two-point measurement method effectively addresses work statistics in non-Hermitian systems.
- This work highlights fundamental differences in quantum thermodynamics between Hermitian and non-Hermitian systems.
- The projection approach provides a framework for understanding non-Hermitian quantum thermodynamics.
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