Geometric phase under the Unruh effect with intermediate statistics

doi:10.1088/1674-1056/ac5d31

中国物理B ›› 2022, Vol. 31 ›› Issue (5): 50312-050312.doi: 10.1088/1674-1056/ac5d31

Geometric phase under the Unruh effect with intermediate statistics

Jun Feng(冯俊)^†, Jing-Jun Zhang(张精俊), and Qianyi Zhang(张倩怡)

School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2022-03-13 修回日期:2022-03-13 出版日期:2022-05-14 发布日期:2022-04-29
通讯作者: Jun Feng,E-mail:j.feng@xjtu.edu.cn E-mail:j.feng@xjtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.12075178) and Natural Science Basic Research Plan in Shaanxi Province of China (Grant No.2018JM1049).

Geometric phase under the Unruh effect with intermediate statistics

Jun Feng(冯俊)^†, Jing-Jun Zhang(张精俊), and Qianyi Zhang(张倩怡)

School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

Received:2022-03-13 Revised:2022-03-13 Online:2022-05-14 Published:2022-04-29
Contact: Jun Feng,E-mail:j.feng@xjtu.edu.cn E-mail:j.feng@xjtu.edu.cn
About author:2022-3-14
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.12075178) and Natural Science Basic Research Plan in Shaanxi Province of China (Grant No.2018JM1049).

摘要/Abstract

摘要： Utilizing the geometric phase (GP) acquired in a quantum evolution, we manifest the thermality and quantum nature of the Unruh effect of an accelerating detector. We consider an UDW detector coupling to a conformal field in Minkowski spacetime, whose response spectrum exhibits an intermediate statistics of (1+1) anyon field. We find that comparing to an inertial moving detector, the GP in accelerating frame is modified after the nonunitary evolution of the detector due to the Unruh effect. We show that such modification can distinguish the different thermalizing ways of the detector, which depends on the scaling dimension of the conformal primary field. Finally, we estimate the difference between the GP under the Unruh radiation and that in a thermal bath for a static observer, which reveals the quantum origin of the Unruh effect rather than a conventional thermal noise.

关键词: open quantum system, geometric phase, Unruh effect

Abstract: Utilizing the geometric phase (GP) acquired in a quantum evolution, we manifest the thermality and quantum nature of the Unruh effect of an accelerating detector. We consider an UDW detector coupling to a conformal field in Minkowski spacetime, whose response spectrum exhibits an intermediate statistics of (1+1) anyon field. We find that comparing to an inertial moving detector, the GP in accelerating frame is modified after the nonunitary evolution of the detector due to the Unruh effect. We show that such modification can distinguish the different thermalizing ways of the detector, which depends on the scaling dimension of the conformal primary field. Finally, we estimate the difference between the GP under the Unruh radiation and that in a thermal bath for a static observer, which reveals the quantum origin of the Unruh effect rather than a conventional thermal noise.

Key words: open quantum system, geometric phase, Unruh effect

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

03.65.Vf (Phases: geometric; dynamic or topological) 04.62.+v (Quantum fields in curved spacetime)

Jun Feng(冯俊), Jing-Jun Zhang(张精俊), and Qianyi Zhang(张倩怡). Geometric phase under the Unruh effect with intermediate statistics[J]. 中国物理B, 2022, 31(5): 50312-050312.

Jun Feng(冯俊), Jing-Jun Zhang(张精俊), and Qianyi Zhang(张倩怡). Geometric phase under the Unruh effect with intermediate statistics[J]. Chin. Phys. B, 2022, 31(5): 50312-050312.

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Geometric phase under the Unruh effect with intermediate statistics

Geometric phase under the Unruh effect with intermediate statistics

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