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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 |
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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.
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Received: 13 March 2022
Revised: 13 March 2022
Accepted manuscript online:
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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04.62.+v
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(Quantum fields in curved spacetime)
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| Fund: 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). |
Corresponding Authors:
Jun Feng,E-mail:j.feng@xjtu.edu.cn
E-mail: j.feng@xjtu.edu.cn
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| About author: 2022-3-14 |
Cite this article:
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 2022 Chin. Phys. B 31 050312
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