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Chin. Phys. B, 2020, Vol. 29(3): 030302    DOI: 10.1088/1674-1056/ab6963
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Geometric phase of an open double-quantum-dot system detected by a quantum point contact

Qian Du(杜倩), Kang Lan(蓝康), Yan-Hui Zhang(张延惠), Lu-Jing Jiang(姜露静)
School of Physics and Electronics, Shandong Normal University, Jinan 250014, China
Abstract  We study theoretically the geometric phase of a double-quantum-dot (DQD) system measured by a quantum point contact (QPC) in the pure dephasing and dissipative environments, respectively. The results show that in these two environments, the coupling strength between the quantum dots has an enhanced impact on the geometric phase during a quasiperiod. This is due to the fact that the expansion of the width of the tunneling channel connecting the two quantum dots accelerates the oscillations of the electron between the quantum dots and makes the length of the evolution path longer. In addition, there is a notable near-zero region in the geometric phase because the stronger coupling between the system and the QPC freezes the electron in one quantum dot and the solid angle enclosed by the evolution path is approximately zero, which is associated with the quantum Zeno effect. For the pure dephasing environment, the geometric phase is suppressed as the dephasing rate increases which is caused only by the phase damping of the system. In the dissipative environment, the geometric phase is reduced with the increase of the relaxation rate which results from both the energy dissipation and phase damping of the system. Our results are helpful for using the geometric phase to construct the fault-tolerant quantum devices based on quantum dot systems in quantum information.
Keywords:  geometric phase      decoherence      quantum transport     
Received:  01 November 2019      Published:  05 March 2020
PACS:  03.65.Vf (Phases: geometric; dynamic or topological)  
  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
  05.60.Gg (Quantum transport)  
Fund: Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. ZR2014AM030).
Corresponding Authors:  Yan-Hui Zhang     E-mail:  yhzhang@sdnu.edu.cn

Cite this article: 

Qian Du(杜倩), Kang Lan(蓝康), Yan-Hui Zhang(张延惠), Lu-Jing Jiang(姜露静) Geometric phase of an open double-quantum-dot system detected by a quantum point contact 2020 Chin. Phys. B 29 030302

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