Enhancing von Neumann entropy by chaos in spin-orbit entanglement

doi:10.1088/1674-1056/ab3dff

中国物理B ›› 2019, Vol. 28 ›› Issue (10): 100501-100501.doi: 10.1088/1674-1056/ab3dff

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Enhancing von Neumann entropy by chaos in spin-orbit entanglement

Chen-Rong Liu(刘郴荣), Pei Yu(喻佩), Xian-Zhang Chen(陈宪章), Hong-Ya Xu(徐洪亚), Liang Huang(黄亮), Ying-Cheng Lai(来颖诚)

1 School of Physical Science and Technology, and Key Laboratory for Magnetism and Magnetic Materials of MOE, Lanzhou University, Lanzhou 730000, China;
2 School of Electrical, Computer, and Energy Engineering, Arizona State University, Tempe, AZ 85287, USA;
3 Department of Physics, Arizona State University, Tempe, AZ 85287, USA

收稿日期:2019-07-31 修回日期:2019-08-21 出版日期:2019-10-05 发布日期:2019-10-05
通讯作者: Liang Huang E-mail:huangl@lzu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11775101 and 11422541) and the US Office of Naval Research (Grant No. N00014-16-1-2828).

Enhancing von Neumann entropy by chaos in spin-orbit entanglement

Chen-Rong Liu(刘郴荣)¹, Pei Yu(喻佩)¹, Xian-Zhang Chen(陈宪章)¹, Hong-Ya Xu(徐洪亚)², Liang Huang(黄亮)¹, Ying-Cheng Lai(来颖诚)^2,3

1 School of Physical Science and Technology, and Key Laboratory for Magnetism and Magnetic Materials of MOE, Lanzhou University, Lanzhou 730000, China;
2 School of Electrical, Computer, and Energy Engineering, Arizona State University, Tempe, AZ 85287, USA;
3 Department of Physics, Arizona State University, Tempe, AZ 85287, USA

Received:2019-07-31 Revised:2019-08-21 Online:2019-10-05 Published:2019-10-05
Contact: Liang Huang E-mail:huangl@lzu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11775101 and 11422541) and the US Office of Naval Research (Grant No. N00014-16-1-2828).

摘要/Abstract

摘要： For a quantum system with multiple degrees of freedom or subspaces, loss of coherence in a certain subspace is intimately related to the enhancement of entanglement between this subspace and another one. We investigate intra-particle entanglement in two-dimensional mesoscopic systems, where an electron has both spin and orbital degrees of freedom and the interaction between them is enabled by Rashba type of spin-orbit coupling. The geometric shape of the scattering region can be adjusted to produce a continuous spectrum of classical dynamics with different degree of chaos. Focusing on the spin degree of freedom in the weak spin-orbit coupling regime, we find that classical chaos can significantly enhance spin-orbit entanglement at the expense of spin coherence. Our finding that classical chaos can be beneficial to intra-particle entanglement may have potential applications such as enhancing the bandwidth of quantum communications.

关键词: spin-orbit entanglement, chaos, von Neumann entropy, spin decoherence

Abstract: For a quantum system with multiple degrees of freedom or subspaces, loss of coherence in a certain subspace is intimately related to the enhancement of entanglement between this subspace and another one. We investigate intra-particle entanglement in two-dimensional mesoscopic systems, where an electron has both spin and orbital degrees of freedom and the interaction between them is enabled by Rashba type of spin-orbit coupling. The geometric shape of the scattering region can be adjusted to produce a continuous spectrum of classical dynamics with different degree of chaos. Focusing on the spin degree of freedom in the weak spin-orbit coupling regime, we find that classical chaos can significantly enhance spin-orbit entanglement at the expense of spin coherence. Our finding that classical chaos can be beneficial to intra-particle entanglement may have potential applications such as enhancing the bandwidth of quantum communications.

Key words: spin-orbit entanglement, chaos, von Neumann entropy, spin decoherence

中图分类号: (Quantum chaos; semiclassical methods)

05.45.Mt

71.15.Rf (Relativistic effects) 73.23.-b (Electronic transport in mesoscopic systems)

刘郴荣, 喻佩, 陈宪章, 徐洪亚, 黄亮, 来颖诚. Enhancing von Neumann entropy by chaos in spin-orbit entanglement[J]. 中国物理B, 2019, 28(10): 100501-100501.

Chen-Rong Liu(刘郴荣), Pei Yu(喻佩), Xian-Zhang Chen(陈宪章), Hong-Ya Xu(徐洪亚), Liang Huang(黄亮), Ying-Cheng Lai(来颖诚). Enhancing von Neumann entropy by chaos in spin-orbit entanglement[J]. Chin. Phys. B, 2019, 28(10): 100501-100501.

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Enhancing von Neumann entropy by chaos in spin-orbit entanglement

Enhancing von Neumann entropy by chaos in spin-orbit entanglement

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[3]	Xiaodong Jiao(焦晓东), Mingfeng Yuan(袁明峰), Jin Tao(陶金), Hao Sun(孙昊), Qinglin Sun(孙青林), and Zengqiang Chen(陈增强). Memristor hyperchaos in a generalized Kolmogorov-type system with extreme multistability[J]. 中国物理B, 2023, 32(1): 10507-010507.
[4]	Xiaopeng Yan(闫晓鹏), Xingyuan Wang(王兴元), and Yongjin Xian(咸永锦). Synchronously scrambled diffuse image encryption method based on a new cosine chaotic map[J]. 中国物理B, 2022, 31(8): 80504-080504.
[5]	Dong-Zhou Zhong(钟东洲), Zhe Xu(徐喆), Ya-Lan Hu(胡亚兰), Ke-Ke Zhao(赵可可), Jin-Bo Zhang(张金波),Peng Hou(侯鹏), Wan-An Deng(邓万安), and Jiang-Tao Xi(习江涛). Multi-target ranging using an optical reservoir computing approach in the laterally coupled semiconductor lasers with self-feedback[J]. 中国物理B, 2022, 31(7): 74205-074205.
[6]	Ai-Xue Qi(齐爱学), Bin-Da Zhu(朱斌达), and Guang-Yi Wang(王光义). Complex dynamic behaviors in hyperbolic-type memristor-based cellular neural network[J]. 中国物理B, 2022, 31(2): 20502-020502.
[7]	Arnold Ngapasare, Georgios Theocharis, Olivier Richoux, Vassos Achilleos, and Charalampos Skokos. Energy spreading, equipartition, and chaos in lattices with non-central forces[J]. 中国物理B, 2022, 31(2): 20506-020506.
[8]	Wenjie Yang(杨文杰). Bifurcation and dynamics in double-delayed Chua circuits with periodic perturbation[J]. 中国物理B, 2022, 31(2): 20201-020201.
[9]	Hsinchen Yu(于心澄), Dong Bai(柏栋), Peishan He(何佩珊), Xiaoping Zhang(张小平), Zhongzhou Ren(任中洲), and Qiang Zheng(郑强). Resonance and antiresonance characteristics in linearly delayed Maryland model[J]. 中国物理B, 2022, 31(12): 120502-120502.
[10]	Yining Su(苏怡宁), Xingyuan Wang(王兴元), and Shujuan Lin(林淑娟). An image encryption algorithm based on spatiotemporal chaos and middle order traversal of a binary tree[J]. 中国物理B, 2022, 31(11): 110503-110503.
[11]	Yue Li(李月), Zengqiang Chen(陈增强), Zenghui Wang(王增会), and Shijian Cang(仓诗建). Nonlinear dynamics analysis of cluster-shaped conservative flows generated from a generalized thermostatted system[J]. 中国物理B, 2022, 31(1): 10501-010501.
[12]	Hai-Ying Liu(刘海英), Hong-Li Yang(杨红丽), and Lian-Gui Yang(杨联贵). Dynamics analysis in a tumor-immune system with chemotherapy[J]. 中国物理B, 2021, 30(5): 58201-058201.
[13]	You-Ming Lei(雷佑铭) and Yan-Yan Han(韩彦彦). Control of chaos in Frenkel-Kontorova model using reinforcement learning[J]. 中国物理B, 2021, 30(5): 50503-050503.
[14]	Chenguang Ma(马晨光), Santo Banerjee, Li Xiong(熊丽), Tianming Liu(刘天明), Xintong Han(韩昕彤), and Jun Mou(牟俊). Dynamical analysis, circuit realization, and application in pseudorandom number generators of a fractional-order laser chaotic system[J]. 中国物理B, 2021, 30(12): 120504-120504.
[15]	Tao Wang(王涛) and Tiegang Liu(刘铁钢). Transition to chaos in lid-driven square cavity flow[J]. 中国物理B, 2021, 30(12): 120508-120508.