1
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Marcks JC, Onizhuk M, Wang YX, Zhu Y, Jin Y, Soloway BS, Fukami M, Delegan N, Heremans FJ, Clerk AA, Galli G, Awschalom DD. Quantum Spin Probe of Single Charge Dynamics. PHYSICAL REVIEW LETTERS 2024; 133:130802. [PMID: 39392984 DOI: 10.1103/physrevlett.133.130802] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/21/2024] [Revised: 08/06/2024] [Accepted: 08/14/2024] [Indexed: 10/13/2024]
Abstract
Electronic defects in semiconductors form the basis for emerging quantum technologies, but many defect centers are difficult to access at the single-particle level. A method for probing optically inactive spin defects would reveal semiconductor physics at the atomic scale and advance the study of new quantum systems. We exploit the intrinsic correlation between the charge and spin states of defect centers to measure the charge populations and dynamics of single substitutional nitrogen spin defects in diamond. By probing their steady-state spin population, read out at the single-defect level with a nearby nitrogen vacancy center, we directly measure the defect ionization-corroborated by first-principles calculations-an effect we do not have access to with traditional coherence-based quantum sensing.
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Affiliation(s)
- Jonathan C Marcks
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
- Q-NEXT, Argonne National Laboratory, Lemont, Illinois 60439, USA
- Materials Science Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
| | | | | | | | | | | | | | - Nazar Delegan
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
- Q-NEXT, Argonne National Laboratory, Lemont, Illinois 60439, USA
- Materials Science Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
| | - F Joseph Heremans
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
- Q-NEXT, Argonne National Laboratory, Lemont, Illinois 60439, USA
- Materials Science Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
| | | | - Giulia Galli
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
- Materials Science Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
- Department of Chemistry, University of Chicago, Chicago, Illinois 60637, USA
| | - David D Awschalom
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
- Q-NEXT, Argonne National Laboratory, Lemont, Illinois 60439, USA
- Materials Science Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
- Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
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2
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Carollo F. Non-Gaussian Dynamics of Quantum Fluctuations and Mean-Field Limit in Open Quantum Central Spin Systems. PHYSICAL REVIEW LETTERS 2023; 131:227102. [PMID: 38101340 DOI: 10.1103/physrevlett.131.227102] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/04/2023] [Revised: 08/10/2023] [Accepted: 11/01/2023] [Indexed: 12/17/2023]
Abstract
Central spin systems, in which a central spin is singled out and interacts nonlocally with several bath spins, are paradigmatic models for nitrogen-vacancy centers and quantum dots. They show complex emergent dynamics and stationary phenomena which, despite the collective nature of their interaction, are still largely not understood. Here, we derive exact results on the emergent behavior of open quantum central spin systems. The latter crucially depends on the scaling of the interaction strength with the bath size. For scalings with the inverse square root of the bath size (typical of one-to-many interactions), the system behaves, in the thermodynamic limit, as an open quantum Jaynes-Cummings model, whose bosonic mode encodes the quantum fluctuations of the bath spins. In this case, non-Gaussian correlations are dynamically generated and persist at stationarity. For scalings with the inverse bath size, the emergent dynamics is instead of mean-field type. Our Letter provides a fundamental understanding of the different dynamical regimes of central spin systems and a simple theory for efficiently exploring their nonequilibrium behavior. Our findings may become relevant for developing fully quantum descriptions of many-body solid-state devices and their applications.
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Affiliation(s)
- Federico Carollo
- Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany
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3
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Chen C, Li Y, Guo D, Ke C, Fan D, Lu S, Li X, Jiang M, Hu X. Monodispersed Transition Metals Induced Ordinary-Pressure Phase Transformation from Graphite to Diamond: A First-Principles Calculation. ACS APPLIED MATERIALS & INTERFACES 2023. [PMID: 37326334 DOI: 10.1021/acsami.3c05415] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/17/2023]
Abstract
High pressure and high temperature are normally required for the transformation of graphite to diamond; thus, finding a method that allows the transformation to occur under ordinary pressure will be extremely promising for diamond synthesis. Here, it is found that graphite spontaneously transforms into diamond without any pressure by adding monodispersed transition metals, and the universal rules that will help predict the role of certain elements in the phase transition were studied. The results show that the favorable transition metals possess an atomic radius of 0.136-0.160 nm and an unfilled d-orbital of d2s2-d7s2, which allow more charge transfer and accumulation at the proper position between the metal and dangling C atoms, leading to stronger metal-C bonds and a lower energy barrier for the transition. This provides a universal method to prepare diamond from graphite under ordinary pressure and also provides a way for the synthesis from sp2 to sp3 bonded materials.
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Affiliation(s)
- Chengke Chen
- College of Materials Science and Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China
- Moganshan Diamond Research Center, De Qing, Hu Zhou 313200, P. R. China
- Diamond Joint Research Center for Zhejiang University of Technology and Tanghe Scientific & Technology Company, De Qing, Hu Zhou 313200, P. R. China
| | - Yang Li
- College of Materials Science and Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China
- Moganshan Diamond Research Center, De Qing, Hu Zhou 313200, P. R. China
- Diamond Joint Research Center for Zhejiang University of Technology and Tanghe Scientific & Technology Company, De Qing, Hu Zhou 313200, P. R. China
| | - Difeng Guo
- College of Materials Science and Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China
- Moganshan Diamond Research Center, De Qing, Hu Zhou 313200, P. R. China
- Diamond Joint Research Center for Zhejiang University of Technology and Tanghe Scientific & Technology Company, De Qing, Hu Zhou 313200, P. R. China
| | - Changcheng Ke
- College of Materials Science and Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China
- Moganshan Diamond Research Center, De Qing, Hu Zhou 313200, P. R. China
- Diamond Joint Research Center for Zhejiang University of Technology and Tanghe Scientific & Technology Company, De Qing, Hu Zhou 313200, P. R. China
| | - Dong Fan
- College of Materials Science and Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China
- Moganshan Diamond Research Center, De Qing, Hu Zhou 313200, P. R. China
- Diamond Joint Research Center for Zhejiang University of Technology and Tanghe Scientific & Technology Company, De Qing, Hu Zhou 313200, P. R. China
| | - Shaohua Lu
- College of Materials Science and Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China
- Moganshan Diamond Research Center, De Qing, Hu Zhou 313200, P. R. China
- Diamond Joint Research Center for Zhejiang University of Technology and Tanghe Scientific & Technology Company, De Qing, Hu Zhou 313200, P. R. China
| | - Xiao Li
- College of Materials Science and Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China
- Moganshan Diamond Research Center, De Qing, Hu Zhou 313200, P. R. China
- Diamond Joint Research Center for Zhejiang University of Technology and Tanghe Scientific & Technology Company, De Qing, Hu Zhou 313200, P. R. China
| | - Meiyan Jiang
- College of Materials Science and Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China
- Moganshan Diamond Research Center, De Qing, Hu Zhou 313200, P. R. China
- Diamond Joint Research Center for Zhejiang University of Technology and Tanghe Scientific & Technology Company, De Qing, Hu Zhou 313200, P. R. China
| | - Xiaojun Hu
- College of Materials Science and Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China
- Moganshan Diamond Research Center, De Qing, Hu Zhou 313200, P. R. China
- Diamond Joint Research Center for Zhejiang University of Technology and Tanghe Scientific & Technology Company, De Qing, Hu Zhou 313200, P. R. China
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4
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Shen Y, Wang P, Cheung CT, Wrachtrup J, Liu RB, Yang S. Detection of Quantum Signals Free of Classical Noise via Quantum Correlation. PHYSICAL REVIEW LETTERS 2023; 130:070802. [PMID: 36867814 DOI: 10.1103/physrevlett.130.070802] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/18/2022] [Revised: 12/08/2022] [Accepted: 01/09/2023] [Indexed: 06/18/2023]
Abstract
Extracting useful signals is key to both classical and quantum technologies. Conventional noise filtering methods rely on different patterns of signal and noise in frequency or time domains, thus limiting their scope of application, especially in quantum sensing. Here, we propose a signal-nature-based (not signal-pattern-based) approach which singles out a quantum signal from its classical noise background by employing the intrinsic quantum nature of the system. We design a novel protocol to extract the quantum correlation signal and use it to single out the signal of a remote nuclear spin from its overwhelming classical noise backgrounds, which is impossible to be accomplished by conventional filter methods. Our Letter demonstrates the quantum or classical nature as a new degree of freedom in quantum sensing. The further generalization of this quantum nature-based method opens a new direction in quantum research.
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Affiliation(s)
- Yang Shen
- Department of Physics and the IAS Center for Quantum Technologies, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China
| | - Ping Wang
- College of Education for the future, Beijing Normal University, Zhuhai 519087, China
- Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
- Centre for Quantum Coherence and The Hong Kong Institute of Quantum Information Science and Technology, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
| | - Chun Tung Cheung
- Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
| | - Jörg Wrachtrup
- 3. Physikalisches Institut, Integrated Quantum Science and Technology (IQST), University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
- Max Planck Institute for Solid State Research, Stuttgart, Germany
| | - Ren-Bao Liu
- Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
- Centre for Quantum Coherence and The Hong Kong Institute of Quantum Information Science and Technology, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
| | - Sen Yang
- Department of Physics and the IAS Center for Quantum Technologies, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China
- Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
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5
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Wang H, Trusheim ME, Kim L, Raniwala H, Englund DR. Field programmable spin arrays for scalable quantum repeaters. Nat Commun 2023; 14:704. [PMID: 36759601 PMCID: PMC9911411 DOI: 10.1038/s41467-023-36098-8] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/05/2022] [Accepted: 01/16/2023] [Indexed: 02/11/2023] Open
Abstract
The large scale control over thousands of quantum emitters desired by quantum network technology is limited by the power consumption and cross-talk inherent in current microwave techniques. Here we propose a quantum repeater architecture based on densely-packed diamond color centers (CCs) in a programmable electrode array, with quantum gates driven by electric or strain fields. This 'field programmable spin array' (FPSA) enables high-speed spin control of individual CCs with low cross-talk and power dissipation. Integrated in a slow-light waveguide for efficient optical coupling, the FPSA serves as a quantum interface for optically-mediated entanglement. We evaluate the performance of the FPSA architecture in comparison to a routing-tree design and show an increased entanglement generation rate scaling into the thousand-qubit regime. Our results enable high fidelity control of dense quantum emitter arrays for scalable networking.
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Affiliation(s)
- Hanfeng Wang
- Research Laboratory of Electronics, M.I.T., 50 Vassar Street, Cambridge, MA, 02139, USA
- Department of Electrical Engineering and Computer Science, M.I.T., Cambridge, MA, 02139, USA
| | - Matthew E Trusheim
- Research Laboratory of Electronics, M.I.T., 50 Vassar Street, Cambridge, MA, 02139, USA.
- DEVCOM, Army Research Laboratory, Adelphi, MD, 20783, USA.
| | - Laura Kim
- Research Laboratory of Electronics, M.I.T., 50 Vassar Street, Cambridge, MA, 02139, USA
- Department of Materials Science and Engineering, University of California, Los Angeles, Los Angeles, CA, 90095, USA
| | - Hamza Raniwala
- Research Laboratory of Electronics, M.I.T., 50 Vassar Street, Cambridge, MA, 02139, USA
- Department of Electrical Engineering and Computer Science, M.I.T., Cambridge, MA, 02139, USA
| | - Dirk R Englund
- Research Laboratory of Electronics, M.I.T., 50 Vassar Street, Cambridge, MA, 02139, USA.
- Department of Electrical Engineering and Computer Science, M.I.T., Cambridge, MA, 02139, USA.
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6
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Fu PX, Zhou S, Liu Z, Wu CH, Fang YH, Wu ZR, Tao XQ, Yuan JY, Wang YX, Gao S, Jiang SD. Multiprocessing Quantum Computing through Hyperfine Couplings in Endohedral Fullerene Derivatives. Angew Chem Int Ed Engl 2022; 61:e202212939. [PMID: 36310119 DOI: 10.1002/anie.202212939] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/01/2022] [Indexed: 11/06/2022]
Abstract
Magnetic molecules have shown great potential in quantum information processing due to the chemical tunablity of their quantum behaviors. Chemical derivatives of endohedral nitrogen fullerenes with long coherence time and rich energy levels were synthesized and studied to demonstrate the ability of multiprocessing in quantum information using electron magnetic resonance. After initialization of the 12-levelled spin system, subgroups of spin energy levels coursed by the hyperfine couplings can be selectively manipulated. The cooperatively combining of the parallel calculations enabled quantum error correction, increasing the correct rate by up to 17.82 %. Also, different subgroups of transitions divided by hyperfine coupling can be treated as independent qubits, and multi-task quantum computing were realized by performing Z-gate and X-gate simultaneously, which accelerates the overall gating speed.
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Affiliation(s)
- Peng-Xiang Fu
- Beijing National Laboratory of Molecular Science, Beijing Key Laboratory of Magnetoelectric Materials and Devices, College of Chemistry and Molecular Engineering, Peking University, Beijing, China
| | - Shen Zhou
- Spin-X Institute, School of Chemistry and Chemical Engineering, State Key Laboratory of Luminescent Materials and Devices, Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials, South China University of Technology, Guangzhou, China.,Institute for Quantum Information Science and technology, College of Science, National University of Defense Technology, Changsha, China
| | - Zheng Liu
- Spin-X Institute, School of Chemistry and Chemical Engineering, State Key Laboratory of Luminescent Materials and Devices, Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials, South China University of Technology, Guangzhou, China
| | - Cong-Hui Wu
- Spin-X Institute, School of Chemistry and Chemical Engineering, State Key Laboratory of Luminescent Materials and Devices, Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials, South China University of Technology, Guangzhou, China
| | - Yu-Hui Fang
- Beijing National Laboratory of Molecular Science, Beijing Key Laboratory of Magnetoelectric Materials and Devices, College of Chemistry and Molecular Engineering, Peking University, Beijing, China
| | - Zhi-Rong Wu
- Spin-X Institute, School of Chemistry and Chemical Engineering, State Key Laboratory of Luminescent Materials and Devices, Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials, South China University of Technology, Guangzhou, China
| | - Xing-Quan Tao
- Spin-X Institute, School of Chemistry and Chemical Engineering, State Key Laboratory of Luminescent Materials and Devices, Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials, South China University of Technology, Guangzhou, China
| | - Jia-Yue Yuan
- Spin-X Institute, School of Chemistry and Chemical Engineering, State Key Laboratory of Luminescent Materials and Devices, Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials, South China University of Technology, Guangzhou, China.,Institute for Quantum Information Science and technology, College of Science, National University of Defense Technology, Changsha, China
| | - Ye-Xin Wang
- Spin-X Institute, School of Chemistry and Chemical Engineering, State Key Laboratory of Luminescent Materials and Devices, Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials, South China University of Technology, Guangzhou, China
| | - Song Gao
- Spin-X Institute, School of Chemistry and Chemical Engineering, State Key Laboratory of Luminescent Materials and Devices, Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials, South China University of Technology, Guangzhou, China.,Beijing National Laboratory of Molecular Science, Beijing Key Laboratory of Magnetoelectric Materials and Devices, College of Chemistry and Molecular Engineering, Peking University, Beijing, China
| | - Shang-Da Jiang
- Spin-X Institute, School of Chemistry and Chemical Engineering, State Key Laboratory of Luminescent Materials and Devices, Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials, South China University of Technology, Guangzhou, China
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7
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Hwang TY, Lee J, Jeon SW, Kim YS, Cho YW, Lim HT, Moon S, Han SW, Choa YH, Jung H. Sub-10 nm Precision Engineering of Solid-State Defects via Nanoscale Aperture Array Mask. NANO LETTERS 2022; 22:1672-1679. [PMID: 35133163 DOI: 10.1021/acs.nanolett.1c04699] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
Engineering a strongly interacting uniform qubit cluster would be a major step toward realizing a scalable quantum system for quantum sensing and a node-based qubit register. For a solid-state system that uses a defect as a qubit, various methods to precisely position defects have been developed, yet the large-scale fabrication of qubits within the strong coupling regime at room temperature continues to be a challenge. In this work, we generate nitrogen vacancy (NV) color centers in diamond with sub-10 nm scale precision using a combination of nanoscale aperture arrays (NAAs) with a high aspect ratio of 10 and a secondary E-beam hole pattern used as an ion-blocking mask. We perform optical and spin measurements on a cluster of NV spins and statistically investigate the effect of the NAAs during an ion-implantation process. We discuss how this technique is effective for constructing a scalable system.
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Affiliation(s)
- Tae-Yeon Hwang
- Center for Quantum Information, Korea Institute of Science and Technology, 5 Hwarang-ro 14-gil, Seongbuk-gu, Seoul 02792, Republic of Korea
| | - Junghyun Lee
- Center for Quantum Information, Korea Institute of Science and Technology, 5 Hwarang-ro 14-gil, Seongbuk-gu, Seoul 02792, Republic of Korea
| | - Seung-Woo Jeon
- Center for Quantum Information, Korea Institute of Science and Technology, 5 Hwarang-ro 14-gil, Seongbuk-gu, Seoul 02792, Republic of Korea
| | - Yong-Su Kim
- Center for Quantum Information, Korea Institute of Science and Technology, 5 Hwarang-ro 14-gil, Seongbuk-gu, Seoul 02792, Republic of Korea
- Division of Nano & Information Technology, KIST School, Korea University of Science and Technology, Seoul 02792, Republic of Korea
| | - Young-Wook Cho
- Department of Physics, Yonsei University, 50 Yonsei-ro, Seodaemun-gu, Seoul 03722, Republic of Korea
| | - Hyang-Tag Lim
- Center for Quantum Information, Korea Institute of Science and Technology, 5 Hwarang-ro 14-gil, Seongbuk-gu, Seoul 02792, Republic of Korea
- Division of Nano & Information Technology, KIST School, Korea University of Science and Technology, Seoul 02792, Republic of Korea
| | - Sung Moon
- Center for Quantum Information, Korea Institute of Science and Technology, 5 Hwarang-ro 14-gil, Seongbuk-gu, Seoul 02792, Republic of Korea
- Division of Nano & Information Technology, KIST School, Korea University of Science and Technology, Seoul 02792, Republic of Korea
| | - Sang-Wook Han
- Center for Quantum Information, Korea Institute of Science and Technology, 5 Hwarang-ro 14-gil, Seongbuk-gu, Seoul 02792, Republic of Korea
- Division of Nano & Information Technology, KIST School, Korea University of Science and Technology, Seoul 02792, Republic of Korea
| | - Yong-Ho Choa
- Department of Materials Science and Chemical Engineering, Hanyang University, Ansan, Gyeonggi-do 15588, Republic of Korea
| | - Hojoong Jung
- Center for Quantum Information, Korea Institute of Science and Technology, 5 Hwarang-ro 14-gil, Seongbuk-gu, Seoul 02792, Republic of Korea
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Jatakia P, Vinjanampathy S, Saha K. Detecting initial correlations via correlated spectroscopy in hybrid quantum systems. Sci Rep 2021; 11:20718. [PMID: 34671087 PMCID: PMC8528928 DOI: 10.1038/s41598-021-99718-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/30/2021] [Accepted: 09/17/2021] [Indexed: 11/10/2022] Open
Abstract
Generic mesoscopic quantum systems that interact with their environment tend to display appreciable correlations with environment that often play an important role in the physical properties of the system. However, the experimental methods needed to characterize such systems either ignore the role of initial correlations or scale unfavourably with system dimensions. Here, we present a technique that is agnostic to system-environment correlations and can be potentially implemented experimentally. Under a specific set of constraints, we demonstrate the ability to detect and measure specific correlations. We apply the technique to two cases related to Nitrogen Vacancy Centers (NV). Firstly, we use the technique on an NV coupled to a P1 defect centre in the environment to demonstrate the ability to detect dark spins. Secondly, we implement the technique on a hybrid quantum system of NV coupled to an optical cavity with initial correlations. We extract the interaction strength and effective number of interacting NVs from the initial correlations using our technique.
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Affiliation(s)
- Parth Jatakia
- Department of Physics, Indian Institute of Technology Bombay, Mumbai, India.
- Department of Electrical Engineering, Princeton University, Princeton, NJ, 08540, USA.
| | - Sai Vinjanampathy
- Department of Physics, Indian Institute of Technology Bombay, Mumbai, India
- Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore
| | - Kasturi Saha
- Solid State Device Group, Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India
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