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Effect of system-reservoir correlations on temperature estimation |
Wen-Li Zhu(朱雯丽)1, Wei Wu(吴威)1, Hong-Gang Luo(罗洪刚)1,2 |
1 School of Physical Science and Technology&Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, China; 2 Beijing Computational Science Research Center, Beijing 100193, China |
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Abstract In many previous temperature estimation schemes, the temperature of a sample is directly read out from the final steady state of a quantum probe, which is coupled to the sample. However, in these studies, information of correlations between system (the probe) and reservoir (the sample) is usually eliminated, leading the steady state of the probe is a canonical equilibrium state with respect solely to system's Hamiltonian. To explore the influence of system-reservoir correlations on the estimation precision, we investigate the equilibration dynamics of a spin interacting with a finite temperature bosonic reservoir. By incorporating an intermediate harmonic oscillator or a collective coordinate into the spin, the system-reservoir correlations can be correspondingly encoded in a Gibbs state of an effective Hamilton, which is size consistent with the original bare spin. Extracting information of temperature from this corrected steady state, we find the effect of the system-reservoir correlations on the estimation precision is highly sensitive to the details of the spectral density function of the measured reservoir.
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Received: 28 October 2019
Revised: 27 November 2019
Accepted manuscript online:
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PACS:
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05.30.-d
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(Quantum statistical mechanics)
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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06.20.-f
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(Metrology)
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Fund: Project supported by the National Natural Science Foundation of China (Grants Nos. 11704025, 11674139, and 11834005). |
Corresponding Authors:
Wei Wu
E-mail: wuw@lzu.edu.cn
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Cite this article:
Wen-Li Zhu(朱雯丽), Wei Wu(吴威), Hong-Gang Luo(罗洪刚) Effect of system-reservoir correlations on temperature estimation 2020 Chin. Phys. B 29 020501
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[1] |
Aigouy L, Tessier G, Mortier M and Charlot B 2005 Appl. Phys. Lett. 87 184105
|
[2] |
Ge Y, Zhang Y, Booth J A, Weaver J M R and Dobson P S 2016 Nanotechnology 27 325503
|
[3] |
Neumann P, Jakobi I, Dolde F, Burk C, Reuter R, Waldherr G, Honert J, Wolf T, Brunner A, Shim J H, Suter D, Sumiya H, Isoya J and Wrachtrup J 2013 Nano Lett. 13 2738
|
[4] |
Park K W, Krivoy E M, Nair H P, Bank S R and Yu E T 2015 Nanotechnology 26 265701
|
[5] |
Correa L A, Mehboudi M, Adesso G and Sanpera A 2015 Phys. Rev. Lett. 114 220405
|
[6] |
Correa L A, Perarnau-Llobet M, Hovhannisyan K V, Hernández-Santana S, Mehboudi M and Sanpera A 2017 Phys. Rev. A 96 062103
|
[7] |
Guo L S, Xu B M, Zou J and Shao B 2015 Phys. Rev. A 92 052112
|
[8] |
Campbell S, Genoni M G and Deffner S 2018 Quantum Sci. Technol. 3 025002
|
[9] |
Pasquale A D, Rossini D, Fazio R and Giovannetti V 2016 Nat. Commun. 7 12782
|
[10] |
Mehboudi M, Correa L A and Sanpera A 2016 Phys. Rev. A 94 042121
|
[11] |
Sone A, Zhuang Q and Cappellaro P 2018 Phys. Rev. A 98 012115
|
[12] |
Seilmeier F, Hauck M, Schubert E, Schinner G J, Beavan S E and Högele A 2014 Phys. Rev. Appl. 2 024002
|
[13] |
Haupt F, Imamoglu A and Kroner M 2014 Phys. Rev. Appl. 2 024001
|
[14] |
Marzolino U and Braun D 2013 Phys. Rev. A 88 063609
|
[15] |
Sabin C, White A, Hackermuller L and Fuentes I 2014 Sci. Rep. 4 6436
|
[16] |
Weiss U 2008 Quantum Dissipative Systems (Singapore: World Scientific)
|
[17] |
Yang C J, An J H, Luo H G, Li Y and Oh C H 2014 Phys. Rev. E 90 022122
|
[18] |
Lee C K, Cao J and Gong J 2012 Phys. Rev. E 86 021109
|
[19] |
Lee C K, Moix J and Cao J 2012 J. Chem. Phys. 136 204120
|
[20] |
Iles-Smith J, Dijkstra A G, Lambert N and Nazir A 2016 J. Chem. Phys. 144 044110
|
[21] |
Iles-Smith J, Lambert N and Nazir A 2014 Phys. Rev. A 90 032114
|
[22] |
Helstrom C W 1976 Quantum Detection and Estimation Theory (New York: Academic)
|
[23] |
Liu J, Xiong H N, Song F and Wang X 2014 Physica A 410 167
|
[24] |
Liu J, Yuan H, Lu X M and Wang X 2019 arXiv: 1907.08037v2[hepph]
|
[25] |
Garg A, Onuchic J N and Ambegaokar V 1985 J. Chem. Phys. 83 4491
|
[26] |
Liang X T 2007 Chem. Phys. Lett. 449 296
|
[27] |
Liang X T 2008 Chem. Phys. 352 106
|
[28] |
Strasberg P, Schaller G, Lambert N and Brandes T 2016 New J. Phys. 18 073007
|
[29] |
Gan C, Huang P and Zheng H 2010 J. Phys.: Condens. Matter 22 115301
|
[30] |
Nesi F, Grifoni M and Paladino E 2007 New J. Phys. 9 316
|
[31] |
Tanimura Y and Kubo R 1989 J. Phys. Soc. Jpn. 58 101
|
[32] |
Tanimura Y 1990 Phys. Rev. A 41 6676
|
[33] |
Becker K W and Fulde P 1989 J. Chem. Phys. 91 4223
|
[34] |
Polatsek G and Becker K W 1997 Phys. Rev. B 55 16096
|
[35] |
Reslen J, Quiroga L and Johnson N F 2005 Europhys Lett. 69 8
|
[36] |
Kubo R 1962 J. Phys. Soc. Jpn. 17 1100
|
[37] |
Libertia G and Zaffino R L 2005 Eur. Phys. J. B 44 535
|
[38] |
Ankerhold J and Pekola J P 2014 Phys. Rev. B 90 075421
|
[39] |
Haikka P, McEndoo S, Chiara G De, Palma G M and Maniscalco S 2011 Phys. Rev. A 84 031602
|
[40] |
Xiang Z L, Ashhab S, You J Q and Nori F 2013 Rev. Mod. Phys. 85 623
|
[41] |
Wernsdorfer W, Alcalde N A, Hendrickson D N and Christou G 2002 Nature 416 406
|
[42] |
Strasberg P, Schaller G, Schmidt T L and Esposito M 2018 Phys. Rev. B 97 205405
|
[43] |
Rybakovasa E, Gelzinisa A and Valkunasa L 2018 Chem. Phys. 515 242
|
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