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Quantum Heat Transfer in a Harmonic Chain with a Dephasing Reservoir |
MING Yi**, DING Xing |
School of Physics and Material Science, Anhui University, Hefei 230601
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Cite this article: |
MING Yi, DING Xing 2014 Chin. Phys. Lett. 31 080501 |
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Abstract The quantum heat transfer in a harmonic chain with a dephasing reservoir is investigated based on the master equation method. The incoming phonons from the thermal reservoir will be scattered back partially into the reservoir at the contact site, leading to the contact resistance. Dephasing in the harmonic chain suppresses the transmitting of scattered phonons into the harmonic chain. Then the heat flux in the chain is reduced by dephasing. However, the heat flux is symmetric to interchanging the reservoirs temperatures even with the dephasing. Therefore, the thermal rectification cannot be realized with pure dephasing only.
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Published: 28 July 2014
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PACS: |
05.60.-k
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(Transport processes)
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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63.22.-m
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(Phonons or vibrational states in low-dimensional structures and nanoscale materials)
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66.70.-f
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(Nonelectronic thermal conduction and heat-pulse propagation in solids;thermal waves)
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[1] Wang L and Li B 2008 Phys. World 21 27 [2] Dubi Y and Ventra M D 2011 Rev. Mod. Phys. 83 131 [3] Li N, Ren J, Wang L, Zhang G, H?nggi P and Li B 2012 Rev. Mod. Phys. 84 1045 [4] Terraneo M, Peyrard M and Casati G 2002 Phys. Rev. Lett. 88 094302 [5] Li B, Wang L and Casati G 2004 Phys. Rev. Lett. 93 184301 [6] Li B, Lan J H and Wang L 2005 Phys. Rev. Lett. 95 104302 [7] Hu B, Yang L and Zhang Y 2006 Phys. Rev. Lett. 97 124302 [8] Segal D and Nitzan A 2005 Phys. Rev. Lett. 94 034301 [9] Segal D 2008 Phys. Rev. Lett. 100 105901 [10] Wu L A and Segal D 2009 Phys. Rev. Lett. 102 095503 [11] Eckmann J P and Mejía-Monasterio C 2006 Phys. Rev. Lett. 97 094301 [12] Casati G, Mejía-Monasterio C and Prosen T 2007 Phys. Rev. Lett. 98 104302 [13] Chang C W, Okawa D, Majumdar A and Zettl A 2006 Science 314 1121 [14] Scheibner R, K?nig M, Reuter D, Wieck A D, Gould C, Buhmann H and Molenkamp L W 2008 New J. Phys. 10 083016 [15] Ming Y, Wang Z X, Ding Z J and Li H M 2010 New J. Phys. 12 103041 [16] Zhang L, Wang J S and Li B 2010 Phys. Rev. B 81 100301(R) [17] Ouyang T, Chen Y, Xie Y, Wei X L, Yang K, Yang P and Zhong J 2010 Phys. Rev. B 82 245403 [18] Pereira E 2010 Phys. Lett. A 374 1933 [19] Bandyopadhyay M and Segal D 2011 Phys. Rev. E 84 011151 [20] Xie Z X, Li K M, Tang L M, Pan C N and Chen K Q 2012 Appl. Phys. Lett. 100 183110 [21] Rego L G C and Kirczenow G 1998 Phys. Rev. Lett. 81 232 [22] Schwab K, Henriksen E A, Worlock J M and Roukes M L 2000 Nature 404 974 [23] Sun Q F, Yang P and Guo H 2002 Phys. Rev. Lett. 89 175901 [24] Ming Y, Wang Z X, Li Q and Ding Z J 2007 Appl. Phys. Lett. 91 143508 [25] Chen K Q, Li W X, Duan W, Shuai Z and Gu B L 2005 Phys. Rev. B 72 045422 [26] Peng X F, Chen K Q, Wang Q, Zou B S and Duan W 2010 Phys. Rev. B 81 195317 [27] de Jong M J M and Beenakker C W J 1996 Physica A 230 219 [28] Blanter Y M and Büttiker M 2000 Phys. Rep. 336 1 [29] Texier C and Büttiker M 2000 Phys. Rev. B 62 7454 [30] Pilgram S, Samuelsson P, F?rster H and Büttiker M 2006 Phys. Rev. Lett. 97 066801 [31] F?rster H, Samuelsson P, Pilgram S and Büttiker M 2007 Phys. Rev. B 75 035340 [32] Büttiker M 1986 Phys. Rev. B 33 3020 [33] Büttiker M 1988 IBM J. Res. Dev. 32 63 [34] Ding X and Ming Y 2014 Chin. Phys. Lett. 31 046601 [35] Mohseni M, Rebentrost P, Lloyd S and Aspuru-Guzik A 2008 J. Chem. Phys. 129 174106 [36] Rebentrost P, Mohseni M, Kassal I, Lloyd S and Aspuru-Guzik A 2009 New J. Phys. 11 033003 [37] Caruso F, Chin A W, Datta A, Huelga S F and Plenio M B 2009 J. Chem. Phys. 131 105106 [38] ChinA W, Datta A, Caruso F, Huelga S F and Plenio M B 2010 New J. Phys. 12 065002 [39] Saito K, Takesue S and Miyashita S 2000 Phys. Rev. E 61 2397 [40] Kuang L M, Chen X, Chen G H and Ge M L 1997 Phys. Rev. A 56 3139 [41] Kubo R, Toda M and Hashitsume N 1985 Statistical Physics II (New York: Springer-Verlag) [42] Khasin M and Kosloff R 2007 Phys. Rev. A 76 012304 |
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