Abstract We investigate the nonequilibrium thermodynamics of a quenched XY spin chain with multi-spin interaction in a transverse field. The analytical expressions of both the average work and the relative entropy are obtained under different quenching parameters. The influences of the system parameters on the nonequilibrium thermodynamics are investigated. We find that at finite temperature the critical phenomenon induced by the multi-spin interaction and the external field can be revealed by the properties of the system nonequilibrium thermodynamics. In addition, our results indicate that the average work and the relative entropy can be used to detect both the existence and strength of the multi-spin interaction in the nonequlibrium system.
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11304230), China Postdoctoral Science Foundation Funded Project (Grant No. 2014M562387), the Fund of the State Key Laboratory of Intense Pulsed Radiation Simulation and Effect (Grant No. SKLIPR1908).
Corresponding Authors:
Xiu-Xing Zhang, Hong-Rong Li
E-mail: zhangxiuxing216@163.com;hrli@mail.xjtu.edu.cn
Cite this article:
Xiu-Xing Zhang(张修兴), Fang-Jv Li(李芳菊), Kai Wang(王凯), Jing Xue(薛晶), Guang-Wen Huo(霍广文), Ai-Ping Fang(方爱平), and Hong-Rong Li(李宏荣) Detection of multi-spin interaction of a quenched XY chain by the average work and the relative entropy 2021 Chin. Phys. B 30 090504
[1] del Rio L, Aberg J, Renner R, Dahlsten O and Vedral V 2011 Nature474 61 [2] Aberg J 2013 Nat. Commun.4 1925 [3] Mari A and Eisert J 2011 Phys. Rev. Lett.108 120602 [4] Binder F, Correa L A, Gogolin C, Anders J and Adesso G (ed) 2019 Thermodynamics in the Quantum Regime (Berlin: Springer) [5] Jarzynski C 1997 Phys. Rev. Lett.78 2690 [6] Jarzynski C 1997 Phys. Rev. E56 5018 [7] Crooks G E 1999 Phys. Rev. E60 2721 [8] Crooks G E 2000 Phys. Rev. E61 2361 [9] Mukamel S 2003 Phys. Rev. Lett.90 170604 [10] Talker P, Lutz E and Hänggi P 2007 Phys. Rev. E75 050102R [11] Guo Z P and Quan H T 2015 Phys. Rev. E92 012131 [12] Fei Z Y and Quan H T 2019 Phys. Rev. Res.1 033175 [13] Campisi M and Fazio R 2016 Nat. Commun.7 11895 [14] Zheng Y and Poletti D 2015 Phys. Rev. E92 012110 [15] Peterson John P S, Batalhão Tiago B, Herrera M et al. 2019 Phys. Rev. Lett.123 240601 [16] Beyer K, Luoma K and Strunz W T 2019 Phys. Rev. Lett.123 250606 [17] Scopa S, Landi G T and Karevski D 2018 Phys. Rev. A97 062121 [18] Chen J F, Sun C P and Dong H 2019 Phys. Rev. E100 062140 [19] Chen J F, Sun C P and Dong H 2019 Phys. Rev. E100 032144 [20] Linden N, Popescu S and Skrzypczyk P 2010 Phys. Rev. Lett.105 130401 [21] Seah S, Nimmrichter S and Scarani V 2018 Phys. Rev. E98 012131 [22] Hewgill A, González J O, Palao J P, et al. 2020 Phys. Rev. E101 012109 [23] Rossini D, Andolina G M and Polini M 2019 Phys. Rev. B100 115142 [24] Santos A C, Cakmak B, Campbell S and Zinner N T 2019 Phys. Rev. E100 032107 [25] Silva A 2008 Phys. Rev. Lett.101 120603 [26] Apollaro T J G, Francica G, Paternostro M, et al. 2015 Phys. Scr.2015 014023 [27] Mascarenhas E, Braganca H, Dorner R, et al. 2014 Phys. Rev. E89 062103 [28] De Luca A 2014 Phys. Rev. B90 081403 [29] Paraan F N C and Silva A 2009 Phys. Rev. E80 061130 [30] Shchadilova Y E, Ribeiro P and Haque M 2014 Phys. Rev. Lett.112 070601 [31] Brunelli M, Xuereb A, Ferraro A, et al. 2015 New J. Phys.17 035016 [32] Dora B, Bacsi A and Zarand G 2012 Phys. Rev. B86 161109(R) [33] Xu B M, Zou J, Guo L S and Kong X M 2018 Phys. Rev. A97 052122 [34] Dorner R, Goold J, Cormick C, et al. 2012 Phys. Rev. Lett.109 160601 [35] Bayocboc Jr F A and Paraan F N C 2015 Phys. Rev. E92 032142 [36] Zhong M and Tong P Q 2015 Phys. Rev. E91 032137 [37] Wang Q, Cao D and Quan H T 2018 Phys. Rev. E98 022107 [38] Fusco L, Pigeon S, Apollaro T J G, et al. 2014 Phys. Rev. X4 031029 [39] Dorner R, Clark S R, Heaney L, Fazio R, Goold J and Vedral V 2013 Phys. Rev. Lett.110 230601 [40] Mazzola L, De Chiara G and Paternostro M 2013 Phys. Rev. Lett.110 230602 [41] Sengupta K and Sen D 2009 Phys. Rev. A80 032304 [42] Bastidas V B, Emary C, Schaller G and Brandes T 2012 Phys. Rev. A86 063627 [43] Sotiriadis S, Gambassi A and Silva A 2013 Phys. Rev. E87 052129 [44] Gambassi A and Silva A arXiv: 1106.2671 [45] Lou P, Wu W C and Chang M C 2004 Phys. Rev. B70 064405 [46] Krokhmalskii T, Derzhko O, Stolze J and Verkholyak T 2008 Phys. Rev. B77 174404 [47] Yang M F 2005 Phys. Rev. A71 030302(R) [48] Li Y C and Lin H Q 2011 Phys. Rev. A83 052323 [49] Sachdev S 2000 Quantum Phase Transition (Cambridge: Cambridge University Press) [50] Yuan Z G, Zhang P and Li S S 2007 Phys. Rev. A76 042118 [51] Quan H T, Song Z, Liu X F, Zanardi P and Sun C P 2006 Phys. Rev. Lett.96 140604 [52] Zanardi P, Quan H T, Wang X G and Sun C P 2007 Phys. Rev. A75 032109 [53] Paunković N, Sacramento P D, Nogueira P, Vieira V R and Dugaev V K 2008 Phys. Rev. A77 052302
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