Quantum speed limit time of a non-Hermitian two-level system

doi:10.1088/1674-1056/ab6c45

Abstract We investigated the quantum speed limit time of a non-Hermitian two-level system for which gain and loss of energy or amplitude are present. Our results show that, with respect to two distinguishable states of the non-Hermitian system, the evolutionary time does not have a nonzero lower bound. The quantum evolution of the system can be effectively accelerated by adjusting the non-Hermitian parameter, as well as the quantum speed limit time can be arbitrarily small even be zero.

Keywords: quantum speed limit time non-Hermitian dynamics quantum optics

Received: 03 November 2019
Revised: 05 January 2020
Accepted manuscript online:

PACS:	03.67.-a	(Quantum information)
	42.50.-p	(Quantum optics)
	03.67.Lx	(Quantum computation architectures and implementations)

Corresponding Authors: Mao-Fa Fang
E-mail: mffang@hunnu.edu.cn

Cite this article:

Yan-Yi Wang(王彦懿), Mao-Fa Fang(方卯发) Quantum speed limit time of a non-Hermitian two-level system 2020 Chin. Phys. B 29 030304

[1]	Bender C M and Boettcher S 1998 Phys. Rev. Lett. 80 5243
[2]	Bender C M, Brody D C and Jones H F 2002 Phys. Rev. Lett. 89 270401
[3]	Bender C M, Brody D C, Jones H F and Meister B K 2007 Phys. Rev. Lett. 98 040403
[4]	Bender C M and Brody D C 2009 Lect. Notes Phys. 789 341
[5]	Assis P E G and Fring A 2008 J. Phys. A: Math. Theor. 41 244002
[6]	Günther U and Samsonov B F 2008 Phys. Rev. A 78 042115
[7]	Günther U and Samsonov B F 2008 Phys. Rev. Lett. 101 230404
[8]	Kawabata K, Ashida Y and Ueda M 2017 Phys. Rev. Lett. 119 190401
[9]	Mostafazadeh A 2007 Phys. Rev. Lett. 99 130502
[10]	Mostafazadeh A 2009 Phys. Rev. A 79 014101
[11]	Uzdin R, Günther U, Rahav S and Moiseyev N 2012 J. Phys. A: Math. Theor. 45 415304
[12]	Brody D C and Graefe E M 2012 Phys. Rev. Lett. 109 230405
[13]	Sergi A and Zloshchastiev K G 2013 Int. J. Mod. Phys. B 27 1350163
[14]	Lee Y C, Hsieh M H, Flammia S T and Lee R K 2014 Phys. Rev. Lett. 112 130404
[15]	Chen S L, Chen G Y and Chen Y N 2014 Phys. Rev. A 90 054301
[16]	Sergi A and Zloshchastiev K G 2015 Phys. Rev. A 91 062108
[17]	Gardas B, Deffner S and Saxena A 2016 Phys. Rev. A 94 040101
[18]	Joshi S and Galbraith I 2018 Phys. Rev. A 98 042117
[19]	Wang Y Y and Fang M F 2018 Quantum Inf. Proces. 17 208
[20]	Wang Y Y and Fang M F 2018 Chin. Phys. B 27 114207
[21]	Plenio M B and Knight P L 1998 Rev. Mod. Phys. 70 101
[22]	Rotter I 2009 J. Phys. A: Math. Theor. 42 153001
[23]	Moiseyev N 2011 Non Hermitian Quantum Mechanics (Cambridge: Cambridge University Press)
[24]	Zloshchastiev K G and Sergi A 2014 J. Mod. Opt. 61 1298
[25]	Mandelstam L and Tamm Ig 1945 J. Phys. (USSR) 9 249
[26]	Margolus N and Levitin L B 1998 Physica D 120 188
[27]	Bender C M 2007 Rep. Prog. Phys. 70 947
[28]	Deffner S and Campbell S 2017 J. Phys. A: Math. Theor. 50 453001
[29]	Guo A, Salamo G J, Duchesne D, Morandotti R, Volatier Ravat M, Aimez V, Siviloglou G A and Christodoulides D N 2009 Phys. Rev. Lett. 103 093902
[30]	Campo A del, Egusquiza I L, Plenio M B and Huelga S F 2013 Phys. Rev. Lett. 110 050403
[31]	Deffner S and Lutz E 2013 Phys. Rev. Lett. 111 010402
[32]	Zhang Y J, Han W, Xia Y J, Cao J P and Fan H 2014 Sci. Rep. 4 4890
[33]	Rüter C E, Makris K G, El Ganainy R, Christodoulides D N, Segev M and Kip D 2010 Nat. Phys. 6 192
[34]	Gao T, Estrecho E, Bliokh K Y, Liew T C H, Fraser M D, Brodbeck S, Kamp M, Schneider C, Höfling S, Yamamoto Y, Nori F, Kivshar Y S, Truscott A G, Dall R G and Ostrovskaya E A 2015 Nature 526 554
[35]	Liu Z P, Zhang J, Ożdemir S K, Peng B, Jing H, Lu Ẍ Y, Li C W, Yang L, Nori F and Liu Y X 2016 Phys. Rev. Lett. 117 110802
[36]	Tang J S, Wang Y T, Yu S, He D Y, Xu J S, Liu B H, Chen G, Sun Y N, Sun K, Han Y J, Li C F and Guo G C 2016 Nat. Photon. 10 642
[37]	Heiss W D 2004 J. Phys. A: Math. Gen. 37 2455
[38]	Mostafazadeh A 2009 Phys. Rev. Lett. 102 220402
[39]	Jin L and Song Z 2018 Phys. Rev. Lett. 121 073901
[40]	Jin L and Song Z. 2011 Phys. Rev. A 84 042116
[41]	Nielsen M A and Chuang I L 2011 Quantum Computation and Quantum Information (10th Anniversary Edition) (New York: Cambridge University Press)

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