纳米机械谐振器耦合量子比特非厄米哈密顿量诱导的声子阻塞
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摘要
研究了纳米机械谐振器耦合量子比特系统中的声子阻塞现象.发现在弱驱动的条件下,非厄米哈密顿量的所有本征值都等于零时,出现了强声子反聚束现象.于是提出了零本征值方法来诱导声子阻塞.本文详细分析了此方法对声子阻塞的影响,给出了最佳条件并解释了背后的物理机理.不同于传统的声子阻塞和非传统的声子阻塞,不管是强非线性还是弱非线性,都可以实现声子的反聚束效应.
Nanomechanical resonator has important applications in the field of high-precision detection because it has a high-Q factor, high vibration frequency, small size, and other excellent characteristics. Superconducting qubit has very large magnetic dipole moments, so it can be easily combined with nanomechanical resonator.Furthermore, the system parameters including frequency and coupling strength can be designed according to requirements beforehand, which makes a superconducting qubit an ideal artificial atom. Compared with natural atom, superconducting qubit has abundant energy levels. For these reasons, nanomechanical system has aroused wide interest in the engineering, electron, physical and other fields of science and technology. According to the recent research, a new approach to the zero eigenvalues of non-Hermitian Hamiltonian is applied to the optomechanical system. It was found that the scheme is superior to conventional photon blockade(CPB) and unconventional photon blockade(UPB) in the cavity quantum electrodynamics(QED) system. So we propose a scheme to induce phonon blockade in order to explore a new avenue to the research about phonon blockades in the quantum open system. We study the phonon blockade in an optomechanical system that a qubit is coupled with nanomechanical resonator(NAMR) driven by two external weakly driving fields respectively in this way.In this paper, the Hamiltonian of such a system can be treated by the non-Hermitian Hamiltonian and it can be described in the form of matrix. Then the phenomenon of phonon blockade occurs when all the eigenvalues in the form of matrix are equal to zero. It is found that strong phonon antibunching can be triggered in both strong and weak nonlinearity when we use the method which has been already used in a gain optical cavity system. The distinct result reflects the advantage of our approach which possesses some outstanding characters between the ordinary methods(conventional phonon blockade and unconventional phonon blockade). In addition, the effect of our avenue on phonon blockade is analyzed and also the distinction between the conventional phonon blockade(CPNB) and unconventional phonon blockade(UPNB) is compared with each other in detail. By analytical calculation, the optimal conditions are given and the underlying physical mechanism is explained. In the comparison between CPNB and UPNB, we show the superiority of our scheme through some graphs. Finally, we describe briefly the measurements of phonon blockade in the NAMR-qubit system via a superconducting cavity. The proposal may provide a theoretical way to guide the manufacture of phonon devices in the future. The results obtained here may have a great significance and application in the field of quantum information processing and precision measurement.
Nanomechanical resonator has important applications in the field of high-precision detection because it has a high-Q factor, high vibration frequency, small size, and other excellent characteristics. Superconducting qubit has very large magnetic dipole moments, so it can be easily combined with nanomechanical resonator.Furthermore, the system parameters including frequency and coupling strength can be designed according to requirements beforehand, which makes a superconducting qubit an ideal artificial atom. Compared with natural atom, superconducting qubit has abundant energy levels. For these reasons, nanomechanical system has aroused wide interest in the engineering, electron, physical and other fields of science and technology. According to the recent research, a new approach to the zero eigenvalues of non-Hermitian Hamiltonian is applied to the optomechanical system. It was found that the scheme is superior to conventional photon blockade(CPB) and unconventional photon blockade(UPB) in the cavity quantum electrodynamics(QED) system. So we propose a scheme to induce phonon blockade in order to explore a new avenue to the research about phonon blockades in the quantum open system. We study the phonon blockade in an optomechanical system that a qubit is coupled with nanomechanical resonator(NAMR) driven by two external weakly driving fields respectively in this way.In this paper, the Hamiltonian of such a system can be treated by the non-Hermitian Hamiltonian and it can be described in the form of matrix. Then the phenomenon of phonon blockade occurs when all the eigenvalues in the form of matrix are equal to zero. It is found that strong phonon antibunching can be triggered in both strong and weak nonlinearity when we use the method which has been already used in a gain optical cavity system. The distinct result reflects the advantage of our approach which possesses some outstanding characters between the ordinary methods(conventional phonon blockade and unconventional phonon blockade). In addition, the effect of our avenue on phonon blockade is analyzed and also the distinction between the conventional phonon blockade(CPNB) and unconventional phonon blockade(UPNB) is compared with each other in detail. By analytical calculation, the optimal conditions are given and the underlying physical mechanism is explained. In the comparison between CPNB and UPNB, we show the superiority of our scheme through some graphs. Finally, we describe briefly the measurements of phonon blockade in the NAMR-qubit system via a superconducting cavity. The proposal may provide a theoretical way to guide the manufacture of phonon devices in the future. The results obtained here may have a great significance and application in the field of quantum information processing and precision measurement.
引文
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[57]Dong C H,Shen Z,Zou C L,Zhang Y L,Fu W,Guo G C2015 Nat.Commun.6 6193
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[61]Didier N,Pugnetti S,Blanter Y M,Fazio R 2011 Phys.Rev.B 84 054503
[2]Armour A D,Blencowe M P,Schwab K C 2002 Phys.Rev.Lett.88 148301
[3]Blencowe M 2004 Phys.Rep.395 159
[4]Cleland A N,Geller M R 2004 Phys.Rev.Lett.93 070501
[5]O'Connell A D,Hofheinz M,Ansmann M,Bialczak R C,Lenander M,Lucero E,Neeley M,Sank D,Wang H,Weides M,Wenner J,Martinis J M,Cleland A N 2010 Nature 464697
[6]Liu Y X,Miranowicz A,Gao Y B,Bajer J,Sun C P,Nori F2010 Phys.Rev.A 82 032101
[7]Imamoglu A,Schmidt H,Woods G,Deutsch M 1997 Phys.Rev.Lett.79 1467
[8]Barzanjeh S,Vitali D 2016 Phys.Rev.A 93 033846
[9]Zhou Y H,Shen H Z,Yi X X 2015 Phys.Rev.A 92 023838
[10]Zhou Y H,Shen H Z,Shao X Q,Yi X X 2016 Opt.Express24 17332
[11]Shi H Q,Xie Z Q,Xu X W,Liu N H 2018 Acta Phys.Sin.67044203(in Chinese)[石海泉,谢智强,徐勋卫,刘念华2018物理学报67 044203]
[12]Cai K,Pan Z W,Wang R X,Ruan D,Yin Z Q,Long G L2018 Opt.Lett.43 1163
[13]Miranowicz A,Bajer J,Lambert N,Liu Y X,Nori F 2016Phys.Rev.A 93 013808
[14]Wang X,Miranowicz A,Li H R,Nori F 2016 Phys.Rev.A 93063861
[15]Ramos T,Sudhir V,Stannigel K,Zoller P,Kippenberg T J2013 Phys.Rev.Lett.110 193602
[16]Xu X W,Chen A X,Liu Y X 2016 Phys.Rev.A 94 063853
[17]Gerace D,Savona V 2014 Phys.Rev.A 89 031803
[18]Lemonde M A,Didier N,Clerk A A 2014 Phys.Rev.A 90063824
[19]Bamba M,Imamo?lu A,Carusotto I,Ciuti C 2011 Phys.Rev.A 83 021802
[20]Qian Z,Zhao M M,Hou B P,Zhao Y H 2017 Opt.Express 2533097
[21]Shi H Q,Zhou X T,Xu X W,Liu N H 2018 Sci.Rep.20182212
[22]Kong C,Li S,You C,Xiong H,Wu Y 2018 Sci.Rep.8 1060
[23]Li G,Xiao X,Li Y,Wang X 2018 Phys.Rev.A 97 023801
[24]Guan S,Bowen W P,Liu C,Duan Z 2017 EPL 119 58001
[25]Xie H,Liao C G,Shang X,Ye M Y,Lin X M 2017 Phys.Rev.A 96 013861
[26]Yin T S,Lu X Y,Wan L L,Bin S W,Wu Y 2018 Opt.Lett.43 2050
[27]Debnath S,Linke N M,Wang S T,Figgatt C,Landsman KA,Duan L M,Monroe C 2018 Phys.Rev.Lett.120 073001
[28]Li S S 2018 Int.J.Theor.Phys.57 2359
[29]Shen H,Zhen B,Fu L 2018 Phys.Rev.Lett.120 146402
[30]Longhi S 2017 J.Phys.A:Math.Theor.50 505201
[31]Park K W,Kim J,Jeong K 2016 Opt.Commun.368 190
[32]Khantoul B,Bounames A,Maamache M 2017 Eur.Phys.J.Plus 132 258
[33]Baradaran M,Panahi H 2017 Chin.Phys.B 26 060301
[34]Maamache M,Lamri S,Cherbal O 2017 Ann.Phys.378 150
[35]Sergi A,Giaquinta P 2016 Entropy 18 451
[36]Miao Y G,Xu Z M 2016 Phys.Lett.A 380 1805
[37]Ferry D K,Akis R,Burke A M,Knezevic I,Brunner R,Bird J P,Meisels R,Kuchar F,Bird J P 2013 Fortschr.Phys.61291
[38]Sergi A,Zloshchastiev K G 2016 J.Stat.Mech:Theory Exp.2016 033102
[39]Chen J H,Fan H Y 2012 Front.Phys.7 632
[40]Greenberg Y S,Shtygashev A A 2015 Phys.Rev.A 92 063835
[41]Zloshchastiev K G 2015 Eur.Phys.J.D 69 253
[42]Bagarello F,Lattuca M,Passante R,Rizzuto L,Spagnolo S2015 Phys.Rev.A 91 042134
[43]Giusteri G G,Mattiotti F,Celardo G L 2015 Phys.Rev.B 91094301
[44]Zhou Y H,Shen H Z,Zhang X Y,Yi X X 2018 Phys.Rev.A97 043819
[45]Li J,Yu R,Wu Y 2015 Phys.Rev.A 92 053837
[46]Xing Y,Qi L,Cao J,Wang D Y,Bai C H,Wang H F,Zhu AD,Zhang S 2017 Phys.Rev.A 96 043810
[47]Peng B,Ozdemir S K,Rotter S,Yilmaz H,Liertzer M,Monifi F,Bender C M,Nori F,Yang L 2014 Science 346 328
[48]Chang L,Jiang X,Hua S,Yang C,Wen J,Jiang L,Li G,Wang G,Xiao M 2014 Nat.Photonics 8 524
[49]Hodaei H,Miri M A,Heinrich M,Christodoulides D N,Khajavikhan M 2014 Science 346 975
[50]Peng B,?zdemir?K,Lei F,Monifi F,Gianfreda M,Long GL,Fan S,Nori F,Bender C M,Yang L 2014 Nat.Phys.10394
[51]Feng L,Wong Z J,Ma R M,Wang Y,Zhang X 2014 Science346 972
[52]Fan L R,Fong K Y,Poot M,Tang H X 2015 Nat.Commun.6 5850
[53]Xiong C,Fan L R,Sun X K,Tang H X 2013 Appl.Phys.Lett102 021110
[54]Winger M,Blasius T D,Alegre T P M,Safavi Naeini A H,Meenehan S,Cohen J,Stobbe S,Painter O 2011 Opt.Express19 24905
[55]Zhang J,Peng B,Ozdemir S K,Liu Y X,Jing H,Lu X Y,Liu Y L,Yang L,Nori F 2015 Phys.Rev.B 92 115407
[56]Bahl G,Tomes M,Marquardt F,Carmon T 2012 Nat.Phys.8 203
[57]Dong C H,Shen Z,Zou C L,Zhang Y L,Fu W,Guo G C2015 Nat.Commun.6 6193
[58]Kepesidis K V,Milburn T J,Huber J,Makris K G,Rotter S,Rabl P 2016 New J.Phys.18 095003
[59]Xu X W,Liu Y X,Sun C P,Li Y 2015 Phys.Rev.A 92013852
[60]Liu Y L 2017 Ph.D.Dissertation(Beijing:Tsinghua University)(in Chinese)[刘玉龙2017博士学位论文(北京:清华大学)]
[61]Didier N,Pugnetti S,Blanter Y M,Fazio R 2011 Phys.Rev.B 84 054503
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