Dynamics of two levitated nanospheres nonlinearly coupling with non-Markovian environment
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摘要
The dynamics of two nanospheres nonlinearly coupling with non-Markovian reservoir is investigated. A master equation of the two nanospheres is derived by employing quantum state diffusion method. It is shown that the nonlinear coupling can improve the non-Markovianity. Due to the sharing of the common non-Markovian environment, the state transfer between the two nanospheres can be realized. The entanglement and the squeezing of the individual mode, as well as the jointed two-mode are analyzed. The present system can be realized by trapping two nanospheres in a wideband cavity, which might provide a method to study adjustable non-Markovian dynamics of mechanical motion.
The dynamics of two nanospheres nonlinearly coupling with non-Markovian reservoir is investigated. A master equation of the two nanospheres is derived by employing quantum state diffusion method. It is shown that the nonlinear coupling can improve the non-Markovianity. Due to the sharing of the common non-Markovian environment, the state transfer between the two nanospheres can be realized. The entanglement and the squeezing of the individual mode, as well as the jointed two-mode are analyzed. The present system can be realized by trapping two nanospheres in a wideband cavity, which might provide a method to study adjustable non-Markovian dynamics of mechanical motion.
The dynamics of two nanospheres nonlinearly coupling with non-Markovian reservoir is investigated. A master equation of the two nanospheres is derived by employing quantum state diffusion method. It is shown that the nonlinear coupling can improve the non-Markovianity. Due to the sharing of the common non-Markovian environment, the state transfer between the two nanospheres can be realized. The entanglement and the squeezing of the individual mode, as well as the jointed two-mode are analyzed. The present system can be realized by trapping two nanospheres in a wideband cavity, which might provide a method to study adjustable non-Markovian dynamics of mechanical motion.
引文
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[39]Ali M M,Lo P Y,Tu M W Y and Zhang W M 2015 Phys.Rev.A 92062306
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[41]Mu Q,Zhao X and Yu T 2016 Phys.Rev.A 94 012334
[42]Golkar M K T 2018 Chin.Phys.B 27 40303
[43]Wen J 2018 Chin.Phys.Lett.35 060301
[44]Ashkin A 1970 Phys.Rev.Lett.24 156
[2]Barrett M D,Sauer J A and Chapman M S 2001 Phys.Rev.Lett.87010404
[3]Zippilli S and Morigi G 2005 Phys.Rev.Lett.95 143001
[4]Yi Z,Li G X and Yang Y P 2013 Phys.Rev.A 87 053408
[5]Rashid M,Tufarelli T,Bateman J,Vovrosh J,Hempston D,Kim M Sand Ulbricht H 2016 Phys.Rev.Lett.117 273601
[6]Monroe C,Meekhof D M,King B E and Wineland D J 1996 Science272 1131
[7]Abdi M,Degenfeld-Schonburg P,Sameti M,Navarrete-Benlloch C and Hartmann M J 2016 Phys.Rev.Lett.116 233604
[8]Zheng S B 2004 Phys.Rev.A 69 055801
[9]Welte S,Hacker B,Daiss S,Ritter S and Rempe G 2017 Phys.Rev.Lett.118 210503
[10]Roghani M,Helm H and Breuer H P 2011 Phys.Rev.Lett.106 040502
[11]Li T,Kheifets S and Raizen M G 2011 Nat.Phys.7 527
[12]Fonseca P Z G,Aranas E B,Millen J,Monteiro T S and Barker P F2016 Phys.Rev.Lett.117 173602
[13]Millen J,Fonseca P Z,Mavrogordatos T,Monteiro T S and Barker P F2015 Phys.Rev.Lett.114 243601
[14]Zhang S,Wu W,Wu C W,Li F G,Li T,Wang X and Bao W S 2017Chin.Phys.B 26 074205
[15]Jain V,Gieseler J,Moritz C,Dellago C,Quidant R and Novotny L 2016Phys.Rev.Lett.116 243601
[16]Monteiro T S,Millen J,Pender G A T,Marquardt F,Chang D and Barker P F 2013 New J.Phys.15 015001
[17]Gieseler J,Novotny L and Quidant R 2013 Nat.Phys.9 806
[18]Voje A,Croy A and Isacsson A 2015 Phys.Rev.A 92 012313
[19]Duarte O S and Caldeira A O 2009 Phys.Rev.A 80 032110
[20]Nakajima S 1958 Prog.Theor.Phys.20 948
[21]Zwanzig R 1960 J.Chem.Phys.33 1338
[22]Hu B L,Paz J P and Zhang Y 1992 Phys.Rev.D 45 2843
[23]Zhang W M,Lo P Y,Xiong H N,Tu M W Y and Nori F 2012 Phys.Rev.Lett.109 170402
[24]Cheng J,Liang X T,Zhang W Z and Duan X 2018 Chin.Phys.B 27120302
[25]Cavina V,Mari A and Giovannetti V 2017 Phys.Rev.Lett.119 050601
[26]Piilo J,Maniscalco S,H¨arknen K and Suominen K A 2008 Phys.Rev.Lett.100 180402
[27]Strunz W T,Diosi L,Gisin N and Yu T 1999 Phys.Rev.Lett.83 4909
[28]Megier N,Strunz W T,Viviescas C and Luoma K 2018 Phys.Rev.Lett.120 150402
[29]Zhao X,Hedemann S R and Yu T 2013 Phys.Rev.A 88 022321
[30]Jing J and Yu T 2010 Phys.Rev.Lett.105 240403
[31]Milord L,Gerelli E,Jamois C,Harouri A,Chevalier C,Viktorovitch P,Letartre X and Benyattou T 2015 Appl.Phys.Lett.106 121110
[32]Tan H T,Zhang W M and Li G X 2011 Phys.Rev.A 83 062310
[33]Strunz W T and Yu T 2004 Phys.Rev.A 69 052115
[34]Yu T,Di′osi L,Gisin N and Strunz W T 2000 Phys.Lett.A 265 331
[35]Fuchs C A and Caves C M 1994 Phys.Rev.Lett.73 3047
[36]Breuer H P,Laine E M and Piilo J 2009 Phys.Rev.Lett.103 210401
[37]Breuer H P,Laine E M,Piilo J and Vacchini B 2016 Rev.Mod.Phys.88 021002
[38]Hou S C,Liang S L and Yi X X 2015 Phys.Rev.A 91 012109
[39]Ali M M,Lo P Y,Tu M W Y and Zhang W M 2015 Phys.Rev.A 92062306
[40]Cheng J,Zhang W Z,Zhou L and Zhang W 2016 Sci.Rep.6 23678
[41]Mu Q,Zhao X and Yu T 2016 Phys.Rev.A 94 012334
[42]Golkar M K T 2018 Chin.Phys.B 27 40303
[43]Wen J 2018 Chin.Phys.Lett.35 060301
[44]Ashkin A 1970 Phys.Rev.Lett.24 156