基于压缩光的量子精密测量

孙恒信; 刘奎; 张俊香; 郜江瑞

doi:10.7498/aps.64.234210

摘要

对任何物理量的测量都有一定的噪声, 经典测量所能达到的最小噪声一般称为散粒噪声, 对应着测量的标准量子极限. 利用压缩光可以突破标准量子极限, 从而提高测量精度. 本文介绍了压缩态光场用于突破标准量子极限的基本原理, 以及压缩态光场在相位测量、光学横向小位移及倾斜测量、磁场测量以及时钟同步等精密测量领域的应用和最新进展.

关键词:

According to the Heisenberg uncertainty principle, the precision of any physical quantity measurement is limited by quantum fluctuation in general, which leads to the so-called standard quantum limit (SQL). The SQL can be beaten by using squeezed light, hence enhancing the measurement accuracy. Squeezed light is a typical nonclassical light, it exhibits reduced noise in one quadrature component. Since Caves proposed the scheme of phase measurement enhancement with squeezing, squeezed light has been used to enhance measurement precision in many areas. This review focuses on the following four kinds of precision measurements based on squeezed light: the measurements of relative phase, small lateral displacement and tilt, magnetic field, and clock synchronization. For all of these measurements, vacuum squeezing has been used to enhance measurement precision, while the types of squeezing (squeezing angle, transverse mode, polarization etc.) are different. For phase measurement, quadrature squeezing is injected into the conventionally unused input port of Mach-Zehnder interferometer (MZI) or Michelson interferometer (MI). For displacement or tilt measurement, a vacuum squeezing beam of a special transverse mode is coupled into an intense coherent beam, yielding a spatial-squeezed light whose transverse position or tilt angle noise is lower than that of a classical light beam. Based on the Faraday effect of polarization rotation, the magnetic field can be detected precisely. The precision can be increased further by using the polarization squeezing. The polarization squeezing can be generated by coupling two orthogonal polarized beams together, a coherent beam and a vacuum squeezed beam. Various polarization squeezing can be illustrated on the Poincaré sphere. Finally, in the clock synchronization based on the optical frequency comb, squeezed light can be used to enhance the time measurement precision. A theoretical scheme with multimode squeezing of supermode (a kind of mode describing the frequency mode of a pulse laser beam) is introduced. The squeezing has extensively been applied into the quantum precision measurements such as gravitational wave detection as well as biological measurement and will play a more important role in the near future.

Keywords:

作者及机构信息

1.
山西大学光电研究所, 量子光学与光量子器件国家重点实验室, 太原 030006

通信作者: 郜江瑞, jrgao@sxu.edu.cn

基金项目: 国家重点基础研究发展计划(批准号: 2010CB923102)和国家自然科学基金(批准号: 61121064, 11274212, 61405108)资助的课题.

Authors and contacts

1.
State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China

Corresponding author: Gao Jiang-Rui, jrgao@sxu.edu.cn

Funds: Project supported by the State Key Development Program for Basic Research of China (Grant No. 2010CB923102), the National Natural Science Foundation of China (Grant Nos. 61121064, 11274212, 61405108).

参考文献

[1]	Caves C 1981 Phys. Rev. D 23 1693
[2]	Xiao M, Wu L A, Kimble H 1987 Phys. Rev. Lett. 59 278
[3]	Goda K, Miyakawa O, Mikhailov E E, Saraf S, Adhikari R, McKenzie K, Ward R, Vass S, Weinstein A J, Mavalvala N 2008 Nat. Phys. 4 472
[4]	The LIGO Scientific Collaboration 2011 Nat. Phys. 7 962
[5]	Dwyer S, Barsotti L, Chua S S Y, Evans M, Factourovich M, Gustafson D, Isogai T, Kawabe K, Khalaidovski A, Lam P K, Landry M, Mavalvala N, Mcclelland D E, Meadors G D, Schnabel R, Schofield R M S, Stefszky M, Vorvick C, Sigg D 2013 Opt. Express 21 19047
[6]	The LIGO Scientific Collaboration 2013 Nat. Photonics 7 613
[7]	Grangier P, Slusher R, Yurke B, LaPorta A 1987 Phys. Rev. Lett. 59 2153
[8]	Boto A, Kok P, Abrams D, Braunstein S, Williams C, Dowling J 2000 Phys. Rev. Lett. 85 2733
[9]	Rarity J, Tapster P, Jakeman E, Larchuk T, Campos R, Teich M, Saleh B 1990 Phys. Rev. Lett. 65 1348
[10]	Kuzmich A, Mandel L 1999 Quantum Semiclassical Opt. J. Eur. Opt. Soc. Part B 10 493
[11]	Nagata T, Okamoto R, O'brien J L, Sasaki K, Takeuchi S 2007 Science 316 726
[12]	Ou Z Y 1997 Phys. Rev. A 55 2598
[13]	D'Ariano G, Sacchi M 1995 Phys. Rev. A 52 R4309
[14]	Steuernagel O, Scheel S 2004 J. Opt. B Quantum Semiclassical Opt. 6 S66
[15]	Holland M, Burnett K 1993 Phys. Rev. Lett. 71 1355
[16]	Higgins B L, Berry D W, Bartlett S D, Wiseman H M, Pryde G J 2007 Nature 450 393
[17]	Yurke B, McCall S, Klauder J 1986 Phys. Rev. A 33 4033
[18]	Jing J, Liu C, Zhou Z, Ou Z Y, Zhang W 2011 Appl. Phys. Lett. 99 011110
[19]	Ou Z Y 2012 Phys. Rev. A 85 023815
[20]	Kong J, Ou Z Y, Zhang W 2013 Phys. Rev. A 87 023825
[21]	Li D, Yuan C H, Ou Z Y, Zhang W 2014 New J. Phys. 16 073020
[22]	Hudelist F, Kong J, Liu C, Jing J, Ou Z Y, Zhang W 2014 Nat. Commun. 5 3049
[23]	Beltrán J, Luis A 2005 Phys. Rev. A 72 045801
[24]	Luis A 2004 Phys. Lett. Sect. A Gen. At. Solid State Phys. 329 8
[25]	Boixo S, Flammia S T, Caves C M, Geremia J M 2007 Phys. Rev. Lett. 98 090401
[26]	Napolitano M, Koschorreck M, Dubost B, Behbood N, Sewell R J, Mitchell M W 2011 Nature 471 486
[27]	Yuan C H, Zhang K Y, Zhang W P 2014 Sci. Sin. Informationis 44 345 (in Chinese) [袁春华, 张可烨, 张卫平 2014 中国科学: 信息科学 44 345]
[28]	Zwierz M, Pérez-Delgado C A, Kok P 2010 Phys. Rev. Lett. 105 180402
[29]	Zwierz M, Pérez-Delgado C A, Kok P 2012 Phys. Rev. A 85 042112
[30]	Kimble H, Dagenais M, Mandel L 1977 Phys. Rev. Lett. 39 691
[31]	Zou H, Zhai S, Guo J, Yang R, Gao J 2006 Opt. Lett. 31 1735
[32]	Slusher R, Hollberg L, Yurke B, Mertz J, Valley J 1985 Phys. Rev. Lett. 55 2409
[33]	Wu L-A, Kimble H, Hall J, Wu H 1986 Phys. Rev. Lett. 57 2520
[34]	Gao J, Cui F, Xue C, Xie C, Kunchi P 1998 Opt. Lett. 23 870
[35]	Vahlbruch H, Mehmet M, Chelkowski S, Hage B, Franzen A, Lastzka N, Goßler S, Danzmann K, Schnabel R 2008 Phys. Rev. Lett. 100 033602
[36]	Mehmet M, Vahlbruch H, Lastzka N, Danzmann K, Schnabel R 2010 Phys. Rev. A 81 013814
[37]	Eberle T, Steinlechner S, Bauchrowitz J, Händchen V, Vahlbruch H, Mehmet M, Mller-Ebhardt H, Schnabel R 2010 Phys. Rev. Lett. 104 251102
[38]	Lassen M, Delaubert V, Harb C C, Lam P K, Treps N, Bachor H-A 2006 J. Eur. Opt. Soc. Rapid Publ. 1 6003
[39]	Treps N, Andersen U, Buchler B, Lam P, Maître A, Bachor H A, Fabre C 2002 Phys. Rev. Lett. 88 203601
[40]	Treps N, Grosse N, Bowen W P, Fabre C, Bachor H-A, Lam P K 2003 Science 301 940
[41]	Lassen M, Leuchs G, Andersen U 2009 Phys. Rev. Lett. 102 163602
[42]	Janousek J, Wagner K, Morizur J, Treps N, Lam P K, Harb C C, Bachor H 2009 Nat. Photonics 3 399
[43]	Chalopin B, Scazza F, Fabre C, Treps N 2010 Phys. Rev. A 81 061804
[44]	Chalopin B, Scazza F, Fabre C, Treps N 2011 Opt. Express 19 4405
[45]	Pinel O, Jian P, de Araújo R, Feng J, Chalopin B, Fabre C, Treps N 2012 Phys. Rev. Lett. 108 083601
[46]	Roslund J, de Araújo R M, Jiang S, Fabre C, Treps N 2013 Nat. Photonics 8 109
[47]	Liu K, Cui S Z, Yang R G, Zhang J X, Gao J R 2012 Chin. Phys. Lett. 29 060304
[48]	Liu K, Guo J, Cai C, Guo S, Gao J 2014 Phys. Rev. Lett. 113 170501
[49]	Wolfgramm F, Cerè A, Beduini F A, Predojević A, Koschorreck M, Mitchell M W 2010 Phys. Rev. Lett. 105 053601
[50]	Horrom T, Singh R, Dowling J P, Mikhailov E E 2012 Phys. Rev. A 86 023803
[51]	Otterstrom N, Pooser R C, Lawrie B J 2014 Opt. Lett. 39 6533
[52]	Liu H Y, Chen L, Liu L, Ming Y, Liu K, Zhang J X, Gao J R 2013 Acta Phys. Sin. 62 164206 (in Chinese) [刘洪雨, 陈立, 刘灵, 明莹, 刘奎, 张俊香, 郜江瑞 2013 62 164206]
[53]	Fox A, Baumberg J, Dabbicco M, Huttner B, Ryan J 1995 Phys. Rev. Lett. 74 1728
[54]	Karr J P, Bass A, Houdré R, Giacobino E 2004 Phys. Rev. A 69 031802
[55]	Boulier T, Bamba M, Amo A, Adrados C, Lemaitre A, Galopin E, Sagnes I, Bloch J, Ciuti C, Giacobino E, Bramati A 2014 Nat. Commun. 5 3260
[56]	Safavi-Naeini A H, Gröblacher S, Hill J T, Chan J, Aspelmeyer M, Painter O 2013 Nature 500 185
[57]	Purdy T P, Yu P L, Peterson R W, Kampel N S, Regal C A 2013 Phys. Rev. X 3 031012
[58]	Dirac P A M 1927 Proc. R. Soc. A: Math. Phys. Eng. Sci. 114 243
[59]	Bachor H A, Ralph T C 2004 A Guide to Experiments in Quantum Optics Optics (2nd Ed.) (Berlin: Wiley-VCH.) p113
[60]	Barnett S M, Fabre C, Maître A 2003 Eur. Phys. J. D 22 513
[61]	Scully M O, Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press) p130
[62]	Lang M D, Caves C M 2013 Phys. Rev. Lett. 111 173601
[63]	Bondurant R S, Shapiro J H 1984 Phys. Rev. D 30 2548
[64]	Pezzé L, Smerzi A 2008 Phys. Rev. Lett. 100 073601
[65]	Zhai Z, Gao J 2012 Opt. Express 20 18173
[66]	Yonezawa H, Nakane D, Wheatley T A, Iwasawa K, Takeda S, Arao H, Ohki K, Tsumura K, Berry D W, Ralph T C, Wiseman H M, Huntington E H, Furusawa A 2012 Science 337 1514
[67]	Xiang G Y, Higgins B L, Berry D W, Wiseman H M, Pryde G J 2010 Nat. Photonics 5 43
[68]	Iwasawa K, Makino K, Yonezawa H, Tsang M, Davidovic A, Huntington E, Furusawa A 2013 Phys. Rev. Lett. 111 163602
[69]	Meyer G, Amer N M 1988 Appl. Phys. Lett. 53 1045
[70]	Putman C A J, De Grooth B G, Van Hulst N F, Greve J 1992 J. Appl. Phys. 72 6
[71]	Kolobov M 1999 Rev. Mod. Phys. 71 1539
[72]	Delaubert V, Treps N, Fabre C, Bachor H A, Réfrégier P 2008 EPL 81 44001
[73]	Lugiato L, Gatti A, Brambilla E 2002 J. Opt. B Quantum Semiclass. Opt 4 S176
[74]	Simmons R M, Finer J T, Chu S, Spudich J A 1996 Biophys. J. 70 1813
[75]	Gittes F, Schmidt C F 1998 Opt. Lett. 23 7
[76]	Grier D G 2003 Nature 424 810
[77]	Taylor M A, Janousek J, Daria V, Knittel J, Hage B, Bachor H, Bowen W P 2013 Nat. Photonics 7 229
[78]	Willke B 2005 in Proceedings of the IEEE Quantum Electronics, Laser Science Conference (QELS '05) Maryland, USA 22-27 May, 2005 pp773-775
[79]	Hsu M T L, Delaubert V, Lam P K, Bowen W P 2004 J. Opt. B: Quantum Semiclassical Opt. 6 495
[80]	Delaubert V, Treps N, Lassen M, Harb C C, Fabre C, Lam P K, Bachor H A 2006 Phys. Rev. A 74 53823
[81]	Li R, Zhai Z H, Zhao S J, Gao J R 2010 Acta Phys. Sin. 59 7724 (in Chinese) [李睿, 翟泽辉, 赵姝瑾, 郜江瑞 2010 59 7724]
[82]	Bowen W P, Treps N, Schnabel R, Lam P K 2002 Phys. Rev. Lett. 89 253601
[83]	Delaubert V, Treps N, Harb C C, Lam P K, Bachor H A 2006 Opt. Lett. 31 1537
[84]	Sun H X, Liu Z L, Liu K, Yang R G, Zhang J X, Gao J R 2014 Chin. Phys. Lett. 31 084202
[85]	Sun H, Liu K, Liu Z, Guo P, Zhang J, Gao J 2014 Appl. Phys. Lett. 104 121908
[86]	Korolkova N, Leuchs G, Loudon R, Ralph T C, Silberhorn C 2002 Phys. Rev. A 65 052306
[87]	Bowen W P, Schnabel R, Bachor H A, Lam P K 2002 Phys. Rev. Lett. 88 093601
[88]	Foreman S M 2007 Ph. D. Dissertation (Colorado: University of Colorado)
[89]	Ma L, Bi Z, Bartels A, Robertsson L, Zucco M, Windeler R S, Wilpers G, Oates C, Hollberg L, Diddams S A 2004 Science 303 1843
[90]	Udem T, Riehle F 2007 Riv. del Nuovo Cim. 30 563
[91]	Margolis H S 2010 Contemp. Phys. 51 37
[92]	Lamine B, Fabre C, Treps N 2008 Phys. Rev. Lett. 101 123601
[93]	Goda K, Mikhailov E E, Miyakawa O, Saraf S, Vass S, Weinstein A, Mavalvala N 2008 Opt. Lett. 33 92

施引文献

[1]	Caves C 1981 Phys. Rev. D 23 1693
[2]	Xiao M, Wu L A, Kimble H 1987 Phys. Rev. Lett. 59 278
[3]	Goda K, Miyakawa O, Mikhailov E E, Saraf S, Adhikari R, McKenzie K, Ward R, Vass S, Weinstein A J, Mavalvala N 2008 Nat. Phys. 4 472
[4]	The LIGO Scientific Collaboration 2011 Nat. Phys. 7 962
[5]	Dwyer S, Barsotti L, Chua S S Y, Evans M, Factourovich M, Gustafson D, Isogai T, Kawabe K, Khalaidovski A, Lam P K, Landry M, Mavalvala N, Mcclelland D E, Meadors G D, Schnabel R, Schofield R M S, Stefszky M, Vorvick C, Sigg D 2013 Opt. Express 21 19047
[6]	The LIGO Scientific Collaboration 2013 Nat. Photonics 7 613
[7]	Grangier P, Slusher R, Yurke B, LaPorta A 1987 Phys. Rev. Lett. 59 2153
[8]	Boto A, Kok P, Abrams D, Braunstein S, Williams C, Dowling J 2000 Phys. Rev. Lett. 85 2733
[9]	Rarity J, Tapster P, Jakeman E, Larchuk T, Campos R, Teich M, Saleh B 1990 Phys. Rev. Lett. 65 1348
[10]	Kuzmich A, Mandel L 1999 Quantum Semiclassical Opt. J. Eur. Opt. Soc. Part B 10 493
[11]	Nagata T, Okamoto R, O'brien J L, Sasaki K, Takeuchi S 2007 Science 316 726
[12]	Ou Z Y 1997 Phys. Rev. A 55 2598
[13]	D'Ariano G, Sacchi M 1995 Phys. Rev. A 52 R4309
[14]	Steuernagel O, Scheel S 2004 J. Opt. B Quantum Semiclassical Opt. 6 S66
[15]	Holland M, Burnett K 1993 Phys. Rev. Lett. 71 1355
[16]	Higgins B L, Berry D W, Bartlett S D, Wiseman H M, Pryde G J 2007 Nature 450 393
[17]	Yurke B, McCall S, Klauder J 1986 Phys. Rev. A 33 4033
[18]	Jing J, Liu C, Zhou Z, Ou Z Y, Zhang W 2011 Appl. Phys. Lett. 99 011110
[19]	Ou Z Y 2012 Phys. Rev. A 85 023815
[20]	Kong J, Ou Z Y, Zhang W 2013 Phys. Rev. A 87 023825
[21]	Li D, Yuan C H, Ou Z Y, Zhang W 2014 New J. Phys. 16 073020
[22]	Hudelist F, Kong J, Liu C, Jing J, Ou Z Y, Zhang W 2014 Nat. Commun. 5 3049
[23]	Beltrán J, Luis A 2005 Phys. Rev. A 72 045801
[24]	Luis A 2004 Phys. Lett. Sect. A Gen. At. Solid State Phys. 329 8
[25]	Boixo S, Flammia S T, Caves C M, Geremia J M 2007 Phys. Rev. Lett. 98 090401
[26]	Napolitano M, Koschorreck M, Dubost B, Behbood N, Sewell R J, Mitchell M W 2011 Nature 471 486
[27]	Yuan C H, Zhang K Y, Zhang W P 2014 Sci. Sin. Informationis 44 345 (in Chinese) [袁春华, 张可烨, 张卫平 2014 中国科学: 信息科学 44 345]
[28]	Zwierz M, Pérez-Delgado C A, Kok P 2010 Phys. Rev. Lett. 105 180402
[29]	Zwierz M, Pérez-Delgado C A, Kok P 2012 Phys. Rev. A 85 042112
[30]	Kimble H, Dagenais M, Mandel L 1977 Phys. Rev. Lett. 39 691
[31]	Zou H, Zhai S, Guo J, Yang R, Gao J 2006 Opt. Lett. 31 1735
[32]	Slusher R, Hollberg L, Yurke B, Mertz J, Valley J 1985 Phys. Rev. Lett. 55 2409
[33]	Wu L-A, Kimble H, Hall J, Wu H 1986 Phys. Rev. Lett. 57 2520
[34]	Gao J, Cui F, Xue C, Xie C, Kunchi P 1998 Opt. Lett. 23 870
[35]	Vahlbruch H, Mehmet M, Chelkowski S, Hage B, Franzen A, Lastzka N, Goßler S, Danzmann K, Schnabel R 2008 Phys. Rev. Lett. 100 033602
[36]	Mehmet M, Vahlbruch H, Lastzka N, Danzmann K, Schnabel R 2010 Phys. Rev. A 81 013814
[37]	Eberle T, Steinlechner S, Bauchrowitz J, Händchen V, Vahlbruch H, Mehmet M, Mller-Ebhardt H, Schnabel R 2010 Phys. Rev. Lett. 104 251102
[38]	Lassen M, Delaubert V, Harb C C, Lam P K, Treps N, Bachor H-A 2006 J. Eur. Opt. Soc. Rapid Publ. 1 6003
[39]	Treps N, Andersen U, Buchler B, Lam P, Maître A, Bachor H A, Fabre C 2002 Phys. Rev. Lett. 88 203601
[40]	Treps N, Grosse N, Bowen W P, Fabre C, Bachor H-A, Lam P K 2003 Science 301 940
[41]	Lassen M, Leuchs G, Andersen U 2009 Phys. Rev. Lett. 102 163602
[42]	Janousek J, Wagner K, Morizur J, Treps N, Lam P K, Harb C C, Bachor H 2009 Nat. Photonics 3 399
[43]	Chalopin B, Scazza F, Fabre C, Treps N 2010 Phys. Rev. A 81 061804
[44]	Chalopin B, Scazza F, Fabre C, Treps N 2011 Opt. Express 19 4405
[45]	Pinel O, Jian P, de Araújo R, Feng J, Chalopin B, Fabre C, Treps N 2012 Phys. Rev. Lett. 108 083601
[46]	Roslund J, de Araújo R M, Jiang S, Fabre C, Treps N 2013 Nat. Photonics 8 109
[47]	Liu K, Cui S Z, Yang R G, Zhang J X, Gao J R 2012 Chin. Phys. Lett. 29 060304
[48]	Liu K, Guo J, Cai C, Guo S, Gao J 2014 Phys. Rev. Lett. 113 170501
[49]	Wolfgramm F, Cerè A, Beduini F A, Predojević A, Koschorreck M, Mitchell M W 2010 Phys. Rev. Lett. 105 053601
[50]	Horrom T, Singh R, Dowling J P, Mikhailov E E 2012 Phys. Rev. A 86 023803
[51]	Otterstrom N, Pooser R C, Lawrie B J 2014 Opt. Lett. 39 6533
[52]	Liu H Y, Chen L, Liu L, Ming Y, Liu K, Zhang J X, Gao J R 2013 Acta Phys. Sin. 62 164206 (in Chinese) [刘洪雨, 陈立, 刘灵, 明莹, 刘奎, 张俊香, 郜江瑞 2013 62 164206]
[53]	Fox A, Baumberg J, Dabbicco M, Huttner B, Ryan J 1995 Phys. Rev. Lett. 74 1728
[54]	Karr J P, Bass A, Houdré R, Giacobino E 2004 Phys. Rev. A 69 031802
[55]	Boulier T, Bamba M, Amo A, Adrados C, Lemaitre A, Galopin E, Sagnes I, Bloch J, Ciuti C, Giacobino E, Bramati A 2014 Nat. Commun. 5 3260
[56]	Safavi-Naeini A H, Gröblacher S, Hill J T, Chan J, Aspelmeyer M, Painter O 2013 Nature 500 185
[57]	Purdy T P, Yu P L, Peterson R W, Kampel N S, Regal C A 2013 Phys. Rev. X 3 031012
[58]	Dirac P A M 1927 Proc. R. Soc. A: Math. Phys. Eng. Sci. 114 243
[59]	Bachor H A, Ralph T C 2004 A Guide to Experiments in Quantum Optics Optics (2nd Ed.) (Berlin: Wiley-VCH.) p113
[60]	Barnett S M, Fabre C, Maître A 2003 Eur. Phys. J. D 22 513
[61]	Scully M O, Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press) p130
[62]	Lang M D, Caves C M 2013 Phys. Rev. Lett. 111 173601
[63]	Bondurant R S, Shapiro J H 1984 Phys. Rev. D 30 2548
[64]	Pezzé L, Smerzi A 2008 Phys. Rev. Lett. 100 073601
[65]	Zhai Z, Gao J 2012 Opt. Express 20 18173
[66]	Yonezawa H, Nakane D, Wheatley T A, Iwasawa K, Takeda S, Arao H, Ohki K, Tsumura K, Berry D W, Ralph T C, Wiseman H M, Huntington E H, Furusawa A 2012 Science 337 1514
[67]	Xiang G Y, Higgins B L, Berry D W, Wiseman H M, Pryde G J 2010 Nat. Photonics 5 43
[68]	Iwasawa K, Makino K, Yonezawa H, Tsang M, Davidovic A, Huntington E, Furusawa A 2013 Phys. Rev. Lett. 111 163602
[69]	Meyer G, Amer N M 1988 Appl. Phys. Lett. 53 1045
[70]	Putman C A J, De Grooth B G, Van Hulst N F, Greve J 1992 J. Appl. Phys. 72 6
[71]	Kolobov M 1999 Rev. Mod. Phys. 71 1539
[72]	Delaubert V, Treps N, Fabre C, Bachor H A, Réfrégier P 2008 EPL 81 44001
[73]	Lugiato L, Gatti A, Brambilla E 2002 J. Opt. B Quantum Semiclass. Opt 4 S176
[74]	Simmons R M, Finer J T, Chu S, Spudich J A 1996 Biophys. J. 70 1813
[75]	Gittes F, Schmidt C F 1998 Opt. Lett. 23 7
[76]	Grier D G 2003 Nature 424 810
[77]	Taylor M A, Janousek J, Daria V, Knittel J, Hage B, Bachor H, Bowen W P 2013 Nat. Photonics 7 229
[78]	Willke B 2005 in Proceedings of the IEEE Quantum Electronics, Laser Science Conference (QELS '05) Maryland, USA 22-27 May, 2005 pp773-775
[79]	Hsu M T L, Delaubert V, Lam P K, Bowen W P 2004 J. Opt. B: Quantum Semiclassical Opt. 6 495
[80]	Delaubert V, Treps N, Lassen M, Harb C C, Fabre C, Lam P K, Bachor H A 2006 Phys. Rev. A 74 53823
[81]	Li R, Zhai Z H, Zhao S J, Gao J R 2010 Acta Phys. Sin. 59 7724 (in Chinese) [李睿, 翟泽辉, 赵姝瑾, 郜江瑞 2010 59 7724]
[82]	Bowen W P, Treps N, Schnabel R, Lam P K 2002 Phys. Rev. Lett. 89 253601
[83]	Delaubert V, Treps N, Harb C C, Lam P K, Bachor H A 2006 Opt. Lett. 31 1537
[84]	Sun H X, Liu Z L, Liu K, Yang R G, Zhang J X, Gao J R 2014 Chin. Phys. Lett. 31 084202
[85]	Sun H, Liu K, Liu Z, Guo P, Zhang J, Gao J 2014 Appl. Phys. Lett. 104 121908
[86]	Korolkova N, Leuchs G, Loudon R, Ralph T C, Silberhorn C 2002 Phys. Rev. A 65 052306
[87]	Bowen W P, Schnabel R, Bachor H A, Lam P K 2002 Phys. Rev. Lett. 88 093601
[88]	Foreman S M 2007 Ph. D. Dissertation (Colorado: University of Colorado)
[89]	Ma L, Bi Z, Bartels A, Robertsson L, Zucco M, Windeler R S, Wilpers G, Oates C, Hollberg L, Diddams S A 2004 Science 303 1843
[90]	Udem T, Riehle F 2007 Riv. del Nuovo Cim. 30 563
[91]	Margolis H S 2010 Contemp. Phys. 51 37
[92]	Lamine B, Fabre C, Treps N 2008 Phys. Rev. Lett. 101 123601
[93]	Goda K, Mikhailov E E, Miyakawa O, Saraf S, Vass S, Weinstein A, Mavalvala N 2008 Opt. Lett. 33 92

[1]	孙小聪, 李卫, 王雅君, 郑耀辉. 基于压缩态光场的量子增强型光学相位追踪. , 2024, 73(5): 054203. doi: 10.7498/aps.73.20231835
[2]	潘建伟. 量子信息科技的发展现状与展望. , 2024, 73(1): 010301. doi: 10.7498/aps.73.20231795
[3]	王玉坤, 李泽阳, 许康, 王子正. 制备-测量量子比特系统的自测试标准. , 2023, 72(10): 100303. doi: 10.7498/aps.72.20222431
[4]	范桁. 量子计算纠错取得突破性进展. , 2023, 72(7): 070303. doi: 10.7498/aps.72.20230330
[5]	韩彦睿, 李伟, 臧延华, 杨昌钢, 陈瑞云, 张国峰, 秦成兵, 胡建勇, 肖连团. 基于量子压缩感知的宽带射频信号测量. , 2023, 72(16): 160301. doi: 10.7498/aps.72.20230398
[6]	孙思彤, 丁应星, 刘伍明. 基于线性与非线性干涉仪的量子精密测量研究进展. , 2022, 71(13): 130701. doi: 10.7498/aps.71.20220425
[7]	李庆回, 姚文秀, 李番, 田龙, 王雅君, 郑耀辉. 明亮压缩态光场的操控及量子层析. , 2021, 70(15): 154203. doi: 10.7498/aps.70.20210318
[8]	杨志平, 孔熙, 石发展(Fazhan Shi), 杜江峰. 金刚石表面纳米尺度水分子的相变观测. , 2021, (): . doi: 10.7498/aps.70.20211348
[9]	李森, 李浩珍, 许静平, 朱成杰, 羊亚平. 基于腔光力学系统的全光三极管的压缩特性. , 2019, 68(17): 174202. doi: 10.7498/aps.68.20190078
[10]	鹿博, 韩成银, 庄敏, 柯勇贯, 黄嘉豪, 李朝红. 超冷原子系综的非高斯纠缠态与精密测量. , 2019, 68(4): 040306. doi: 10.7498/aps.68.20190147
[11]	王兰若, 钟源, 李劲劲, 屈继峰, 钟青, 曹文会, 王雪深, 周志强, 付凯, 石勇. 用于精密测量玻尔兹曼常数的量子电压噪声源芯片研制. , 2018, 67(10): 108501. doi: 10.7498/aps.67.20172643
[12]	郑盟锟, 尤力. 能够突破标准量子极限的原子双数态的制备研究. , 2018, 67(16): 160303. doi: 10.7498/aps.67.20181029
[13]	成健, 冯晋霞, 李渊骥, 张宽收. 基于量子增强型光纤马赫-曾德尔干涉仪的低频信号测量. , 2018, 67(24): 244202. doi: 10.7498/aps.67.20181335
[14]	邓瑞婕, 闫智辉, 贾晓军. 基于电磁诱导透明机制的压缩光场量子存储. , 2017, 66(7): 074201. doi: 10.7498/aps.66.074201
[15]	常锋, 王晓茜, 盖永杰, 严冬, 宋立军. 光与物质相互作用系统中的量子Fisher信息和自旋压缩. , 2014, 63(17): 170302. doi: 10.7498/aps.63.170302
[16]	刘洪雨, 陈立, 刘灵, 明莹, 刘奎, 张俊香, 郜江瑞. 飞秒脉冲正交位相压缩光的产生. , 2013, 62(16): 164206. doi: 10.7498/aps.62.164206
[17]	黄春佳, 厉江帆, 贺慧勇. 压缩真空场与耦合双原子Raman相互作用过程中光场的量子特性. , 2001, 50(3): 473-477. doi: 10.7498/aps.50.473
[18]	黄春佳, 周明, 厉江帆, 孔凡志. 双模压缩真空场与耦合双原子相互作用系统中光场的量子特性. , 2000, 49(11): 2159-2164. doi: 10.7498/aps.49.2159
[19]	黄春佳, 周明, 厉江帆, 方家元, 黄祖洪, 贺慧勇. 虚光场对双模压缩真空场中原子量子特性的影响. , 2000, 49(8): 1490-1494. doi: 10.7498/aps.49.1490
[20]	张俊香, 贺凌翔, 张天才, 谢常德, 彭昆墀. 压缩态光场的四阶量子干涉. , 1999, 48(7): 1230-1235. doi: 10.7498/aps.48.1230

计量

文章访问数: 10887
PDF下载量: 1088
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板