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Spin noise spectroscopy is a non-demolition technique to detect the spin dynamics, and it is a good way to realize spin property under thermal equilibrium. Since spin noise arises from spin fluctuation at thermal equilibrium, it is a weak signal, therefore, various methods are used to enhance the signal-to-noise ratio(SNR) of the measurement system. To study the influence from different factors on the quality of spin noise spectroscopy, we report spin noise spectroscopy measurements in Rubidium vapor with three methods: a commercial frequency analyzer, a data acquisition card(DAC) with fast Fourier transform(FFT) done by a computer, and a DAC with real-time FFT based on FPGA(field-programmable gate array), respectively. According to the experimental results, we discuss several parameters and their influences on the SNR of the spectrum, including spectrum accumulation time, measurement efficiency and acquisition resolution. We find that the accumulation time is the most important factor for achieving high-quality spectrum. Measurement efficiency indicates how a good quality of the spin noise spectroscopy can be achieved in a finite time period, and we make a comparison of measurement efficiency among three methods. However, improvement of acquisition resolution does not make much more contribution to the quality of spin noise spectroscopy. Taken all into account, the DAC with real-time FFT performs best due to its bigger data utilization ratio, higher measurement efficiency and the multiplex advantage, thus it is more helpful for spin noise spectroscopy measurement in the study of spin dynamics.
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Keywords:
- spin noise spectroscopy /
- Rb vapor /
- signal-to-noise ratio /
- Faraday rotation
[1] Forrester A T, Gudmundsen R A, Johnson P O 1955 Phys. Rev. 99 1691
[2] Crooker S A, Rickel D G, Balatsky A V, Smith D L 2004 Nature 431 49
[3] Horn H, Mller G M, Rasel E M, Santos L, Hbner J, Oestreich M 2011 Phys. Rev. A 84 043851
[4] Zapasskii V S, Greilich A, Crooker S A, Li Y, Kozlov G G, Yakovlev D R, Reuter D, Wieck A D, Bayer M 2013 Phys. Rev. Lett. 110 176601
[5] Oestreich M, Römer M, Haug R J, Högele D 2005 Phys. Rev. Lett. 95 216603
[6] Mller G M, Römer M, Schuh D, Wegscheider W, Hbner J, Oestreich M 2008 Phys. Rev. Lett. 101 206601
[7] Li Y, Sinitsyn N, Smith D L, Reuter D, Wieck A D, Yakovlev D R, Bayer M, Crooker S A 2012 Phys. Rev. Lett. 108 186603
[8] Dyakonov M（translated by Ji Y) 1987 Spin Physics in Semicondoctors（Beijing:Science Press) pp117-119(in Chinese)[M. I. 迪阿科诺夫主编(姬扬译) 2010半导体中的自旋物理学(北京:科学出版社)第117–119页]
[9] Zapasskii V S, Przhibelskii S G 2011 Opt. Spectrosc. 110 917
[10] Crooker S A, Brandt J, Sandfort C, Greilich A, Yakovlev D R, Reuter D, Wieck A D, Bayer M 2010 Phys. Rev. Lett. 104 036601
[11] Mller G M, Römer M, Hbner J, Oestreich M 2010 Appl. Phys. Lett. 97 192109
[12] Aleksandrov E B, Zapasskii V S 2012 J. Phys.:Conference Series 397 012030
[13] Mller G M, Oestreich M, Römer M, Hbner J 2010 Physica E 43 569
[14] Arimondo E, Inguscio M, Violino P 1977 Rev. Mod. Phys. 49 31
[15] Bize S, Sortais Y, Santos M S, Mandache C, Clairon A, Salomon C 1999 Europhys. Lett. 45 558
[16] Treffers R R 1948 Bell Syst. Tech. 27 446
[17] Demtröder W（translated by Ji Y) 2008 Laser Spectroscopy. Vol. 1:Basic Principles（Beijing:Science Press) pp162-163(in Chinese)[戴姆特瑞德著(姬扬译) 2012激光光谱学:原书第四版第1卷基础理论(北京:科学出版社)第162–163页]
[18] Ott H W（translated by Zou P et al.) 2009 Electromagnetic Compatibility Engineering（Beijing:Tsinghua University Press) pp195(in Chinese)[奥特著(邹鹏等译) 2013电磁兼容工程(北京:清华大学出版社)第195页]
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[1] Forrester A T, Gudmundsen R A, Johnson P O 1955 Phys. Rev. 99 1691
[2] Crooker S A, Rickel D G, Balatsky A V, Smith D L 2004 Nature 431 49
[3] Horn H, Mller G M, Rasel E M, Santos L, Hbner J, Oestreich M 2011 Phys. Rev. A 84 043851
[4] Zapasskii V S, Greilich A, Crooker S A, Li Y, Kozlov G G, Yakovlev D R, Reuter D, Wieck A D, Bayer M 2013 Phys. Rev. Lett. 110 176601
[5] Oestreich M, Römer M, Haug R J, Högele D 2005 Phys. Rev. Lett. 95 216603
[6] Mller G M, Römer M, Schuh D, Wegscheider W, Hbner J, Oestreich M 2008 Phys. Rev. Lett. 101 206601
[7] Li Y, Sinitsyn N, Smith D L, Reuter D, Wieck A D, Yakovlev D R, Bayer M, Crooker S A 2012 Phys. Rev. Lett. 108 186603
[8] Dyakonov M（translated by Ji Y) 1987 Spin Physics in Semicondoctors（Beijing:Science Press) pp117-119(in Chinese)[M. I. 迪阿科诺夫主编(姬扬译) 2010半导体中的自旋物理学(北京:科学出版社)第117–119页]
[9] Zapasskii V S, Przhibelskii S G 2011 Opt. Spectrosc. 110 917
[10] Crooker S A, Brandt J, Sandfort C, Greilich A, Yakovlev D R, Reuter D, Wieck A D, Bayer M 2010 Phys. Rev. Lett. 104 036601
[11] Mller G M, Römer M, Hbner J, Oestreich M 2010 Appl. Phys. Lett. 97 192109
[12] Aleksandrov E B, Zapasskii V S 2012 J. Phys.:Conference Series 397 012030
[13] Mller G M, Oestreich M, Römer M, Hbner J 2010 Physica E 43 569
[14] Arimondo E, Inguscio M, Violino P 1977 Rev. Mod. Phys. 49 31
[15] Bize S, Sortais Y, Santos M S, Mandache C, Clairon A, Salomon C 1999 Europhys. Lett. 45 558
[16] Treffers R R 1948 Bell Syst. Tech. 27 446
[17] Demtröder W（translated by Ji Y) 2008 Laser Spectroscopy. Vol. 1:Basic Principles（Beijing:Science Press) pp162-163(in Chinese)[戴姆特瑞德著(姬扬译) 2012激光光谱学:原书第四版第1卷基础理论(北京:科学出版社)第162–163页]
[18] Ott H W（translated by Zou P et al.) 2009 Electromagnetic Compatibility Engineering（Beijing:Tsinghua University Press) pp195(in Chinese)[奥特著(邹鹏等译) 2013电磁兼容工程(北京:清华大学出版社)第195页]
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