Abstract

We use Faraday spectroscopy of atoms confined to crossed hollow beam tweezers to map magnetic fields over 3 millimeters with 200 micron resolution in a single trap loading cycle. The hollow beams are formed using spatial light modulation, and the trap location is scanned using acousto-optic deflectors. We demonstrate the technique by mapping a linear quadrupole magnetic field with 10 nT sensitivity.

© 2010 OSA

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  1. N. Friedman, A. Kaplan, and N. Davidson, “Dark optical traps for cold atoms,” Adv. At. Mol. Opt. Phys. 48, 99–151 (2002).
    [CrossRef]
  2. M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “Faraday spectroscopy of atoms confined in a dark optical trap,” Phys. Rev. A 77(6), 063417 (2008).
    [CrossRef]
  3. M. V. Romalis and E. N. Fortson, “Zeeman frequency shifts in an optical dipole trap used to search for an electric-dipole moment,” Phys. Rev. A 59(6), 4547–4558 (1999).
    [CrossRef]
  4. T. Isayama, Y. Takahashi, N. Tanaka, K. Toyoda, K. Ishikawa, and T. Yabuzaki, “Observation of Larmor spin precession of laser-cooled Rb atoms via paramagnetic Faraday rotation,” Phys. Rev. A 59(6), 4836–4839 (1999).
    [CrossRef]
  5. M. Vengalattore, J. M. Higbie, S. R. Leslie, J. Guzman, L. E. Sadler, and D. M. Stamper-Kurn, “High-resolution magnetometry with a spinor Bose-Einstein condensate,” Phys. Rev. Lett. 98(20), 200801 (2007).
    [CrossRef] [PubMed]
  6. G. A. Smith, S. Chaudhury, A. Silberfarb, I. H. Deutsch, and P. S. Jessen, “Continuous weak measurement and nonlinear dynamics in a cold spin ensemble,” Phys. Rev. Lett. 93(16), 163602 (2004).
    [CrossRef] [PubMed]
  7. G. A. Smith, S. Chaudhury, and P. S. Jessen, “Faraday spectroscopy in an optical lattice: a continuous probe of atom dynamics,” J. Opt. B Quantum Semiclassical Opt. 5(4), 323–329 (2003).
    [CrossRef]
  8. S. Wildermuth, S. Hofferberth, I. Lesanovsky, S. Groth, P. Krüger, J. Schmiedmayer, and I. Bar-Joseph, “Sensing electric and magnetic fields with Bose-Einstein condensates,” Appl. Phys. Lett. 88(26), 264103 (2006).
    [CrossRef]
  9. S. Chatraphorn, E. F. Fleet, F. C. Wellstood, L. A. Knauss, and T. M. Eiles, “Scanning SQUID microscopy of integrated circuits,” Appl. Phys. Lett. 76(16), 2304 (2000).
    [CrossRef]
  10. Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
    [CrossRef] [PubMed]
  11. F. K. Fatemi, M. Bashkansky, and Z. Dutton, “Dynamic high-speed spatial manipulation of cold atoms using acousto-optic and spatial light modulation,” Opt. Express 15(6), 3589–3596 (2007).
    [CrossRef] [PubMed]
  12. M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “A single-shot imaging magnetometer using cold atoms,” Opt. Express 16(17), 13062–13069 (2008).
    [CrossRef] [PubMed]
  13. F. K. Fatemi and M. Bashkansky, “Focusing properties of high charge number vortex laser beams,” Appl. Opt. 46(30), 7573–7578 (2007).
    [CrossRef] [PubMed]

2008

M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “Faraday spectroscopy of atoms confined in a dark optical trap,” Phys. Rev. A 77(6), 063417 (2008).
[CrossRef]

M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “A single-shot imaging magnetometer using cold atoms,” Opt. Express 16(17), 13062–13069 (2008).
[CrossRef] [PubMed]

2007

F. K. Fatemi and M. Bashkansky, “Focusing properties of high charge number vortex laser beams,” Appl. Opt. 46(30), 7573–7578 (2007).
[CrossRef] [PubMed]

F. K. Fatemi, M. Bashkansky, and Z. Dutton, “Dynamic high-speed spatial manipulation of cold atoms using acousto-optic and spatial light modulation,” Opt. Express 15(6), 3589–3596 (2007).
[CrossRef] [PubMed]

M. Vengalattore, J. M. Higbie, S. R. Leslie, J. Guzman, L. E. Sadler, and D. M. Stamper-Kurn, “High-resolution magnetometry with a spinor Bose-Einstein condensate,” Phys. Rev. Lett. 98(20), 200801 (2007).
[CrossRef] [PubMed]

2006

S. Wildermuth, S. Hofferberth, I. Lesanovsky, S. Groth, P. Krüger, J. Schmiedmayer, and I. Bar-Joseph, “Sensing electric and magnetic fields with Bose-Einstein condensates,” Appl. Phys. Lett. 88(26), 264103 (2006).
[CrossRef]

2005

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

2004

G. A. Smith, S. Chaudhury, A. Silberfarb, I. H. Deutsch, and P. S. Jessen, “Continuous weak measurement and nonlinear dynamics in a cold spin ensemble,” Phys. Rev. Lett. 93(16), 163602 (2004).
[CrossRef] [PubMed]

2003

G. A. Smith, S. Chaudhury, and P. S. Jessen, “Faraday spectroscopy in an optical lattice: a continuous probe of atom dynamics,” J. Opt. B Quantum Semiclassical Opt. 5(4), 323–329 (2003).
[CrossRef]

2002

N. Friedman, A. Kaplan, and N. Davidson, “Dark optical traps for cold atoms,” Adv. At. Mol. Opt. Phys. 48, 99–151 (2002).
[CrossRef]

2000

S. Chatraphorn, E. F. Fleet, F. C. Wellstood, L. A. Knauss, and T. M. Eiles, “Scanning SQUID microscopy of integrated circuits,” Appl. Phys. Lett. 76(16), 2304 (2000).
[CrossRef]

1999

M. V. Romalis and E. N. Fortson, “Zeeman frequency shifts in an optical dipole trap used to search for an electric-dipole moment,” Phys. Rev. A 59(6), 4547–4558 (1999).
[CrossRef]

T. Isayama, Y. Takahashi, N. Tanaka, K. Toyoda, K. Ishikawa, and T. Yabuzaki, “Observation of Larmor spin precession of laser-cooled Rb atoms via paramagnetic Faraday rotation,” Phys. Rev. A 59(6), 4836–4839 (1999).
[CrossRef]

Anderson, D. Z.

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

Bar-Joseph, I.

S. Wildermuth, S. Hofferberth, I. Lesanovsky, S. Groth, P. Krüger, J. Schmiedmayer, and I. Bar-Joseph, “Sensing electric and magnetic fields with Bose-Einstein condensates,” Appl. Phys. Lett. 88(26), 264103 (2006).
[CrossRef]

Bashkansky, M.

M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “Faraday spectroscopy of atoms confined in a dark optical trap,” Phys. Rev. A 77(6), 063417 (2008).
[CrossRef]

M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “A single-shot imaging magnetometer using cold atoms,” Opt. Express 16(17), 13062–13069 (2008).
[CrossRef] [PubMed]

F. K. Fatemi, M. Bashkansky, and Z. Dutton, “Dynamic high-speed spatial manipulation of cold atoms using acousto-optic and spatial light modulation,” Opt. Express 15(6), 3589–3596 (2007).
[CrossRef] [PubMed]

F. K. Fatemi and M. Bashkansky, “Focusing properties of high charge number vortex laser beams,” Appl. Opt. 46(30), 7573–7578 (2007).
[CrossRef] [PubMed]

Bright, V. M.

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

Chatraphorn, S.

S. Chatraphorn, E. F. Fleet, F. C. Wellstood, L. A. Knauss, and T. M. Eiles, “Scanning SQUID microscopy of integrated circuits,” Appl. Phys. Lett. 76(16), 2304 (2000).
[CrossRef]

Chaudhury, S.

G. A. Smith, S. Chaudhury, A. Silberfarb, I. H. Deutsch, and P. S. Jessen, “Continuous weak measurement and nonlinear dynamics in a cold spin ensemble,” Phys. Rev. Lett. 93(16), 163602 (2004).
[CrossRef] [PubMed]

G. A. Smith, S. Chaudhury, and P. S. Jessen, “Faraday spectroscopy in an optical lattice: a continuous probe of atom dynamics,” J. Opt. B Quantum Semiclassical Opt. 5(4), 323–329 (2003).
[CrossRef]

Cornell, E. A.

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

Davidson, N.

N. Friedman, A. Kaplan, and N. Davidson, “Dark optical traps for cold atoms,” Adv. At. Mol. Opt. Phys. 48, 99–151 (2002).
[CrossRef]

Deutsch, I. H.

G. A. Smith, S. Chaudhury, A. Silberfarb, I. H. Deutsch, and P. S. Jessen, “Continuous weak measurement and nonlinear dynamics in a cold spin ensemble,” Phys. Rev. Lett. 93(16), 163602 (2004).
[CrossRef] [PubMed]

Diot, Q.

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

Dutton, Z.

F. K. Fatemi, M. Bashkansky, and Z. Dutton, “Dynamic high-speed spatial manipulation of cold atoms using acousto-optic and spatial light modulation,” Opt. Express 15(6), 3589–3596 (2007).
[CrossRef] [PubMed]

Eiles, T. M.

S. Chatraphorn, E. F. Fleet, F. C. Wellstood, L. A. Knauss, and T. M. Eiles, “Scanning SQUID microscopy of integrated circuits,” Appl. Phys. Lett. 76(16), 2304 (2000).
[CrossRef]

Fatemi, F. K.

M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “A single-shot imaging magnetometer using cold atoms,” Opt. Express 16(17), 13062–13069 (2008).
[CrossRef] [PubMed]

M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “Faraday spectroscopy of atoms confined in a dark optical trap,” Phys. Rev. A 77(6), 063417 (2008).
[CrossRef]

F. K. Fatemi and M. Bashkansky, “Focusing properties of high charge number vortex laser beams,” Appl. Opt. 46(30), 7573–7578 (2007).
[CrossRef] [PubMed]

F. K. Fatemi, M. Bashkansky, and Z. Dutton, “Dynamic high-speed spatial manipulation of cold atoms using acousto-optic and spatial light modulation,” Opt. Express 15(6), 3589–3596 (2007).
[CrossRef] [PubMed]

Fleet, E. F.

S. Chatraphorn, E. F. Fleet, F. C. Wellstood, L. A. Knauss, and T. M. Eiles, “Scanning SQUID microscopy of integrated circuits,” Appl. Phys. Lett. 76(16), 2304 (2000).
[CrossRef]

Fortson, E. N.

M. V. Romalis and E. N. Fortson, “Zeeman frequency shifts in an optical dipole trap used to search for an electric-dipole moment,” Phys. Rev. A 59(6), 4547–4558 (1999).
[CrossRef]

Friedman, N.

N. Friedman, A. Kaplan, and N. Davidson, “Dark optical traps for cold atoms,” Adv. At. Mol. Opt. Phys. 48, 99–151 (2002).
[CrossRef]

Groth, S.

S. Wildermuth, S. Hofferberth, I. Lesanovsky, S. Groth, P. Krüger, J. Schmiedmayer, and I. Bar-Joseph, “Sensing electric and magnetic fields with Bose-Einstein condensates,” Appl. Phys. Lett. 88(26), 264103 (2006).
[CrossRef]

Guzman, J.

M. Vengalattore, J. M. Higbie, S. R. Leslie, J. Guzman, L. E. Sadler, and D. M. Stamper-Kurn, “High-resolution magnetometry with a spinor Bose-Einstein condensate,” Phys. Rev. Lett. 98(20), 200801 (2007).
[CrossRef] [PubMed]

Higbie, J. M.

M. Vengalattore, J. M. Higbie, S. R. Leslie, J. Guzman, L. E. Sadler, and D. M. Stamper-Kurn, “High-resolution magnetometry with a spinor Bose-Einstein condensate,” Phys. Rev. Lett. 98(20), 200801 (2007).
[CrossRef] [PubMed]

Hofferberth, S.

S. Wildermuth, S. Hofferberth, I. Lesanovsky, S. Groth, P. Krüger, J. Schmiedmayer, and I. Bar-Joseph, “Sensing electric and magnetic fields with Bose-Einstein condensates,” Appl. Phys. Lett. 88(26), 264103 (2006).
[CrossRef]

Isayama, T.

T. Isayama, Y. Takahashi, N. Tanaka, K. Toyoda, K. Ishikawa, and T. Yabuzaki, “Observation of Larmor spin precession of laser-cooled Rb atoms via paramagnetic Faraday rotation,” Phys. Rev. A 59(6), 4836–4839 (1999).
[CrossRef]

Ishikawa, K.

T. Isayama, Y. Takahashi, N. Tanaka, K. Toyoda, K. Ishikawa, and T. Yabuzaki, “Observation of Larmor spin precession of laser-cooled Rb atoms via paramagnetic Faraday rotation,” Phys. Rev. A 59(6), 4836–4839 (1999).
[CrossRef]

Jessen, P. S.

G. A. Smith, S. Chaudhury, A. Silberfarb, I. H. Deutsch, and P. S. Jessen, “Continuous weak measurement and nonlinear dynamics in a cold spin ensemble,” Phys. Rev. Lett. 93(16), 163602 (2004).
[CrossRef] [PubMed]

G. A. Smith, S. Chaudhury, and P. S. Jessen, “Faraday spectroscopy in an optical lattice: a continuous probe of atom dynamics,” J. Opt. B Quantum Semiclassical Opt. 5(4), 323–329 (2003).
[CrossRef]

Kaplan, A.

N. Friedman, A. Kaplan, and N. Davidson, “Dark optical traps for cold atoms,” Adv. At. Mol. Opt. Phys. 48, 99–151 (2002).
[CrossRef]

Kishimoto, T.

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

Knauss, L. A.

S. Chatraphorn, E. F. Fleet, F. C. Wellstood, L. A. Knauss, and T. M. Eiles, “Scanning SQUID microscopy of integrated circuits,” Appl. Phys. Lett. 76(16), 2304 (2000).
[CrossRef]

Krüger, P.

S. Wildermuth, S. Hofferberth, I. Lesanovsky, S. Groth, P. Krüger, J. Schmiedmayer, and I. Bar-Joseph, “Sensing electric and magnetic fields with Bose-Einstein condensates,” Appl. Phys. Lett. 88(26), 264103 (2006).
[CrossRef]

Lesanovsky, I.

S. Wildermuth, S. Hofferberth, I. Lesanovsky, S. Groth, P. Krüger, J. Schmiedmayer, and I. Bar-Joseph, “Sensing electric and magnetic fields with Bose-Einstein condensates,” Appl. Phys. Lett. 88(26), 264103 (2006).
[CrossRef]

Leslie, S. R.

M. Vengalattore, J. M. Higbie, S. R. Leslie, J. Guzman, L. E. Sadler, and D. M. Stamper-Kurn, “High-resolution magnetometry with a spinor Bose-Einstein condensate,” Phys. Rev. Lett. 98(20), 200801 (2007).
[CrossRef] [PubMed]

Prentiss, M.

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

Romalis, M. V.

M. V. Romalis and E. N. Fortson, “Zeeman frequency shifts in an optical dipole trap used to search for an electric-dipole moment,” Phys. Rev. A 59(6), 4547–4558 (1999).
[CrossRef]

Sadler, L. E.

M. Vengalattore, J. M. Higbie, S. R. Leslie, J. Guzman, L. E. Sadler, and D. M. Stamper-Kurn, “High-resolution magnetometry with a spinor Bose-Einstein condensate,” Phys. Rev. Lett. 98(20), 200801 (2007).
[CrossRef] [PubMed]

Saravanan, R. A.

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

Schmiedmayer, J.

S. Wildermuth, S. Hofferberth, I. Lesanovsky, S. Groth, P. Krüger, J. Schmiedmayer, and I. Bar-Joseph, “Sensing electric and magnetic fields with Bose-Einstein condensates,” Appl. Phys. Lett. 88(26), 264103 (2006).
[CrossRef]

Segal, S. R.

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

Silberfarb, A.

G. A. Smith, S. Chaudhury, A. Silberfarb, I. H. Deutsch, and P. S. Jessen, “Continuous weak measurement and nonlinear dynamics in a cold spin ensemble,” Phys. Rev. Lett. 93(16), 163602 (2004).
[CrossRef] [PubMed]

Smith, G. A.

G. A. Smith, S. Chaudhury, A. Silberfarb, I. H. Deutsch, and P. S. Jessen, “Continuous weak measurement and nonlinear dynamics in a cold spin ensemble,” Phys. Rev. Lett. 93(16), 163602 (2004).
[CrossRef] [PubMed]

G. A. Smith, S. Chaudhury, and P. S. Jessen, “Faraday spectroscopy in an optical lattice: a continuous probe of atom dynamics,” J. Opt. B Quantum Semiclassical Opt. 5(4), 323–329 (2003).
[CrossRef]

Stamper-Kurn, D. M.

M. Vengalattore, J. M. Higbie, S. R. Leslie, J. Guzman, L. E. Sadler, and D. M. Stamper-Kurn, “High-resolution magnetometry with a spinor Bose-Einstein condensate,” Phys. Rev. Lett. 98(20), 200801 (2007).
[CrossRef] [PubMed]

Takahashi, Y.

T. Isayama, Y. Takahashi, N. Tanaka, K. Toyoda, K. Ishikawa, and T. Yabuzaki, “Observation of Larmor spin precession of laser-cooled Rb atoms via paramagnetic Faraday rotation,” Phys. Rev. A 59(6), 4836–4839 (1999).
[CrossRef]

Tanaka, N.

T. Isayama, Y. Takahashi, N. Tanaka, K. Toyoda, K. Ishikawa, and T. Yabuzaki, “Observation of Larmor spin precession of laser-cooled Rb atoms via paramagnetic Faraday rotation,” Phys. Rev. A 59(6), 4836–4839 (1999).
[CrossRef]

Terraciano, M. L.

M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “Faraday spectroscopy of atoms confined in a dark optical trap,” Phys. Rev. A 77(6), 063417 (2008).
[CrossRef]

M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “A single-shot imaging magnetometer using cold atoms,” Opt. Express 16(17), 13062–13069 (2008).
[CrossRef] [PubMed]

Toyoda, K.

T. Isayama, Y. Takahashi, N. Tanaka, K. Toyoda, K. Ishikawa, and T. Yabuzaki, “Observation of Larmor spin precession of laser-cooled Rb atoms via paramagnetic Faraday rotation,” Phys. Rev. A 59(6), 4836–4839 (1999).
[CrossRef]

Vengalattore, M.

M. Vengalattore, J. M. Higbie, S. R. Leslie, J. Guzman, L. E. Sadler, and D. M. Stamper-Kurn, “High-resolution magnetometry with a spinor Bose-Einstein condensate,” Phys. Rev. Lett. 98(20), 200801 (2007).
[CrossRef] [PubMed]

Wang, Y.-J.

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

Wellstood, F. C.

S. Chatraphorn, E. F. Fleet, F. C. Wellstood, L. A. Knauss, and T. M. Eiles, “Scanning SQUID microscopy of integrated circuits,” Appl. Phys. Lett. 76(16), 2304 (2000).
[CrossRef]

Wildermuth, S.

S. Wildermuth, S. Hofferberth, I. Lesanovsky, S. Groth, P. Krüger, J. Schmiedmayer, and I. Bar-Joseph, “Sensing electric and magnetic fields with Bose-Einstein condensates,” Appl. Phys. Lett. 88(26), 264103 (2006).
[CrossRef]

Wu, S.

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

Yabuzaki, T.

T. Isayama, Y. Takahashi, N. Tanaka, K. Toyoda, K. Ishikawa, and T. Yabuzaki, “Observation of Larmor spin precession of laser-cooled Rb atoms via paramagnetic Faraday rotation,” Phys. Rev. A 59(6), 4836–4839 (1999).
[CrossRef]

Adv. At. Mol. Opt. Phys.

N. Friedman, A. Kaplan, and N. Davidson, “Dark optical traps for cold atoms,” Adv. At. Mol. Opt. Phys. 48, 99–151 (2002).
[CrossRef]

Appl. Opt.

F. K. Fatemi and M. Bashkansky, “Focusing properties of high charge number vortex laser beams,” Appl. Opt. 46(30), 7573–7578 (2007).
[CrossRef] [PubMed]

Appl. Phys. Lett.

S. Wildermuth, S. Hofferberth, I. Lesanovsky, S. Groth, P. Krüger, J. Schmiedmayer, and I. Bar-Joseph, “Sensing electric and magnetic fields with Bose-Einstein condensates,” Appl. Phys. Lett. 88(26), 264103 (2006).
[CrossRef]

S. Chatraphorn, E. F. Fleet, F. C. Wellstood, L. A. Knauss, and T. M. Eiles, “Scanning SQUID microscopy of integrated circuits,” Appl. Phys. Lett. 76(16), 2304 (2000).
[CrossRef]

J. Opt. B Quantum Semiclassical Opt.

G. A. Smith, S. Chaudhury, and P. S. Jessen, “Faraday spectroscopy in an optical lattice: a continuous probe of atom dynamics,” J. Opt. B Quantum Semiclassical Opt. 5(4), 323–329 (2003).
[CrossRef]

Opt. Express

F. K. Fatemi, M. Bashkansky, and Z. Dutton, “Dynamic high-speed spatial manipulation of cold atoms using acousto-optic and spatial light modulation,” Opt. Express 15(6), 3589–3596 (2007).
[CrossRef] [PubMed]

M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “A single-shot imaging magnetometer using cold atoms,” Opt. Express 16(17), 13062–13069 (2008).
[CrossRef] [PubMed]

Phys. Rev. A

M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, “Faraday spectroscopy of atoms confined in a dark optical trap,” Phys. Rev. A 77(6), 063417 (2008).
[CrossRef]

M. V. Romalis and E. N. Fortson, “Zeeman frequency shifts in an optical dipole trap used to search for an electric-dipole moment,” Phys. Rev. A 59(6), 4547–4558 (1999).
[CrossRef]

T. Isayama, Y. Takahashi, N. Tanaka, K. Toyoda, K. Ishikawa, and T. Yabuzaki, “Observation of Larmor spin precession of laser-cooled Rb atoms via paramagnetic Faraday rotation,” Phys. Rev. A 59(6), 4836–4839 (1999).
[CrossRef]

Phys. Rev. Lett.

M. Vengalattore, J. M. Higbie, S. R. Leslie, J. Guzman, L. E. Sadler, and D. M. Stamper-Kurn, “High-resolution magnetometry with a spinor Bose-Einstein condensate,” Phys. Rev. Lett. 98(20), 200801 (2007).
[CrossRef] [PubMed]

G. A. Smith, S. Chaudhury, A. Silberfarb, I. H. Deutsch, and P. S. Jessen, “Continuous weak measurement and nonlinear dynamics in a cold spin ensemble,” Phys. Rev. Lett. 93(16), 163602 (2004).
[CrossRef] [PubMed]

Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, “Atom Michelson interferometer on a chip using a Bose-Einstein condensate,” Phys. Rev. Lett. 94(9), 090405 (2005).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

(a) Layout of hollow beam trap, and probe and optical pumping beams for the Faraday spectroscopy. The AODs (acoustooptic deflectors) are used to move the trap and the probe laser beams without mechanical components. Bias magnetic field coils are along each axis, and the MOT coil axis is along z. (b) Top views of the atom trap for three different AOD1 frequencies, translating the trap over ~2.5 mm. The dotted line is a guide for the eye.

Fig. 2
Fig. 2

Faraday signals for different gradients. At top in (a) and (b) are Faraday signals at only two locations: On the axis (blue) and 1.5mm off axis (red). Below each are montages of 21 Faraday signals for different positions separated by 150 μm along x. (a) No gradient. (b) Gradient of ~150mG/cm. (c) Larmor frequency and field at each sampled position over 3 mm. Error bars are not shown for clarity, but are approximately the size of the data symbols.

Fig. 3
Fig. 3

(a) Sequence of 15 Larmor signals recorded at 100 Hz taken in one loading cycle of the MOT in the presence of a small linear quadrupole field. The spacing between successive signals is 200 microns. (b) Larmor frequencies as a function of position from the data in (a). Data (circles) are fit both to the expected quadrupole field (black line) and to the combined effects of spatial and temporal variations (dashed red line) as described in the text. For clarity, the error bars are not shown, but are approximately the symbol size. (c) Close-up of the signal beginning at T = 0 (1.5mm off axis) (d) Close-up of the signal near the coil axis.

Fig. 4
Fig. 4

(a) Effect of probe scanning on photodetector signal, with waveplate (WP) optimized (black), not optimized (blue), and with scanning off (black). (b) Spectral noise of the laser (green), of the balanced photodetector output with scanning (red) and with no scanning (black).

Equations (2)

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B ( x , y , z ) = B 0 z ^ + B ' ( x , y , 2 z )
| B | = B 0 2 + B ' 2 ( x x 0 ) 2

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