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1

Cook, Richard J. "Optical Stern-Gerlach effect." Physical Review A 35, no. 9 (May 1, 1987): 3844–48. http://dx.doi.org/10.1103/physreva.35.3844.

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2

Batelaan, H., T. J. Gay, and J. J. Schwendiman. "Stern-Gerlach Effect for Electron Beams." Physical Review Letters 79, no. 23 (December 8, 1997): 4517–21. http://dx.doi.org/10.1103/physrevlett.79.4517.

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3

Zimmer, O., J. Felber, and O. Schärpf. "Stern-Gerlach effect without magnetic-field gradient." Europhysics Letters (EPL) 53, no. 2 (January 2001): 183–89. http://dx.doi.org/10.1209/epl/i2001-00134-y.

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4

Margalit, Yair, Or Dobkowski, Zhifan Zhou, Omer Amit, Yonathan Japha, Samuel Moukouri, Daniel Rohrlich, et al. "Realization of a complete Stern-Gerlach interferometer: Toward a test of quantum gravity." Science Advances 7, no. 22 (May 2021): eabg2879. http://dx.doi.org/10.1126/sciadv.abg2879.

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The Stern-Gerlach effect, found a century ago, has become a paradigm of quantum mechanics. Unexpectedly, until recently, there has been little evidence that the original scheme with freely propagating atoms exposed to gradients from macroscopic magnets is a fully coherent quantum process. Several theoretical studies have explained why a Stern-Gerlach interferometer is a formidable challenge. Here, we provide a detailed account of the realization of a full-loop Stern-Gerlach interferometer for single atoms and use the acquired understanding to show how this setup may be used to realize an interferometer for macroscopic objects doped with a single spin. Such a realization would open the door to a new era of fundamental probes, including the realization of previously inaccessible tests at the interface of quantum mechanics and gravity.
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5

Porter, J., R. F. Pettifer, and D. R. Leadley. "Direct demonstration of the transverse Stern–Gerlach effect." American Journal of Physics 71, no. 11 (November 2003): 1103–8. http://dx.doi.org/10.1119/1.1574321.

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6

Dehmelt, H. "Continuous Stern-Gerlach effect: Principle and idealized apparatus." Proceedings of the National Academy of Sciences 83, no. 8 (April 1, 1986): 2291–94. http://dx.doi.org/10.1073/pnas.83.8.2291.

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7

França, H. M., T. W. Marshall, E. Santos, and E. J. Watson. "Possible interference effect in the Stern-Gerlach phenomenon." Physical Review A 46, no. 5 (September 1, 1992): 2265–70. http://dx.doi.org/10.1103/physreva.46.2265.

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8

Rutherford, George H., and Rainer Grobe. "Comment on “Stern-Gerlach Effect for Electron Beams”." Physical Review Letters 81, no. 21 (November 23, 1998): 4772. http://dx.doi.org/10.1103/physrevlett.81.4772.

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9

Rozmej, P., and R. Arvieu. "Spin - orbit pendulum: the microscopic Stern - Gerlach effect." Journal of Physics B: Atomic, Molecular and Optical Physics 29, no. 7 (April 14, 1996): 1339–49. http://dx.doi.org/10.1088/0953-4075/29/7/015.

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10

Sleator, T., T. Pfau, V. Balykin, O. Carnal, and J. Mlynek. "Experimental demonstration of the optical Stern-Gerlach effect." Physical Review Letters 68, no. 13 (March 30, 1992): 1996–99. http://dx.doi.org/10.1103/physrevlett.68.1996.

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11

Maréchal, É., S. Guibal, J. L. Bossennec, M. P. Gorza, R. Barbé, J. C. Keller, and O. Gorceix. "Longitudinal Stern-Gerlach effect for slow cesium atoms." European Physical Journal D - Atomic, Molecular and Optical Physics 2, no. 3 (July 1, 1998): 195–98. http://dx.doi.org/10.1007/s100530050130.

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12

Díaz Bulnes, J., and I. S. Oliveira. "Construction of exact solutions for the Stern-Gerlach effect." Brazilian Journal of Physics 31, no. 3 (September 2001): 488–95. http://dx.doi.org/10.1590/s0103-97332001000300023.

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13

Vaglica, A. "Quantum fine structure of the optical Stern-Gerlach effect." Physical Review A 54, no. 4 (October 1, 1996): 3195–205. http://dx.doi.org/10.1103/physreva.54.3195.

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14

Gallup, G. A., H. Batelaan, and T. J. Gay. "Quantum-Mechanical Analysis of a Longitudinal Stern-Gerlach Effect." Physical Review Letters 86, no. 20 (May 14, 2001): 4508–11. http://dx.doi.org/10.1103/physrevlett.86.4508.

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15

Manoukian, E. B., and A. Rotjanakusol. "Quantum dynamics of the Stern-Gerlach (S-G) effect." European Physical Journal D - Atomic, Molecular and Optical Physics 25, no. 3 (September 1, 2003): 253–59. http://dx.doi.org/10.1140/epjd/e2003-00212-8.

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16

Dehmelt, H. "Continuous Stern-Gerlach effect: Noise and the measurement process." Proceedings of the National Academy of Sciences 83, no. 10 (May 1, 1986): 3074–77. http://dx.doi.org/10.1073/pnas.83.10.3074.

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17

Karnieli, Aviv, and Ady Arie. "Frequency domain Stern–Gerlach effect for photonic qubits and qutrits." Optica 5, no. 10 (October 16, 2018): 1297. http://dx.doi.org/10.1364/optica.5.001297.

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18

Wróbel, J. "Stern-Gerlach effect and spin filtering in the solid state." physica status solidi (c) 3, no. 12 (December 2006): 4214–19. http://dx.doi.org/10.1002/pssc.200672886.

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19

Quint, W., J. Alonso, S. Djekić, H. J. Kluge, S. Stahl, T. Valenzuela, J. Verdú, M. Vogel, and G. Werth. "Continuous Stern–Gerlach effect and the magnetic moment of the antiproton." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 214 (January 2004): 207–10. http://dx.doi.org/10.1016/j.nimb.2003.08.008.

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20

Verdú, J. L., T. Beier, S. Djekic, H. Häffner, H. J. Kluge, W. Quint, T. Valenzuela, and G. Werth. "Measurement of the gJ factor of a bound electron in hydrogen-like oxygen 16O7+." Canadian Journal of Physics 80, no. 11 (November 1, 2002): 1233–40. http://dx.doi.org/10.1139/p02-097.

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The magnetic moment of the electron bound in hydrogen-like oxygen O7+ has been determined using the "continuous Stern–Gerlach effect" in a double Penning trap. We obtained a relative precision of 2 x 10–9. This tests calculations of bound-state quantum electrodynamics and nuclear correction. PACS No.: 32.10Dk
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21

Dehmelt, H. "New continuous Stern-Gerlach effect and a hint of ?the? elementary particle." Zeitschrift f�r Physik D Atoms, Molecules and Clusters 10, no. 2-3 (June 1988): 127–34. http://dx.doi.org/10.1007/bf01384846.

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22

Mooser, Andreas, Klaus Blaum, Holger Kracke, Susanne Kreim, Wolfgang Quint, Cricia Rodeghéri, Stefan Ulmer, and Jochen Walz. "Towards a direct measurement of the g-factor of a single isolated protonThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at École de Physique, les Houches, France, 30 May–4 June, 2010." Canadian Journal of Physics 89, no. 1 (January 2011): 165–68. http://dx.doi.org/10.1139/p10-070.

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Our Penning trap experiment aims at a direct high-precision measurement of the proton g-factor. We present the experimental setup and the measurement technique using the continuous Stern-Gerlach effect. Recent test measurements with a single proton stored in a Penning trap with a strong magnetic bottle and a new toroidal detection system are discussed. For a stringent test of the CPT symmetry the described technique can also be applied to the antiproton.
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23

Steimle, T., and G. Alber. "Continuous Stern-Gerlach effect and the quantum-state diffusion model of state reduction." Physical Review A 53, no. 4 (April 1, 1996): 1982–91. http://dx.doi.org/10.1103/physreva.53.1982.

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24

Tan, S. M., and D. F. Walls. "Quantum-nondemolition determination of an atomic state via the optical Stern-Gerlach effect." Physical Review A 47, no. 1 (January 1, 1993): 663–70. http://dx.doi.org/10.1103/physreva.47.663.

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25

Voronin, V. V., S. Yu Semenikhin, D. D. Shapiro, Yu P. Braginetz, V. V. Fedorov, V. V. Nesvizhevsky, M. Jentschel, A. Ioffe, and Ya A. Berdnikov. "Diffraction Enhancement of the Stern—Gerlach Effect for a Neutron in a Crystal." JETP Letters 110, no. 9 (November 2019): 581–84. http://dx.doi.org/10.1134/s0021364019210124.

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26

Chen, Zhiming, and Guoxiang Huang. "Stern–Gerlach effect of multi-component ultraslow optical solitons via electromagnetically induced transparency." Journal of the Optical Society of America B 30, no. 8 (July 24, 2013): 2248. http://dx.doi.org/10.1364/josab.30.002248.

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27

Voronin, V. V., S. Yu Semenikhin, D. D. Shapiro, Yu P. Braginets, V. V. Fedorov, V. V. Nesvizhevsky, M. Jentschel, A. Ioffe, and Ya A. Berdnikov. "7-order enhancement of the Stern-Gerlach effect of neutrons diffracting in a crystal." Physics Letters B 809 (October 2020): 135739. http://dx.doi.org/10.1016/j.physletb.2020.135739.

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28

Şirin, Hüseyin, Fevzi Büyükkılıç, Hüseyin Ertik, and Doğan Demirhan. "The effect of time fractality on the transition coefficients: Historical Stern–Gerlach experiment revisited." Chaos, Solitons & Fractals 44, no. 1-3 (January 2011): 43–47. http://dx.doi.org/10.1016/j.chaos.2010.11.003.

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29

Hermanspahn, N., H. Häffner, H. J. Kluge, W. Quint, S. Stahl, J. Verdú, and G. Werth. "Observation of the Continuous Stern-Gerlach Effect on an Electron Bound in an Atomic Ion." Physical Review Letters 84, no. 3 (January 17, 2000): 427–30. http://dx.doi.org/10.1103/physrevlett.84.427.

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30

Tumaikin, A. M., and A. B. Bezverbny. "Optical Stern-Gerlach effect; separation of a gas according to atomic spin projections in polarized laser fields." Physica B: Condensed Matter 175, no. 1-3 (December 1991): 143–47. http://dx.doi.org/10.1016/0921-4526(91)90704-i.

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31

Arend, Nikolas, Roland Gähler, Thomas Keller, Robert Georgii, Thomas Hils, and Peter Böni. "Classical and quantum-mechanical picture of NRSE—measuring the longitudinal Stern–Gerlach effect by means of TOF methods." Physics Letters A 327, no. 1 (June 2004): 21–27. http://dx.doi.org/10.1016/j.physleta.2004.04.062.

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32

de Heer, Walt A., Jörg A. Becker, Isabelle M. L. Billas, Paolo Milani, and A. Châtelain. "MAGNETIC PROPERITES OF IRON CLUSTERS IN A MOLECULAR BEAM." International Journal of Modern Physics B 06, no. 23n24 (December 1992): 3733–45. http://dx.doi.org/10.1142/s0217979292001791.

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Magnetic properties of small iron clusters in a molecular beam are investigated by examining their deflections in a Stern-Gerlach magnet. The magnetization is probed as function of magnetic field, temperature and cluster size. The clusters are either heated with light from a pulsed laser which affects the vibrational temperature, or cooled in supersonic expansions which primarily affect the rotational temperature. We find that at temperatures up to 1500 K the magnetic moments of laser heated Fe 120–140 clusters are much larger than predicted either in the Heisenberg model or compared with the bulk values suggesting a stronger exchange interaction. Furthermore, rotationally cold clusters show anomalously magnetization which is non-linear with the applied field. This effect is found to be related to the anisotropy coupling of the total spin with the cluster framework. A model taking this effect into account and assuming a resonant coupling between the rotations and the Larmor precession of the spins gives good qualitative agreement with the observations.
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33

GUENDELMAN, EDUARDO I., and DORON CHELOUCHE. "RADIO-LOUD MAGNETARS AS DETECTORS FOR AXIONS AND AXION-LIKE PARTICLES." International Journal of Modern Physics E 20, supp02 (December 2011): 100–108. http://dx.doi.org/10.1142/s0218301311040669.

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We show that, by studying the arrival times of radio pulses from highly-magnetized transient beamed sources, it may be possible to detect light pseudo-scalar particles, such as axions and axion-like particles, whose existence could have considerable implications for the strong-CP problem of QCD as well as the dark matter problem in cosmology. Specifically, such light bosons may be detected with a much greater sensitivity, over a broad particle mass range, than is currently achievable by terrestrial experiments, and using indirect astrophysical considerations. The observable effect was discussed in Chelouche & Guendelman (2009), and is akin to the Stern-Gerlach experiment: the splitting of a photon beam naturally arises when finite coupling exists between the electro-magnetic field and the axion field. The splitting angle of the light beams linearly depends on the photon wavelength, the size of the magnetized region, and the magnetic field gradient in the transverse direction to the propagation direction of the photons. If radio emission in radio-loud magnetars is beamed and originates in regions with strong magnetic field gradients, then splitting of individual pulses may be detectable. We quantify the effect for a simplified model for magnetars, and search for radio beam splitting in the 2GHz radio light curves of the radio loud magnetar XTEJ1810-197.
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34

NITTA, JUNSAKU. "SPIN INTERFERENCE IN RASHBA 2DEG SYSTEMS." International Journal of Modern Physics B 22, no. 01n02 (January 20, 2008): 108. http://dx.doi.org/10.1142/s0217979208046141.

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The gate controllable SOI provides useful information about spin interference.1 Spin interference effects are studied in two different interference loop structures. It is known that sample specific conductance fluctuations affect the conductance in the interference loop. By using array of many interference loops, we carefully pick up TRS Altshuler-Aronov-Spivak (AAS)-type oscillation which is not sample specific and depends on the spin phase. The experimentally obtained gate voltage dependence of AAS oscillations indicates that the spin precession angle can be controlled by the gate voltage.2 We demonstrate the time reversal Aharonov-Casher (AC) effect in small arrays of mesoscopic rings.3 By using an electrostatic gate we can control the spin precession angle rate and follow the AC phase over several interference periods. We also see the second harmonic of the AC interference, oscillating with half the period. The spin interference is still visible after more than 20π precession angle. We have proposed a Stern-Gerlach type spin filter based on the Rashba SOI.4 A spatial gradient of effective magnetic field due to the nonuniform SOI separates spin up and down electrons. This spin filter works even without any external magnetic fields and ferromagnetic contacts. We show the semiconductor/ferromagnet hybrid structure is an effective way to detect magnetization process of submicron magnets. The problem of the spin injection from ferromagnetic contact into 2DEG is also disicussed. Note from Publisher: This article contains the abstract only.
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35

Sulcs, S., and B. C. Gilbert. "Eddy currents in the Stern–Gerlach experiment." Canadian Journal of Physics 80, no. 10 (October 1, 2002): 1121–31. http://dx.doi.org/10.1139/p02-063.

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We calculate the effects of Larmor precession in the two-state Stern–Gerlach experiment performed with silver atoms. We compare the time constants and Q factors for an oscillating magnetic-dipole moment in free space and in close proximity to an iron magnet. Numerical modelling suggests that the original Stern–Gerlach experiment was too dissipative to have eliminated classical explanations. A recent experiment, also admitting a classical interpretation, is discussed briefly. A new experiment is proposed that should be able to confirm quantum mechanics unequivocally. PACS Nos.: 03.65Bz, 41.20Gz, 32.10Dk
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36

Xu, Xu, and Zhou Xiao-Ji. "Phase-Dependent Effects in Stern–Gerlach Experiments." Chinese Physics Letters 27, no. 1 (January 2010): 010309. http://dx.doi.org/10.1088/0256-307x/27/1/010309.

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37

de Andrade, L. C. Garcia. "Spin-torsion effects in the Stern-Gerlach experiment." Il Nuovo Cimento B 108, no. 8 (August 1993): 947–48. http://dx.doi.org/10.1007/bf02828741.

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38

Björnson, Kristofer, and Annica M. Black-Schaffer. "Solid-state Stern–Gerlach spin splitter for magnetic field sensing, spintronics, and quantum computing." Beilstein Journal of Nanotechnology 9 (May 25, 2018): 1558–63. http://dx.doi.org/10.3762/bjnano.9.147.

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We show conceptually that the edge of a two-dimensional topological insulator can be used to construct a solid-state Stern–Gerlach spin splitter. By threading such a Stern–Gerlach apparatus with a magnetic flux, Aharanov–Bohm-like interference effects are introduced. Using ferromagnetic leads, the setup can be used to both measure magnetic flux and as a spintronics switch. With normal metallic leads a switchable spintronics NOT-gate can be implemented. Furthermore, we show that a sequence of such devices can be used to construct a single-qubit SU(2)-gate, one of the two gates required for a universal quantum computer. The field sensitivity, or switching field, b, is related to the characteristic size of the device, r, through b = h/(2πqr 2), with q being the unit of electric charge.
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39

Wennerström, Håkan, and Per-Olof Westlund. "The Stern–Gerlach experiment and the effects of spin relaxation." Phys. Chem. Chem. Phys. 14, no. 5 (2012): 1677–84. http://dx.doi.org/10.1039/c2cp22173j.

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40

Herrick, D. R., M. B. Robin, and A. Gedanken. "Theoretical investigation of the effects of intramolecular electron-spin relaxation on Stern-Gerlach deflections." Chemical Physics 130, no. 1-3 (February 1989): 201–9. http://dx.doi.org/10.1016/0301-0104(89)87050-8.

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41

Herrick, D. R., M. B. Robin, and A. Gedanken. "Spin-rotation effects in the Stern-Gerlach deflection spectra of 3Σ− molecules and their complexes with argon." Journal of Molecular Spectroscopy 133, no. 1 (January 1989): 61–81. http://dx.doi.org/10.1016/0022-2852(89)90243-9.

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42

BECKER, J. A., R. SCHÄFER, J. R. FESTAG, J. H. WENDORFF, F. HENSEL, J. PEBLER, S. A. QUAISER, W. HELBIG, and M. T. REETZ. "MAGNETIC PROPERTIES OF COBALT-CLUSTER DISPERSIONS GENERATED IN AN ELECTROCHEMICAL CELL." Surface Review and Letters 03, no. 01 (February 1996): 1121–26. http://dx.doi.org/10.1142/s0218625x9600200x.

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Magnetization curves of stabilized cobalt-cluster dispersions in tetrahydrofuran with a narrow size distribution have been studied by SQUID and Gouy balance measurements. The cobalt colloids are generated by a newly developed electrochemical method which allows one to generate clusters with mean cluster sizes of about 1000 atoms. The final size distribution of the clusters is examined by small-angle x-ray scattering (SAXS) and high-resolution transmission electron microscopy (HRTEM) measurements. The magnetization curves have been measured with special emphasis on changes at the freezing point of the solution. The liquid phase shows typical superparamagnetism whereas strong deviations from Langevin behavior occur in the solid dispersion which can be understood in terms of magnetic anisotropy effects. These observations are discussed with regard to recent Stern-Gerlach experiments on isolated ferromagnetic clusters in molecular beams. It is shown that cluster size and susceptibility of the dispersions are related. This permits the control of the growth of the clusters during the electrolysis by measuring the susceptibility as a function of the charge that is converted in the cell.
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43

Demchenko, D. O., A. N. Chantis, and A. G. Petukhov. "SPIN FILTERING IN MAGNETIC HETEROSTRUCTURES." International Journal of Modern Physics B 15, no. 24n25 (October 10, 2001): 3247–52. http://dx.doi.org/10.1142/s0217979201007579.

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Several techniques were proposed to achieve solid state spin filtering such as magnetic tunnel junctions comprised of half-metallic compounds or solid state Stern-Gerlach apparatus. Another alternative consists in using spin-dependent resonant tunneling through magnetically active quantum wells. Recent advances in molecular beam epitaxial growth made it possible to fabricate exotic heterostructures comprised of magnetic films or buried layers (ErAs, GaxMn1-xAs) integrated with conventional semiconductors (GaAs) and to explore quantum transport in these heterostructures. It is particularly interesting to study spin-dependent resonant tunneling in double-barrier resonant tunneling diodes (RTD) with magnetic elements such as GaAs/AlAs/ErAs/AlAs/ErAs/AlAs/GaAs, GaxMn1-xAs/AlAs/GaAs/AlAs/GaAs, and GaAs/AlAs/GaxMn1-xAs/AlAs/GaAs. We present the results of our theoretical studies and computer simulations of transmission coefficients and current-voltage characteristics of resonant tunneling diodes based on these double-barrier structures. Resonant tunneling of holes (GaxMn1-xAs-based RTDs) is considered. Our approach is based on k·p perturbation theory with exchange splitting effects taken into account. We analyze exchange splitting of different resonant channels as a function of magnetization as well as spin polarization of the transmitted current as a function of bias. We found that resonant tunneling I – V characteristics of the double-barrier magnetic hererostructures strongly depend on the doping level in the emitter as well as on the orientation of the magnetization.
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44

Karnieli, Aviv, and Ady Arie. "All-Optical Stern-Gerlach Effect." Physical Review Letters 120, no. 5 (January 29, 2018). http://dx.doi.org/10.1103/physrevlett.120.053901.

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45

Li, Yong, C. Bruder, and C. P. Sun. "Generalized Stern-Gerlach Effect for Chiral Molecules." Physical Review Letters 99, no. 13 (September 26, 2007). http://dx.doi.org/10.1103/physrevlett.99.130403.

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46

Lu, Jun-Qiang, X. G. Zhang, and Sokrates T. Pantelides. "Tunable spin Hall effect by Stern-Gerlach diffraction." Physical Review B 74, no. 24 (December 18, 2006). http://dx.doi.org/10.1103/physrevb.74.245319.

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47

Berman, G. P., G. D. Doolen, P. C. Hammel, and V. I. Tsifrinovich. "Static Stern-Gerlach effect in magnetic force microscopy." Physical Review A 65, no. 3 (February 20, 2002). http://dx.doi.org/10.1103/physreva.65.032311.

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48

Hang, Chao, and Guoxiang Huang. "Stern-Gerlach effect of weak-light ultraslow vector solitons." Physical Review A 86, no. 4 (October 5, 2012). http://dx.doi.org/10.1103/physreva.86.043809.

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49

Guo, Yu, Lan Zhou, Le-Man Kuang, and C. P. Sun. "Magneto-optical Stern-Gerlach effect in an atomic ensemble." Physical Review A 78, no. 1 (July 23, 2008). http://dx.doi.org/10.1103/physreva.78.013833.

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50

Lembessis, V. E. "Optical Stern-Gerlach effect beyond the rotating-wave approximation." Physical Review A 78, no. 4 (October 30, 2008). http://dx.doi.org/10.1103/physreva.78.043423.

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