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SERF

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atoms. In this regime of fast spin-exchange, all atoms in an ensemble rapidly change hyperfine states, spending the same amounts of time in each hyperfine state and causing the spin ensemble to precess more slowly but remain coherent. This so-called SERF regime can be reached by operating with sufficiently high alkali metal density (at higher temperature) and in sufficiently low magnetic field.
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state of the atoms. Atoms in different hyperfine states do not precess coherently and thereby limit the coherence lifetime of the atoms. However, decoherence due to spin-exchange collisions can be nearly eliminated if the spin-exchange collisions occur much faster than the precession frequency of the
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Alkali metal atoms in the spin-exchange relaxation-free (SERF) regime with hyperfine state indicated by color precessing in the presence of a magnetic field experience two spin-exchange collisions in rapid succession which preserves total angular momentum but changes the hyperfine state, causing the
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A SERF magnetometer achieves very high magnetic field sensitivity by monitoring a high density vapor of alkali metal atoms precessing in a near-zero magnetic field. The sensitivity of SERF magnetometers improves upon traditional atomic magnetometers by eliminating the dominant cause of atomic spin
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spectral resonance line polarizes the atoms. An orthogonal probe beam detects the precession using optical rotation of linearly polarized light. In a typical SERF magnetometer, the spins merely tip by a very small angle because the precession frequency is slow compared to the relaxation rates.
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Alkali metal vapor of sufficient density is obtained by simply heating solid alkali metal inside the vapor cell. A typical SERF atomic magnetometer can take advantage of low noise diode lasers to polarize and monitor spin precession. Circularly polarized pumping light tuned to the
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as indicated by magnetic resonance linewidth for atoms as a function of magnetic field. These lines represent operation with potassium vapor at 160, 180 and 200 °C (higher temperature provides higher relaxation rates) using a 2 cm diameter cell with 3 atm He buffer gas, 60 Torr
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is the average polarization of the atoms. The atoms suffering fast spin-exchange precess more slowly when they are not fully polarized because they spend a fraction of the time in different hyperfine states precessing at different frequencies (or in the opposite direction).
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Alkali metal atoms with hyperfine state indicated by color precessing in the presence of a magnetic field experience a spin-exchange collision which preserves total angular momentum but changes the hyperfine state, causing the atoms to precess in opposite directions and
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Atomic magnetometer principle of operation, depicting alkali atoms polarized by a circularly polarized pump beam, precessing in the presence of a magnetic field and being detected by optical rotation of a linearly polarized probe
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atoms and a very low magnetic field. Under these conditions, the atoms exchange spin quickly compared to their magnetic precession frequency so that the average spin interacts with the field and is not destroyed by decoherence.
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sensitivity and can theoretically become even more sensitive with larger volumes. They are vector magnetometers capable of measuring all three components of the magnetic field simultaneously.
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In an optimal configuration, a density of 10 cm potassium atoms in a 1 cm vapor cell with ~3 atm helium buffer gas can achieve 10 aT Hz (10 T Hz) sensitivity with relaxation rate
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but the application to magnetic field measurement was not explored at that time. The name "SERF" was partially motivated by its relationship to SQUID detectors in a marine metaphor.
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quenching gas. The SERF regime is clearly apparent for sufficiently low magnetic fields where the spin-exchange collisions occur much faster than the spin precession.
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atoms to precess in opposite directions only slightly before a second spin-exchange collision returns the atoms to the original hyperfine state.
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In the limit of fast spin-exchange and small magnetic field, the spin-exchange relaxation rate vanishes for sufficiently small magnetic field:
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Kominis, I. K.; Kornack, T. W.; Allred, J. C.; Romalis, M. V. (April 10, 2003). "A subfemtotesla multichannel atomic magnetometer".
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In the absence of spin-exchange relaxation, a variety of other relaxation mechanisms contribute to the decoherence of atomic spin:
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rates for collisions among the alkali metal atoms and collisions between alkali atoms and any other gasses that may be present.
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in the early 2000s. The underlying physics governing the suppression spin-exchange relaxation was developed decades earlier by
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is the "slowing-down" constant to account for sharing of angular momentum between the electron and nuclear spins:
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in the early 2000s. SERF magnetometers measure magnetic fields by using lasers to detect the interaction between
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detectors of equivalent size. A small 1 cm volume glass cell containing potassium vapor has reported 1 fT/
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magnetometers for use in a variety of applications. The SERF magnetometer has the following advantages:
1001:{\displaystyle Q(I=7/2)=8\left({\frac {4(1+7P^{2}+7P^{4}+P^{6})}{11+35P^{2}+17P^{4}+P^{6}}}\right)^{-1}} 2025: 1978: 1939: 1900: 1840: 1797: 1741: 1705: 40: 98: 1928:"Effects of spin-exchange collisions in a high-density alkali-metal vapor in low magnetic fields" 1864: 1276: 396: 371: 1994: 1856: 1813: 1757: 1512: 1101: 1555: 1258: 163:
for atoms with low polarization experiencing slow spin-exchange can be expressed as follows:
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Applications utilizing high sensitivity of SERF magnetometers potentially include:
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preserve total angular momentum of a colliding pair of atoms but can scramble the
1245:{\displaystyle \delta B={\frac {1}{\gamma }}{\sqrt {\frac {2R_{tot}Q}{F_{z}N}}}} 55: 2013: 1966: 1951: 1927: 1785: 1729: 1967:"Tunable Atomic Magnetometer for Detection of Radio-Frequency Magnetic Fields" 109: 71:
among the alkali metal atoms. SERF magnetometers are among the most sensitive
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All-optical measurement limits enables imaging and eliminates interference
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I. M. Savukov; S. J. Seltzer; M. V. Romalis & K. L. Sauer (2005).
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H. Xia; A. Ben-Amar Baranga; D. Hoffman & M. V. Romalis (2006).
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Allred, J. C.; Lyman, R. N.; Kornack, T. W.; Romalis, M. V. (2002).
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is the relaxation rate due to collisions with the cell walls and
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of atomic magnetometers are limited by the number of atoms
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Sample magnetization measurement, especially rock samples
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The Spin Exchange Relaxation Free (SERF) Magnetometer
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Allred JC, Lyman RN, Kornack TW, Romalis MV (2002).
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The name for the technique comes from the fact that
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(2005). 75:and in some cases exceed the performance of 1647:Equal or better sensitivity per unit volume 1882: 1880: 1878: 1779: 1777: 1775: 1773: 1771: 1614: 1608: 1563: 1557: 1520: 1514: 1493: 1487: 1460: 1455: 1445: 1428: 1418: 1387: 1374: 1355: 1349: 1311: 1290: 1284: 1260: 1229: 1208: 1197: 1187: 1176: 1152: 1146: 1126: 1103: 1050: 1044: 1016: 989: 976: 963: 947: 923: 910: 894: 872: 850: 833: 808: 794: 778: 754: 735: 706: 689: 664: 650: 634: 605: 588: 565: 534: 523: 501: 480: 460: 450: 440: 435: 428: 416: 410: 379: 373: 353: 333: 309: 303: 272: 221: 205: 189: 177: 171: 144: 138: 47:atoms in a vapor and the magnetic field. 1691: 1592: 1720: 1700:The SERF magnetometer was developed by 368:is the magnetic resonance frequency, 7: 1887:Happer, W. & Tam, A. C. (1977). 1077:{\displaystyle R_{tot}=Q\Delta \nu } 2054:Photographs of a SERF magnetometer 1457: 1432: 1429: 1141:and their spin coherence lifetime 1068: 133:The spin-exchange relaxation rate 14: 16:For the unfree peasant Serf, see 1664:Sensor vapor cell must be heated 1661:Can only operate near zero field 1639:SERF magnetometers compete with 1679:magnetoencephalographic imaging 929: 878: 858: 838: 760: 741: 714: 694: 613: 593: 520: 504: 269: 253: 245: 230: 1: 1991:10.1103/PhysRevLett.95.063004 1810:10.1103/PhysRevLett.89.130801 1754:10.1103/PhysRevLett.89.130801 25:spin exchange relaxation-free 1635:Advantages and disadvantages 388:{\displaystyle \gamma _{e}} 2096: 1952:10.1103/PhysRevA.71.023405 106: 15: 1657:Potential disadvantages: 1913:10.1103/PhysRevA.16.1877 1538:{\displaystyle R_{sd,X}} 1114:{\displaystyle \delta B} 95:Spin-exchange collisions 90:Spin-exchange relaxation 69:spin-exchange collisions 52:spin exchange relaxation 2018:Applied Physics Letters 1971:Physical Review Letters 1578:{\displaystyle R_{tot}} 1268:{\displaystyle \gamma } 1697: 1696:SERF components mockup 1650:Cryogen-free operation 1624: 1599: 1579: 1539: 1503: 1473: 1332: 1300: 1269: 1246: 1162: 1135: 1115: 1090: 1078: 1025: 1002: 821: 677: 574: 551: 389: 362: 342: 322: 321:{\displaystyle T_{se}} 289: 157: 156:{\displaystyle R_{se}} 126: 115: 73:magnetic field sensors 67:decoherence caused by 2080:Measuring instruments 1695: 1625: 1623:{\displaystyle D_{1}} 1596: 1580: 1540: 1504: 1502:{\displaystyle R_{D}} 1474: 1333: 1331:{\displaystyle F=I+S} 1301: 1299:{\displaystyle F_{z}} 1270: 1247: 1163: 1161:{\displaystyle T_{2}} 1136: 1116: 1079: 1038: 1026: 1003: 822: 678: 575: 552: 390: 363: 348:is the nuclear spin, 343: 323: 290: 158: 123: 112: 1706:Princeton University 1607: 1556: 1513: 1486: 1348: 1310: 1283: 1259: 1175: 1145: 1125: 1102: 1043: 1015: 832: 688: 587: 564: 409: 372: 361:{\displaystyle \nu } 352: 332: 302: 170: 137: 41:Princeton University 2075:American inventions 2030:2006ApPhL..89u1104X 1983:2005PhRvL..95f3004S 1944:2005PhRvA..71b3405S 1905:1977PhRvA..16.1877H 1853:10.1038/nature01484 1845:2003Natur.422..596K 1802:2002PhRvL..89m0801A 1746:2002PhRvL..89m0801A 445: 1702:Michael V. Romalis 1698: 1620: 1600: 1575: 1535: 1499: 1469: 1328: 1296: 1277:gyromagnetic ratio 1265: 1242: 1158: 1131: 1111: 1091: 1074: 1021: 998: 817: 673: 570: 547: 431: 397:gyromagnetic ratio 385: 358: 338: 318: 285: 153: 127: 116: 2038:10.1063/1.2392722 1932:Physical Review A 1893:Physical Review A 1839:(6932): 596–599. 1677:High-performance 1589:Typical operation 1240: 1239: 1195: 1134:{\displaystyle N} 1024:{\displaystyle P} 983: 801: 657: 573:{\displaystyle Q} 540: 488: 478: 399:for an electron. 341:{\displaystyle I} 279: 215: 131: 130: 2087: 2042: 2041: 2009: 2003: 2002: 1962: 1956: 1955: 1923: 1917: 1916: 1899:(5): 1877–1891. 1884: 1873: 1872: 1828: 1822: 1821: 1781: 1766: 1765: 1725: 1629: 1627: 1626: 1621: 1619: 1618: 1584: 1582: 1581: 1576: 1574: 1573: 1547:spin destruction 1544: 1542: 1541: 1536: 1534: 1533: 1508: 1506: 1505: 1500: 1498: 1497: 1478: 1476: 1475: 1470: 1468: 1467: 1466: 1465: 1464: 1437: 1436: 1435: 1410: 1409: 1379: 1378: 1366: 1365: 1337: 1335: 1334: 1329: 1305: 1303: 1302: 1297: 1295: 1294: 1279:of the atom and 1274: 1272: 1271: 1266: 1251: 1249: 1248: 1243: 1241: 1238: 1234: 1233: 1223: 1219: 1218: 1199: 1198: 1196: 1188: 1167: 1165: 1164: 1159: 1157: 1156: 1140: 1138: 1137: 1132: 1120: 1118: 1117: 1112: 1098:The sensitivity 1083: 1081: 1080: 1075: 1061: 1060: 1039:Relaxation rate 1030: 1028: 1027: 1022: 1007: 1005: 1004: 999: 997: 996: 988: 984: 982: 981: 980: 968: 967: 952: 951: 932: 928: 927: 915: 914: 899: 898: 873: 854: 826: 824: 823: 818: 816: 815: 807: 803: 802: 800: 799: 798: 783: 782: 763: 759: 758: 736: 710: 682: 680: 679: 674: 672: 671: 663: 659: 658: 656: 655: 654: 635: 609: 579: 577: 576: 571: 556: 554: 553: 548: 546: 542: 541: 539: 538: 529: 528: 527: 502: 489: 481: 479: 477: 469: 468: 467: 455: 454: 444: 439: 429: 424: 423: 394: 392: 391: 386: 384: 383: 367: 365: 364: 359: 347: 345: 344: 339: 327: 325: 324: 319: 317: 316: 294: 292: 291: 286: 284: 280: 278: 277: 276: 248: 222: 216: 214: 213: 212: 190: 185: 184: 162: 160: 159: 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2024:(21): 211104. 2004: 1957: 1918: 1874: 1823: 1796:(13): 130801. 1767: 1740:(13): 130801. 1719: 1717: 1714: 1710:William Happer 1689: 1686: 1685: 1684: 1681: 1670: 1667: 1666: 1665: 1662: 1655: 1654: 1651: 1648: 1636: 1633: 1617: 1613: 1590: 1587: 1572: 1569: 1566: 1562: 1532: 1529: 1526: 1523: 1519: 1496: 1492: 1480: 1479: 1463: 1459: 1454: 1451: 1448: 1444: 1440: 1434: 1431: 1427: 1424: 1421: 1417: 1413: 1408: 1405: 1402: 1399: 1396: 1393: 1390: 1386: 1382: 1377: 1373: 1369: 1364: 1361: 1358: 1354: 1327: 1324: 1321: 1318: 1315: 1293: 1289: 1264: 1253: 1252: 1237: 1232: 1228: 1222: 1217: 1214: 1211: 1207: 1203: 1194: 1191: 1186: 1183: 1180: 1168:according to 1155: 1151: 1130: 1110: 1107: 1095: 1092: 1086: 1073: 1070: 1067: 1064: 1059: 1056: 1053: 1049: 1020: 1009: 1008: 995: 992: 987: 979: 975: 971: 966: 962: 958: 955: 950: 946: 942: 939: 936: 931: 926: 922: 918: 913: 909: 905: 902: 897: 893: 889: 886: 883: 880: 877: 871: 866: 863: 860: 857: 853: 849: 846: 843: 840: 837: 827: 814: 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1832: 1826: 1793: 1789: 1737: 1733: 1723: 1699: 1672: 1669:Applications 1656: 1638: 1601: 1551: 1481: 1340: 1254: 1097: 1010: 559: 401: 297: 132: 93: 65: 56:atomic spins 49: 45:alkali metal 37:magnetometer 33:magnetometer 32: 28: 24: 22: 1094:Sensitivity 2069:Categories 1716:References 1263:γ 1193:γ 1179:δ 1106:δ 1072:ν 1069:Δ 991:− 810:− 733:− 666:− 632:− 499:− 475:π 433:γ 377:γ 356:ν 240:− 199:π 114:decohere. 99:hyperfine 60:potassium 1999:16090946 1861:12686995 1818:12225013 1762:12225013 1545:are the 2026:Bibcode 1979:Bibcode 1940:Bibcode 1901:Bibcode 1869:4204465 1841:Bibcode 1798:Bibcode 1742:Bibcode 1688:History 1275:is the 395:is the 81:√ 18:Serfdom 1997:  1867:  1859:  1833:Nature 1816:  1760:  1482:where 1255:where 1011:where 560:where 298:where 1865:S2CID 1641:SQUID 1598:beam. 77:SQUID 1995:PMID 1857:PMID 1814:PMID 1758:PMID 29:SERF 2034:doi 1987:doi 1948:doi 1909:doi 1849:doi 1837:422 1806:doi 1750:doi 1704:at 2071:: 2032:. 2022:89 2020:. 2016:. 1993:. 1985:. 1975:95 1973:. 1969:. 1946:. 1936:71 1934:. 1930:. 1907:. 1897:16 1895:. 1891:. 1877:^ 1863:. 1855:. 1847:. 1835:. 1812:. 1804:. 1794:89 1792:. 1788:. 1770:^ 1756:. 1748:. 1738:89 1736:. 1732:. 1338:. 957:17 941:35 935:11 772:26 766:19 739:48 83:Hz 31:) 23:A 2040:. 2036:: 2028:: 2001:. 1989:: 1981:: 1954:. 1950:: 1942:: 1915:. 1911:: 1903:: 1871:. 1851:: 1843:: 1820:. 1808:: 1800:: 1764:. 1752:: 1744:: 1616:1 1612:D 1571:t 1568:o 1565:t 1561:R 1531:X 1528:, 1525:d 1522:s 1518:R 1495:D 1491:R 1462:2 1458:N 1453:, 1450:d 1447:s 1443:R 1439:+ 1433:e 1430:H 1426:, 1423:d 1420:s 1416:R 1412:+ 1407:f 1404:l 1401:e 1398:s 1395:, 1392:d 1389:s 1385:R 1381:+ 1376:D 1372:R 1368:= 1363:t 1360:o 1357:t 1353:R 1326:S 1323:+ 1320:I 1317:= 1314:F 1292:z 1288:F 1236:N 1231:z 1227:F 1221:Q 1216:t 1213:o 1210:t 1206:R 1202:2 1190:1 1185:= 1182:B 1154:2 1150:T 1129:N 1109:B 1087:2 1085:N 1066:Q 1063:= 1058:t 1055:o 1052:t 1048:R 1019:P 994:1 986:) 978:6 974:P 970:+ 965:4 961:P 954:+ 949:2 945:P 938:+ 930:) 925:6 921:P 917:+ 912:4 908:P 904:7 901:+ 896:2 892:P 888:7 885:+ 882:1 879:( 876:4 870:( 865:8 862:= 859:) 856:2 852:/ 848:7 845:= 842:I 839:( 836:Q 813:1 805:) 796:4 792:P 788:3 785:+ 780:2 776:P 769:+ 761:) 756:2 752:P 748:+ 745:1 742:( 730:3 726:( 721:6 718:= 715:) 712:2 708:/ 704:5 701:= 698:I 695:( 692:Q 669:1 661:) 652:2 648:P 644:+ 641:3 637:4 629:2 625:( 620:4 617:= 614:) 611:2 607:/ 603:3 600:= 597:I 594:( 591:Q 568:Q 544:) 536:2 532:Q 525:2 521:) 517:1 514:+ 511:I 508:2 505:( 496:1 492:( 486:2 483:1 472:2 465:e 462:s 458:T 452:2 448:B 442:2 437:e 426:= 421:e 418:s 414:R 381:e 336:I 314:e 311:s 307:T 282:) 274:2 270:) 266:1 263:+ 260:I 257:2 254:( 251:3 246:) 243:1 237:I 234:2 231:( 228:I 225:2 219:( 210:e 207:s 203:T 196:2 192:1 187:= 182:e 179:s 175:R 149:e 146:s 142:R 27:( 20:.

Index

Serfdom
magnetometer
Princeton University
alkali metal
spin exchange relaxation
atomic spins
potassium
spin-exchange collisions
magnetic field sensors
SQUID
Spin-exchange collisions
hyperfine


gyromagnetic ratio

gyromagnetic ratio
spin destruction

SQUID
magnetoencephalographic imaging

Michael V. Romalis
Princeton University
William Happer
"High-sensitivity atomic magnetometer unaffected by spin-exchange relaxation"
Bibcode
2002PhRvL..89m0801A
doi
10.1103/PhysRevLett.89.130801

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