Light scattering and atom amplification in a Bose- Einstein condensate March 25, 2004 Yoshio Torii...
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Light scattering and atom amplification in a Bose-Einstein condensate March 25, 2004 Yoshio Torii Institute of Physics, University of Tokyo, Komaba Workshop on Chemistry of Cold Molecules
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Transcript of Light scattering and atom amplification in a Bose- Einstein condensate March 25, 2004 Yoshio Torii...
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Light scattering and atom amplification in a Bose-Einstein condensateMarch 25, 2004
Yoshio Torii
Institute of Physics, University of Tokyo, KomabaWorkshop on Chemistry of Cold Molecules
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The overview The review of BEC in atomic gases
Atom-optics elements for BECs
Superradiant light scattering in a BEC (Matter wave amplification in a BEC)
Quest for Continuous atom lasers
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What is Bose-Einstin condensation?Macroscopic occupation of atoms in the lowest quantum state of motion
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The criterion of BECPhase space density (the number of atoms in the lowest quantum state)Thermal de Briglie wave length(the average size of wavepackets)Predicted by Einstein in 1925BEC is formed when the wavepackets overlap with each other !
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Sheet1
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atoms behave as billiard ballsWave nature begins to manifestWavepackets begin to overlap One giant matter waveBose-Einstein condensationT300KT1mKT100nKT100KLaser coolingEvaporative coolingEvaporative coolingBEC
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The history of Bose-Einstein condensation1924,25Bose-Einstein statistics (Bose) prediction of Bose-Einstein condensation (Einstein)
Superfluidity in liquid helium explained as BECLondon
BCS theory for Superconductivity Bardeen, Cooper, Schrieffer
1960Invention of laser Maiman
1975The idea of laser cooling Hnsch ,Schawlow
1980Deceleration of atomic beam PhillipsmK1985Laser cooling of atoms in 3-D Chu 240K Polarization Gradient cooling 3K Phillips, Cohen-Tannoudji
1995Realization of BEC in Rb, NaCornel, Wieman, Ketterle100nkNobel Prize in 1997Nobel Prize in 2001
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The BEC apparatus at Tokyo Univ.
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The principle of laser cooling cooling!Laser light:Scattered light:
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Magneto-optical Trap (MOT)
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MOT of Rb atoms in a glass cell4cm
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What is evaporative cooling?http://www.colorado.edu/physics/2000/applets/bec.htmlNice applet at Colorado University Website
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Zeeman shift of Rb87
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Cloverleaf coils for magnetic trap
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Evaporative cooling an a cigar-shaped magnetic trap5 MHz 5mm1MHz5 MHz10 MHz20 MHz
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BEC phase transition
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The properties of BEC1ms16.5ms11ms5.5ms22ms27.5ms33ms1mmImages of a BEC released from the magnetic trap 1. narrow velocity spread below the recoil velocity 6mm/s for Rb87
2. Well localized in space 10m100m
3. Spatial density of 1014 atoms/cm3
4. Coherent
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Atom-optics elements for BECsThe Basic idea: Bragg scattering
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Bragg scattering of BEC[M. Kozuma et. al.Phys. Rev. Lett. 82, 871 (1999)]
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Absorption Images of Bragg diffracted BEC (20 ms TOF)Half beamsplitterPerfect mirrorY. T, et. al., PRA 61, R041602 (2000)
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Mach-Zehnder interferometer for light waves and matter wavesLight wave
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Mach-Zehnder interferometer for BECsY. T, et. al., PRA 61, R041602 (2000)
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Superradiant Rayleigh scattering in a Bose-Einstein condensateS. Inouye, et. al., Science 285, 571 (1999)35ms75ms100msNa BECOff-resonant pump light
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Superradiant Rayleigh scattering in a Rb BECWeek pump lightRbBECD. Schneble, Y.T., M. Boyd, E. W. Streed, D. E. Pritchard, and W. Ketterle, Science 300, 475 (2003) Strong pump lightRbBEC
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The origin of superradianceThe rate of light scattering is enhanced by the number of already scattered photons goes on
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LaserLight Amplification by Stimulated Emission of Radiation
N photons already in the cavityEmission rate from an excited atomsStimulatedemission Spontaneousemission
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Matter wave amplification(10 fold amplification)Pump pulse onlyNothing happenedBragg pulse only6.5% of atoms wereBragg diffractedBragg pulse, then pump pulse66% of atoms were coupled outM. Kozuma, et. al., Science 286, 2309 (1999)BECPump beam
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How to check the coherence of the amplified wave
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Interferometer for the amplified matter waveM. Kozuma, et. al., Science 286, 2309 (1999)reference Matter waveamplified Matter waveseededMatter waveBragg pulsep Bragg pulsep/2 Bragg pulsepump pulse
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The gallery of atom lasersMIT 97Munich 99Yale 98NIST 99Rf sweepRf knifegravityBragg pulses
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Continuous atom laserA device which converts thermal atoms into a coherent matter wave continuouslyThermal atomsCoherent matter wave
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Our strategy for CW atom laser Zeeman slower
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The whole apparatus2m
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Zeeman coils1mTrimming coils
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Velocity distribution of a Zeeman-slowed Rb atomic beanFlux of the thermal atoms atoms/s
Flux of the slowed atoms atoms/s 20% of the thermal atoms
final velocity 20 m/s
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Loading a MOT from slowed atoms4cm21010 atoms/s
Graph1
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0.9229001751
0.9383521993
0.9307898222
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0.9499611644
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0.9615174937
0.9559062865
0.9598050577
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0.9483376532
0.9583440075
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0.9621195791
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0.9685212607
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0.9722643081
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0.9783093617
0.9602821777
0.9701699618
0.9688652019
0.9855372659
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MOT absoption
probe(MHz)
MOT
1sweep timeMHzprobeprobezeroMOT absoptionLorentz
12/31/03OD60-0.05-622.1068702290.03730470.14921880.02018120.055945310.9986057177-622.106870229100
22:00probesweep time)0.011-0.0498-620.06717557250.03638280.14553120.02038120.05584380.99714599840.9985965363-620.06717557250.99714599840.00285400160.0028580821
probesweep time)-0.0152-0.0496-618.0274809160.03524220.14096880.02039840.05613591.00536193030.998587264-618.0274809161.0053619303-0.0053619303-0.0053476063
(torr)thermal-0.001-0.0494-615.98778625950.03535160.14140640.02032810.05612341.00500039310.9985778996-615.98778625951.0050003931-0.0050003931-0.0049879326
IG0.0000000015probe 4-0.0492-613.94809160310.03378120.13512480.02038440.05624381.00839405080.9985684417-613.94809160311.0083940508-0.0083940508-0.0083590166
()0-0.049-611.90839694660.03414840.13659360.0204750.05596871.00065970690.9985588892-611.90839694661.0006597069-0.0006597069-0.0006594893
Rb Ampoul(ch1)150-0.0488-609.86870229010.03395310.13581240.02002340.05632811.01065645190.9985492408-609.86870229011.0106564519-0.0106564519-0.0106000721
Oven body(ch2)180-0.0486-607.82900763360.03204690.12818760.02039530.05618441.00672573840.9985394952-607.82900763361.0067257384-0.0067257384-0.0067032215
Oven End(ch3)180-0.0484-605.78931297710.03315620.13262480.02034840.05593910.99982582750.998529651-605.78931297710.99982582750.00017417250.0001741876
Oven 1st aperture(ch4)180-0.0482-603.74961832060.03228910.12915640.02005470.05624531.00835873460.9985197071-603.74961832061.0083587346-0.0083587346-0.0083239938
Cold Plate(ch5)-0.048-601.70992366410.03089060.12356240.02037340.05581560.99635386360.9985096619-601.70992366410.99635386360.00364613640.0036527998
-0.0478-599.67022900760.03079690.12318760.02029060.05578130.99540032590.9984995142-599.67022900760.99540032590.00459967410.0046102851
(mV)-0.0476-597.63053435110.02984370.11937480.02018750.05596871.00065440270.9984892625-597.63053435111.0006544027-0.0006544027-0.0006541886
F=2F'=1-0.0474-595.59083969470.02992190.11968760.02023750.05550630.98770576740.9984789054-595.59083969470.98770576740.01229423260.0123704319
F=2F'=2-0.0472-593.55114503820.02951560.11806240.02004220.05572970.99399494750.9984684415-593.55114503820.99399494750.00600505250.0060231553
F=2F'=3-0.047-591.51145038170.02939840.11759360.01973910.05562810.99123906960.9984578693-591.51145038170.99123906960.00876093040.008799533
probe-0.0468-589.47175572520.02888280.11553120.02015940.05572810.99393057040.9984471872-589.47175572520.99393057040.00606942960.0060879234
V-0.0466-587.43206106870.02796880.11187520.02012190.05581880.99646878860.9984363938-587.43206106870.99646878860.00353121140.0035374609
W-0.0464-585.39236641220.02758590.11034360.01992970.05570160.99323348770.9984254875-585.39236641220.99323348770.00676651230.0067895089
-0.0462-583.35267175570.0253750.10150.02016410.0559250.9994326630.9984144667-583.35267175570.9994326630.0005673370.000567498
1-0.046-581.31297709920.02659370.10637480.02033440.05602031.00210609670.9984033298-581.31297709921.0021060967-0.0021060967-0.002103882
-0.0458-579.27328244270.02539840.10159360.02004060.05577810.9953432280.9983920752-579.27328244270.9953432280.0046567720.0046676485
-0.0456-577.23358778630.02490620.09962480.02026090.05574530.994395310.9983807013-577.23358778630.994395310.005604690.0056204552
0-0.0454-575.19389312980.02383590.09534360.02007190.05578280.99547018120.9983692062-575.19389312980.99547018120.00452981880.0045401095
eff0-0.0452-573.15419847330.02271090.09084360.02018440.05581880.9964626170.9983575884-573.15419847330.9964626170.0035373830.0035436543
381.3-0.045-571.11450381680.02446090.09784360.02009530.05538280.98430962340.9983458459-571.11450381680.98430962340.01569037660.0158147735
MOTl(mm)10-0.0448-569.07480916030.02284370.09137480.02024220.05596251.00048175090.9983339772-569.07480916031.0004817509-0.0004817509-0.0004816349
OD60.000-0.0446-567.03511450380.02146090.08584360.02019220.05609061.00406398330.9983219803-567.03511450381.0040639833-0.0040639833-0.0040557476
-0.0444-564.99541984730.02106250.084250.02005310.05616721.00618240170.9983098533-564.99541984731.0061824017-0.0061824017-0.0061633691
factor1-0.0442-562.95572519080.02244530.08978120.01977030.05591090.9990490670.9982975945-562.95572519080.9990490670.0009509330.0009513854
n(/m^3)44260251529864700-0.044-560.91603053440.02079690.08318760.02037810.05520310.97913245910.9982852019-560.91603053440.97913245910.02086754090.0210883452
n()2.32E+10-0.0438-558.87633587790.0198750.07950.02000620.05581090.99626034040.9982726734-558.87633587790.99626034040.00373965960.0037466696
-0.0436-556.83664122140.02063280.08253120.02048910.05567660.99242163570.9982600073-556.83664122140.99242163570.00757836430.007607226
38555596888237700-0.0434-554.79694656490.01907810.07631240.02011560.05611721.00479769580.9982472013-554.79694656491.0047976958-0.0047976958-0.0047862235
2.0E+10-0.0432-552.75725190840.01810940.07243760.02011090.05612191.00492822540.9982342535-552.75725190841.0049282254-0.0049282254-0.0049161214
-0.043-550.71755725190.01844530.07378120.02061720.05601091.00185687880.9982211617-550.71755725191.0018568788-0.0018568788-0.0018551569
-0.0428-548.67786259540.01789060.07156240.02044060.05579060.99564283040.9982079238-548.67786259540.99564283040.00435716960.0043666897
-0.0426-546.63816793890.01798440.07193760.02020310.05534530.98321312060.9981945377-546.63816793890.98321312060.01678687940.016929376
-0.0424-544.59847328240.01735160.06940640.02040310.05560780.99050424570.998181001-544.59847328240.99050424570.00949575430.0095411265
-0.0422-542.5587786260.01701560.06806240.02009840.05570470.99328812250.9981673116-542.5587786260.99328812250.00671187750.0067345034
-0.042-540.51908396950.01522660.06090640.02046250.05568440.99264714170.9981534671-540.51908396950.99264714170.00735285830.0073800238
-0.0418-538.4793893130.01585940.06343760.02020940.05594220.99991325250.9981394652-538.4793893130.99991325250.00008674750.0000867513
-0.0416-536.43969465650.01364840.05459360.02040.05590160.99877058290.9981253035-536.43969465650.99877058290.00122941710.0012301735
-0.0414-534.40.01469530.05878120.02024380.05541560.98516308840.9981109796-534.40.98516308840.01483691160.0149480796
-0.0412-532.36030534350.01491410.05965640.02056090.05549840.98737014050.9980964909-532.36030534350.98737014050.01262985950.0127102941
-0.041-530.3206106870.01311720.05246880.02033750.05547190.98670516010.9980818349-530.3206106870.98670516010.01329483990.0133840075
-0.0408-528.28091603050.01334370.05337480.02020630.05535310.98342986650.998067009-528.28091603050.98342986650.01657013350.0167089538
-0.0406-526.2412213740.01210940.04843760.01993910.055050.97513483790.9980520107-526.2412213740.97513483790.02486516210.0251795223
-0.0404-524.20152671760.01149220.04596880.02040160.05524840.98039314980.9980368371-524.20152671760.98039314980.01960685020.0198016145
-0.0402-522.16183206110.01154690.04618760.01999380.05548130.98709372350.9980214857-522.16183206110.98709372350.01290627650.0129902861
-0.04-520.12213740460.01058590.04234360.02030.05536250.98365001840.9980059535-520.12213740460.98365001840.01634998160.0164851176
-0.0398-518.08244274819.75E-030.0390.02051720.05499690.9732302890.9979902378-518.08244274810.9732302890.0267697110.0271345455
-0.0396-516.04274809168.55E-030.034218760.02021560.05548130.98701360490.9979743357-516.04274809160.98701360490.01298639510.0130714555
-0.0394-514.00305343510.009945310.039781240.01994840.05522030.97985937680.9979582441-514.00305343510.97985937680.02014062320.0203462107
-0.0392-511.96335877868.58E-030.034312480.02024690.05540470.98485646420.99794196-511.96335877860.98485646420.01514353580.0152593701
-0.039-509.92366412210.006031250.0241250.02018280.05511090.97666829780.9979254805-509.92366412210.97666829780.02333170220.0236081955
-0.0388-507.88396946566.56E-030.026250.02053130.05534690.98310272770.9979088023-507.88396946560.98310272770.01689727230.01704166
-0.0386-505.84427480920.005640620.022562480.02030780.05491560.97110627850.9978919222-505.84427480920.97110627850.02889372150.0293193641
-0.0384-503.80458015276.73E-030.026906240.02030780.05501560.97391231150.997874837-503.80458015270.97391231150.02608768850.0264340087
-0.0382-501.76488549625.12E-030.020468760.02040940.05525470.98056613170.9978575433-501.76488549620.98056613170.01943386830.0196251887
-0.038-499.72519083970.005117190.020468760.02009060.05492970.97167456430.9978400377-499.72519083970.97167456430.02832543570.028734341
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