Quick viewing(Text Mode)

Bose-Einstein Condensation Revisited

Bose-Einstein Condensation Revisited

Bose-Einstein condensation revisited

The award of the 2001 Nobel Prize for to Eric Cornell, and for their "achievement of Bose-Einstein condensation in dilute gases of alkali atoms and for early fundamental studies of the properties of the condensates" is the latest chapter in a long history.

Nobel condensate - how alkali metal atoms come together as the temperature is decreased. The image shows Bose-Einstein condensation at, from left to right, 400, 200, and 50 nK.

One hundred years ago, some began to suspect that a paper published. Bose had already sent it to the Philosophical electromagnetic radiation was packaged - or "quantized" - rather Magazine, where it had been turned down. The paper showed how than being a continuous stream.This followed 's discov­ Planck's distribution law for photons could be derived from first ery that the spectrum of light from a hot object could be explained principles. Duly impressed, Einstein translated it into German, and only if the radiators sat in discrete energy states. By 1905 Albert the paper was published in 1924 in ZeitschriftfurPhysik. Einstein concluded that the radiation itself was emitted as bursts of As a result, Einstein temporarily turned away from his dogged but energy - light quanta - later to be called photons. Einstein's key unsuccessful search for a unified theory of gravitation and electro- explanation earned him the 1921 Nobel Prize for Physics. and started work on the quantum theory of radiation. In 1924 (see box) from Dacca University, in Thus was born the concept of "Bose-Einstein" statistics for quanta what was then India, wrote to Einstein asking for his help in getting ("") carrying an integer value of intrinsic angular momen- >

CERN Courier December 2001 21 NOBEL PRIZE

Satyendra Nath Bose 1894-1974

Satyendra Nath Bose was born in Calcutta, the "The Indian Bose has given a beautiful derivation son of a railway worker. An outstanding physics of Planck's law." Soon physics history was made. student, he also had a talent for languages and Bose and Einstein met in Berlin in 1925. Bose translated milestone physics material from French returned to Dacca and in 1945 moved to and German into English for local publication. Calcutta, where he spent the remainder of his One of his efforts was a text by Einstein on career. General Relativity, the English-language rights for His name is now enshrined in physics. A which had meanwhile been acquired by a London "" is a particle of integer spin that obeys publisher. At Bose's request, Einstein himself Bose-Einstein statistics and is the counterpart of intervened and allowed the Bose translation to be a "", which is a particle of half-integer spin used inside India. Satyendra Nath Bose - that obeys Fermi-Dirac statistics. Unlike Dirac, It was this episode that gave Bose, working in enshrined in particles. Einstein and Fermi, Bose did not achieve a Nobel Dacca, the confidence to approach Einstein again prize. However, in 1930 Venkata Raman, also of in 1924 with the new derivation of the Planck radiation law: Calcutta, earned the Nobel Prize for Physics for the light- "Respected Sir, I have ventured to send you the accompanying scattering effect that bears his name. He was the first scientist article for your perusal and opinion." Einstein was impressed: from outside Europe and the US to earn the coveted award.

turn (spin). There is no limit to the number of bosons that can tem.This gave an estimate of the amount of condensed atoms in the simultaneously occupy any one quantum state. liquid - only about 8%, because strong interactions in liquid Einstein noted that if the number of such particles is conserved, make it deviate significantly from the ideal non-interacting gas. even totally non-interacting particles should undergo a change of Superfluid helium flows without resistance, as if no internal behaviour at low enough temperatures - Bose-Einstein condens­ frictional forces act in the liquid.This was explained by a phenomen- ation. Bose had not predicted this because he was looking at ological theory devised by L D Landau in 1941, eventually earning photons, which can simply disappear when the energy of the system him the 1962 Nobel Prize for Physics. In this theory, is decreased. derives from the fact that when the available energy is low enough, The condensation that Einstein predicted derives from the fact only long-wavelength phonons (the vibration quanta of the medium) that the number of states available at very low energy becomes can be excited. exceedingly small. With less and less room for all of the particles when the temperature is decreased, they accumulate (condense) pairs in the lowest possible (ground) energy state. Although was first seen in 1911, reaching a full theoretical explanation took nearly 50 years. In 1957 J Bardeen, Superbehaviour and its effects LN Cooper and J R Schrieffer ("BCS") proposed a theory based on Even before this was going on, the liquefaction of helium by cryogenic phonon-mediated interactions between the of the metal. pioneer H Kamerlingh Onnes (1913 Nobel Prize for Physics) opened This earned them the 1972 Nobel Prize for Physics. up new areas of physics study. Materials cooled by liquid helium to The BCS theory showed that superconductivity is due to strong within a few degrees of absolute zero showed bizarre behaviour. correlations between electrons of opposite spin.This creates a highly However, it took time for the real nature of these effects, which are coherent state that is insensitive to perturbations, hence the lack of now known as superconductivity and superfluidity, to become clear. electrical resistance. Electron pairs can be considered as bosonic Superconductivity is the virtual disappearance of electrical resis­ particles and the superconductivity transition is similar to tance at liquid-helium temperatures, and superfluidity is the virtual Bose-Einstein condensation. disappearance of viscosity as we know it. Superfluid helium flows Earlier, V L Ginsburg and Landau had suggested a phenomen- without resistance, as if no internal frictional forces act in the liquid. ological theory. Although the implications of this approach emerged (Appropriately, these properties are being exploited to the full in the only slowly, it did lead to new developments in spontaneous cryogenics for CERN's new LHC collider, the superconducting mag­ symmetry breaking, which turned out to be crucial for particle nets of which will be cooled by superfluid helium at 1.9 K). physics in what is now known as the "Higgs mechanism". | In 1938 Fritz London suggested that superfluidity could be caused Helium-3 atoms, which have half-integer spin, are not bosons and by the bosonic condensation of helium-4 atoms, which have integer should not condense like helium-4 to become superfluid. However, spin.This was supported by the fact that no similar effect had then in the same way that electron pairs make materials superconducting been seen with the rarer helium-3 isotope, the atoms of which do at low temperatures, the BCS mechanism also opens up the possi­ not have integral spin (see below). bility of superfluid helium-3. The discovery of superfluid helium-3 In the 1950s, 0 Penrose and L Onsager related superfluidity to earned the 1996 Nobel Prize for Physics for David Lee, Douglas the long-range order displayed by a highly correlated bosonic sys­ Osheroffand Robert Richardson.

22 CERN Courier December 2001 A DEFINITIVE PULL-OUT GUIDE TO RESEARCH SUPPLIERS CERN COURIER ADVERTISING SUPPLEMENT DECEMBER 2001-2002

COMPUTING, SOFTWARE AND INFORMATION TECHNOLOGY

CRYOGENICS AND VACUUM

RADIOFREQUENCY, POWER SUPPLIES AND ENGINEERING

IMAGING, MATERIALS AND INSTRUMENTATION T

ELECTRONICS AND DATA COMMUNICATION

In association with JEIWI A Convergence of Excellence Beamline assemblies delivered with unmatched aualitv, speed, and price.

Beryllium Window Assemblies

Complete Beamline Assemblies Precision Positioning Translation Systems Beamstops Beam Pipes Shutters Primary and Secondary Slits Beryllium Window Assemblies Wigglers Transport Pipes and Stands Cryogenic Systems Mirror Systems Monochromators Spectrometer Filters X-Ray Sample Heating & Cooling Chambers Beam Pipes Precision Positioning Spectrometer for Beamline Ion Chambers System (Optical Table) for BL12XU at Spring-8 Japan UHV Chambers MAX-lab Macromolecular Oscillation Cameras

Translation System for Monochromator Chamber LANSCE facility at Los for Advanced Photon Source Alamos National Laboratory Beam line components for Advanced Photon Source

Wiggler precision system Monochromator for Beamstops for Advanced for Cornell High Energy Advanced Photon Source Photon Source Synchrotron Source

Quality Assurance Advanced Design Consulting, Inc. ISO 9001 Corporate Headquarters 126 Ridge Road, P.O. Box 187, Lansing, NY 14882 Tel (607) 533-3531 Fax (607) 533-3618 Web: www.advdes.com • E-mail: [email protected] 1 F ul •v il •L.*^! b^l W" "^^B T~M r~~^ K4 K| L*l K-_^^l ra H W n w\ Q H ^3 ^a Hi H PJ H H H rfl 3 Ni Q 1 1 / BC fec< frw R, cun Supe 0 Mierwn Ren Beain iai ans loa ane ®g#atfa —._J •feofifettMT^^—^J -P~~~~~~—- JL —-—--—____ 3 E hpacitors ^^—-^ "———— er 0 ^uc^——-^J Particle acct>i<»Z^—-^J systems ——- J QeamvonuT ~~—~~G ^naeoir~————_J ^^r^^^—• i Insult ^—~~—~-^_ s****^^ J ^mrics ~——J ^ott^~~~~~~~ J soorc ~~——- ^^iniG----—J -—---^^rators • ——______^$5?^ — "O /Company /Wc address '"^$g~~ -~~]

mbe —~—~-G__G^"eis G es 0 ^wccoo^r———J ^nttna^noT^^---J !^foeT~~^-----G ^^e^orT——__ !^*^^ —-J r 3= 4^ to 4a» CO to 3E 3= * 0 : -£» ro CO 00 CJl 00 CJl Caburn-MDC cabum.co.uk O 00 CJl • • G -P* -p^ 4^ =i ro CO 4^ 00 00 4^ 5: 0 CabumUHVLtd caburnuhv.com • V 3= 3? * 00 CO CO 00 CO CO 00 CAEN caen.it 0 (_L --4 •& % to CO O CML Engineering Sales cmlengineering.com • ,_A 4^ CO CD O G • 3= > 3= CO CD CO O • • • • • Elektro Metall Schwanenmiihie GmbH em-schwanenmuehle.de 0 4* CJl G 3= 3= * CO co 0 4^ CO CD CD 0 G Eurotherm Automation eurotherm.tm.fr G 3= 3> * -P=. CO ro 00 cn 0 • G F.U.G. Elecktronik GmbH fug-elektronik.de 0 00 0 CO m ro ro % m c • • 5: * ,_*. CD CO • GMW Associates gmw.com • 1 • G •z 4^ -p^ 4^ 4* ro 4* 00 0 Goodfellow Cambridge Ltd 3= goodfellow.com 0 H CO O 0 4* -p*. G High Voltage Technology 3= 5: * highvoltagetechnology.com 0 co 2 00 CJl CD CD 00 i • s- fe ,_* CO CJl 0 Janis Research * janis.com 4* *» 5= •$• 3= O • • Kniirr AG knuerr.ch 806 b4b © hk 5- *» -p^ 45* ro 4* O • 3= % 0 CD • • Kurt J Lesker Company Ltd lesker.com * ~ (^ 3= 55 4^ CO • • Lake Shore Cryotronics Iakeshore.com CD •£» -p^ --J 0 0 0 0 * 5- % • • Mclennan Servo Supplies mclennan.co.uk 0 00 0 CO CD ro 3 5: • CO 5: kfki.hu/mta-ita_lai : ,_» G • 4* 4=> -P=> • * 3= =s Pearson Electronics pearsonelectronics.com CD 4*» 4*. G CD CO 00 4* CO 00 • G 3= 3; > Pulse Power & Measurement Ltd ppm.co.uk O -~J CO G G • • # -p* 4* -P* o • % • • O CO "^ 4* ^ Redcliffe Magtronics redmag.co.uk • • -P* CD -P^ ro 4=» 00 CO o 3= § o • Scanditronix Magnet AB scxmagnet.se O o • G .£» CO o CO -4 co O 00 CJl • o * 3= 3= G G G • SCHAEFER Technology schaefer-tec.com O * G -P* ro CJl CJl CJl CO CO o ro CO CJl Sigmaphi 3= 3b > sigmaphi.fr o CO OJ o -P* CD * s- % Staubli Faverges staubli.com 50 65 6( ° <= CO CO CJl o o % • o CO o o CO Thales Electron Devices thales-electrondevices.com •

G -P* • • -P>. ro o 00 CJl co CJl CJl CJl • 3= > % • • • TMD Technologies tmd.co.uk o ~*l o,

G ,_>. cn CJl 3= 3= > • • Universal Voltronics Corp voltronics.com ro o o c G 4=» CO ro o • • • o CD CO CO CO cn 3= S; Vision Electric vision-electric.de Q

• «*»

o o i 1 o I C* TO • ... o I s $ S I CD ^ Is- I I a> jr I Co >0 I 3 g I <& s- I <« 3» I m^m

J I ss 3

I IS] 2

Pi 5 NOBEL PRIZE

In 1901 the first Nobel prize award ceremony was held at what is now called the Old Royal Academy of Music in Stockholm. In Christiania (now Oslo), the names of the Nobel laureates were announced in the Storting (the Norwegian Parliament - in 1905 Norway reverted to being a separate monarchy). The winner of the first Nobel prizes were: physics - Wilhelm Rontgen for his discovery of X-rays; chemistry - J Hvan't Hoff for his work on chemical dynamics; medicine and physiology - Emil Adolf von Behring for his work on serum therapy, especially its application against diphtheria; literature - Sully Prudhomme (Rene Francois Armand Prudhomme); peace - Jean Henri Dunant, founder of the Red Cross in Geneva, and Frederic Passy, founder of the first French peace society. To commemorate the centennial of the first Nobel awards, all of the living laureates have been invited to participate in a Centennial Week in December. Beginning with lectures at various universities around Sweden and Norway, the week culminates with the Nobel festivities on 10 December in Stockholm and Oslo. Several hundred laureates are expected to participate in the event.

Einstein in Berlin at about the time that he heard from Bose, Pairing effects, this time between nucleons rather than electrons, who had translated a text on General Relativity. can also play a role in nuclear physics. The ultimate candidates for Bose-Einstein condensation were atoms. However, the experimental challenges were formidabJe and had to await the development of suitable trapping and cooling mm% Multiplexed BPMs techniques to confine and groom the atomic states. ( In 1995, some 70 years after Einstein's original prediction, those I Log-ratio BPMs who went on to earn this year's Nobel prizes succeeded in achieving mmm0 Digital Analog frontends this extreme state of matter. Cornell and Wieman produced a pure Instrumentation Variable-frequency BPMs condensate of about 2000 rubidium atoms at 20 nK. Independently, Ketterle performed experiments with sodium atoms. His conden­ sates contained more atoms and could therefore be used to inves­ tigate the phenomenon further. Making two separate condensates U.S.A./Canada: ! merge into one another, he obtained very clear interference pat­ GMW Associates [email protected] terns, showing that the condensate contained coherent atoms. Ketterle also produced a stream of small drops that fell under the action of gravity - a primitive "laser beam" using matter rather than light. Japan: To achieve the very low temperatures needed for Bose-Einstein Repic Corporation condensation, physicists have to exploit laser cooling, in which [email protected] atoms lose energy via the continued absorption and emission of photons of radiation. , Claude Cohen-Tannoudji and William Phillips were awarded the 1997 Nobel Prize for Physics for their development of these techniques. Since these pioneer experiments, Bose-Einstein condensation has been achieved in a variety of chemical elements (see "http://amo.phy.gasou.edu/bec.html"). One of the latest develop­ The Faraday Cup sponsors... ments is a Bose-Einstein condensate on a microelectronic chip (see Serving the World of Accelerators pl4). These achievements are a tribute to the ingenuity and perseverance of experimenters, and they demonstrate the subtle interplay of many new scientific techniques. •

CERN Courier December 2001 23