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“When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology MIT-Harvard Center for Ultracold Atoms 9/2/09

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Page 1: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

“When freezing cold is not cold enough - new forms of matter close

to absolute zero temperature”Wolfgang Ketterle

Massachusetts Institute of TechnologyMIT-Harvard Center for Ultracold Atoms

9/2/09Meridian Lecture

Space Telescope Science InstituteBaltimore

Page 2: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Quantum Gases

The coldest matterin the universe

Page 3: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

What is temperature?

A measure of energy

One form of energy is motion(kinetic energy).

Page 4: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Cold particles move slowly

Hot particlesare fast

Page 5: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

What is the lowest temperatures possible?

Page 6: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Zero degree Kelvin(-273 degrees Celsius,

-460 degrees Fahrenheit) is the zero point

for energy

Page 7: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

The highest temperature is infinite

(In principle it is possible for particles to have arbitrarily high kinetic energies –until they become so heavy (due to E=mc2) that they from a black hole – at the Planck temperature of 1032 K)

Page 8: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

What is the differencein temperature between

summer and winter?

20 %

Page 9: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

How cold is interstellar space?

3 K

Page 10: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

How cold is itin our laboratories?

Nanokelvin:A billion times

colder than interstellarspace

Page 11: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Why can you makenew discoveries

at cold temperatures?

Page 12: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 13: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

What happens to atomsat low temperatures?

They slow down600 mph (300 m/sec) 1 cm/sec

They march in lockstep

Page 14: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Matter made of waves!

Page 15: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 16: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Energy

Pop

ulat

ion

per

ener

gy s

tate

What is Bose Einstein Condensation?

T=Tc

Bose-Einstein distribution

Page 17: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Energy

Pop

ulat

ion

per

ener

gy s

tate

What is Bose Einstein Condensation?

Bose-Einstein distribution

T<Tc

Condensate!

Page 18: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Energy

Pop

ulat

ion

per

ener

gy s

tate

What is Bose Einstein Condensation?

Bose-Einstein distribution

T<Tc

Condensate!

Page 19: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Laser lightOrdinary light

Photons/atoms moving randomly Photons/atoms are one big wave

Page 20: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

* 1925

Page 21: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

)(n1

1)( TkBe

1

1

TkBe

Max Planck

Black-Body Radiation“Photons”

Gases (Atoms and Molecules)

Page 22: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

The cooling methods

• Laser cooling• Evaporative cooling

Page 23: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Hot atoms

Page 24: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Hot atoms

Laser beams

Page 25: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Hot atoms

Laser beams

Fluorescence

Page 26: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Laser beams

Fluorescence

If the emitted radiation is blue shifted (e.g. by the Doppler effect) ….

Page 27: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Cold atoms: 10 – 100 K

Laser beams

Fluorescence

Chu, Cohen-Tannoudji, Phillips, Pritchard, Ashkin, Lethokov, Hänsch, Schawlow, Wineland …

Page 28: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

2.5 cm

Laser cooling

Page 29: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 30: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Evaporative cooling

Page 31: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Phillips et al. (1985)Pritchard et al. (1987)

Page 32: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 33: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

One challenge …

experimental complexity

Page 34: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Sodium laser cooling experiment (1992)

Page 35: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Sodium BEC I experiment (2001)

Page 36: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Dan Kleppner Tom Greytak Dave Pritchard

Page 37: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Dan Kleppner

Dave Pritchard

Eric Cornell Carl WiemanWolfgang Ketterle

Bill PhillipsPhD

PhD

Postdoc

Under-graduate

PhD

RandyHulet

PhD

Norman Ramsey

PhD

I.I. Rabi

PhD

Postdoc

Page 38: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Key factors for success:• Funding• Technical infrastructure• Excellent collaborators• Tradition and mentors

Page 39: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

How do we show that the Bose-Einstein

condensate has very low energy?

Page 40: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

The condensate• a puff of gas• 100,000 thinner than air• size comparable to the thickness of a hair• magnetically suspended in an ultrahigh vacuum chamber

Page 41: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

How to measure temperature?

Kinetic energy mv2/2 = kBT/2

Gas Effusive atomic beam

Page 42: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

How to measure temperature?

Kinetic energy mv2/2 = kBT/2

Gas Effusive atomic beam

Page 43: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

CCD

Page 44: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

CCD

Ballistic expansion: direct information about velocity distribution

Page 45: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

CCD

Absorption image: shadow of atoms

Ballistic expansion: direct information about velocity distribution

Page 46: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

The shadow of a cloud of bosonsas the temperature is decreased

(Ballistic expansion for a fixed time-of-flight)

Temperature is linearly related to the rf frequency which controls the evaporation

Page 47: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Distribution of the times when data images were takenduring one year between 2/98-1/99

Page 48: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Key factors for success:• Some funding• Technical infrastructure• Excellent collaborators• Tradition and mentors

Page 49: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Key factors for success:• Some funding• Technical infrastructure• Excellent collaborators• Tradition and mentors• Physical endurance

Page 50: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

How can you prove that atoms march in lockstep?

Atoms are one single waveAtoms are coherent

Page 51: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

One paint ball on a white wallTwo

Paint does not show wave properties

Page 52: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

One laser beam on a white wall

Light shows wave properties

Page 53: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

One laser beam on a white wallTwo

Fringe pattern:Bright-dark-bright-dark

Light shows wave properties

Page 54: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 55: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Two condensates ...

50 m

Page 56: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Interference of two Bose-Einstein condensates

Andrews, Townsend, Miesner, Durfee, Kurn, Ketterle, Science 275, 589 (1997)

Page 57: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 58: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

How do we show that the gas is superfluid?

Page 59: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 60: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 61: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Rigid body:

Page 62: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 63: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 64: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Vortices in nature

Page 65: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 66: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 67: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Spinning a Bose-Einstein condensate

Rotatinggreen laser beams

The rotating bucket experiment with a superfluid gas 100,000 thinner than air

Two-component vortex Boulder, 1999Single-component vortices Paris, 1999 Boulder, 2000 MIT 2001 Oxford 2001

J. Abo-Shaeer, C. Raman, J.M. Vogels,W.Ketterle, Science, 4/20/2001

Page 68: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

BEC on a microchip

Current Research

Page 69: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Loading sodium BECs into atom chipswith optical tweezers

BECproductionBEC

arrival

44 cm

T.L.Gustavson, A.P.Chikkatur, A.E.Leanhardt, A.Görlitz, S.Gupta, D.E.Pritchard, W. Ketterle, Phys. Rev. Lett. 88, 020401 (2002).

Atom chip with waveguides

Page 70: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 71: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Splitting of condensates

15ms Expansion

Two condensates

1mm

One trappedcondensate

Page 72: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Trapped 15ms expansion

1mm

Two condensates

Splitting of condensates

Page 73: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Two condensates

Splitting of condensates

Y. Shin, C. Sanner, G.-B. Jo, T. A. Pasquini, M. Saba, W. Ketterle, D. E. Pritchard, M. Vengalattore, and M. Prentiss: Phys. Rev. A 72, 021604(R) (2005).

Page 74: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Two condensates

Splitting of condensates

The goal:Atom interferometry:Matter wave sensors

Use ultracold atoms to sense

Rotation NavigationGravitation Geological exploration

Page 75: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Cold moleculesCold fermions

Current Research

Page 76: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Can electrons form a Bose-Einstein condensateand become superfluid (superconducting)?

Two kinds of particles• Bosons: Particles with an even number of protons, neutrons and electrons• Fermions: odd number of constituents

Only bosons can Bose-Einstein condense!

Page 77: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology
Page 78: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Can electrons form a Bose-Einstein condensateand become superfluid (superconducting)?

Two kinds of particles• Bosons: Particles with an even number of protons, neutrons and electrons• Fermions: odd number of constituents

Only bosons can Bose-Einstein condense!

How can electrons (fermions) condense?

They have to form pairs!

Page 79: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Can we learn something aboutsuperconductivity

of electrons from cold atoms?

Yes, by studying pairing and superfluidity of atoms with an odd number of protons,

electrons and neutrons

Page 80: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

M.W. Zwierlein, C. A. Stan, C. H. Schunck,S.M. F. Raupach, S. Gupta, Z. Hadzibabic,W.K., Phys. Rev. Lett. 91, 250401 (2003)

BEC of Fermion Pairs (“Molecules”)

Boulder Nov ‘03Innsbruck Nov ‘03, Jan ’04MIT Nov ’03Paris March ’04Rice, Duke

These days: Up to 10 million condensed molecules

Page 81: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Atomic Bose-Einsteincondensate (sodium)

Molecular Bose-Einsteincondensate (lithium 6Li2)

Pairs of fermionicatoms (lithium-6)

Gallery of superfluid gases

Page 82: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Ultracold atomsA “toolbox” for designer matter

Normal matter• Tightly packed atoms• Complicated Interactions• Impurities and defects

Page 83: Title “When freezing cold is not cold enough - new forms of matter close to absolute zero temperature” Wolfgang Ketterle Massachusetts Institute of Technology

Matter of ultracold atoms• 100 million times lower density• Interactions understood and controlled• no impurities• exact calculations possible

Ultracold atomsA “toolbox” for designer matter

Need 100 million times colder temperatures