Bose-Einstein condensation BEC equation of stateedu.itp.phys.ethz.ch/hs10/stat/slides/BEC.pdf ·...

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Bose-Einstein condensation BEC equation of state compressibility V > V c diverges at z = 1

Transcript of Bose-Einstein condensation BEC equation of stateedu.itp.phys.ethz.ch/hs10/stat/slides/BEC.pdf ·...

Page 1: Bose-Einstein condensation BEC equation of stateedu.itp.phys.ethz.ch/hs10/stat/slides/BEC.pdf · 2015-09-02 · Bose-Einstein condensation BEC ultra-cold atomic gases 87Rb 37 electrons

Bose-Einstein condensation BEC

equation of state

compressibility V > Vc

diverges at z = 1

Page 2: Bose-Einstein condensation BEC equation of stateedu.itp.phys.ethz.ch/hs10/stat/slides/BEC.pdf · 2015-09-02 · Bose-Einstein condensation BEC ultra-cold atomic gases 87Rb 37 electrons

Bose-Einstein condensation BEC

entropy (fixed )

entropy per particle

contribution to entropy from normal particles only

Page 3: Bose-Einstein condensation BEC equation of stateedu.itp.phys.ethz.ch/hs10/stat/slides/BEC.pdf · 2015-09-02 · Bose-Einstein condensation BEC ultra-cold atomic gases 87Rb 37 electrons

Bose-Einstein condensation BEC

heat capacity (fixed N)

U

TTc

T3/2

T5/2

classical ideal gas

classi

cal ideal gas

Page 4: Bose-Einstein condensation BEC equation of stateedu.itp.phys.ethz.ch/hs10/stat/slides/BEC.pdf · 2015-09-02 · Bose-Einstein condensation BEC ultra-cold atomic gases 87Rb 37 electrons

Bose-Einstein condensation BEC

phase diagram

p-V-diagram p-T-diagram

BEC

Page 5: Bose-Einstein condensation BEC equation of stateedu.itp.phys.ethz.ch/hs10/stat/slides/BEC.pdf · 2015-09-02 · Bose-Einstein condensation BEC ultra-cold atomic gases 87Rb 37 electrons

Bose-Einstein condensation BEC

superfluid 4He bosonic atoms

BEC superfluid frictionless flow rigidity of condensate

„ - transition “

normalsuperfluid

Page 6: Bose-Einstein condensation BEC equation of stateedu.itp.phys.ethz.ch/hs10/stat/slides/BEC.pdf · 2015-09-02 · Bose-Einstein condensation BEC ultra-cold atomic gases 87Rb 37 electrons

Bose-Einstein condensation BEC

ultra-cold atomic gases87Rb 37 electrons + 87 nucleons = 124 Fermions Boson

2000 Rb atoms in a trap Tc = 170 nK

velocity distribution

T > TcT ~ Tc T < Tc

macroscopicoccupation of

state withp = 0


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BEC of Microcavity Polaritons - phyast.pitt.edusnoke/research/FinalThesis/FinalDissertation.pdf · BOSE-EINSTEIN CONDENSATION OF MICROCAVITY POLARITONS by Ryan Barrido Balili B.S.

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