Bose-Einstein condensation 1 particle density thermal wavelength - - PowerPoint PPT Presentation

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bose einstein condensation 1 particle density thermal
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Bose-Einstein condensation 1 particle density thermal wavelength - - PowerPoint PPT Presentation

Aug 31, 2023 161 likes •246 views

Bose-Einstein condensation 1 particle density thermal wavelength critical point reached for fixed Bose-Einstein condensation 2 particle density ''condensed'' ''normal' density of p=0- Bosons state with p=0 not properly counted

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SLIDE 1

Bose-Einstein condensation particle density

thermal wavelength

critical point reached for fixed

1

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SLIDE 2

Bose-Einstein condensation particle density

state with p=0 not properly counted ''normal' ''condensed''

density of p=0-Bosons

2

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SLIDE 3

Bose-Einstein condensation equation of state compressibility V > Vc diverges at z = 1 3

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SLIDE 4

Bose-Einstein condensation entropy (fixed µ) entropy per particle contribution to entropy from normal particles only 4

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SLIDE 5

Bose-Einstein condensation specific heat (fixed N)

U T

Tc

T3/2

T5/2

classical ideal gas

5

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SLIDE 6

Bose-Einstein condensation phase diagram p-V-diagram p-T-diagram BEC 6

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SLIDE 7

Bose-Einstein condensation superfluid 4He bosonic atoms

BEC supefluid frictionless flow rigidity of condensate

„ λ - transition “

normal

superfluid

7

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SLIDE 8

Bose-Einstein condensation ultra-cold atomic gases

87Rb

37 electrons + 87 nucleons = 124 Fermions

Boson

2000 Rb atoms in a trap

Tc = 170 nK

velocity distribution

T > Tc T ~ Tc T < Tc

macroscopic

  • ccupation of

state with p = 0 8