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Cosmology in superfluid 3He Yuriy M. Bunkov
C R T B T – C N R S, Grenoble, France
E
P
Fermi liquid
Vc
Ef
Pf
Zurek scenario
Superfluid 3He bolometry
60 µm hole
Sintered silverCopper box
Vibrating Wires (5 µm and 13 µm)
4.5
5
5.5
6
6.5
12:00 12:10 12:20 12:30 12:40 12:50 13:00
Neutrons detection
Time
760 keV
13,1
13,15
13,2
13,25
13,3
6:00:00 6:12:00 6:24:00 6:36:00 6:48:00 7:00:00
Particle-Background Detection
TIME
100 keV
40
45
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55
60
65
70
-0.05
0.00
0.05
0.10
0.0 5.0 10 15 20 25 30 35
F, (B-A)
Pressure, (bar)
-0.35
-0.30
-0.25
-0.20
-0.15
-0.10
-0.05
0.00
0.05
0.0 0.050 0.10 0.15 0.20 0.25
214347
Time, (s)
A
B
Figure 1
Order parameterHe-B
R(n)
HL
S
k
d
3
R(n)L
S
H
HPD
Catastropha
PSPS
Grenoble, 1999
A.S.Borovik-Romanov, Yu.M.Bunkov, V.V.Dmitriev, Yu.M.Mukharskiy, JETP Letters v.40, p.1033, (1984). Sov.Phys.JETPh, v.61, p.1199, (1985). I.A.Fomin, JETP Letters v.40, p.1036, (1984).
Coherent, Magnetically Excited States
Domain with Homogeneous Precession of Magnetization, 1984
Catastrophic relaxation
Yu.M.Bunkov, V.V.Dmitriev, Yu.M.Mukharskiy, J.Nyeki, D.A.Sergatskov, Europhysics Letters, v.8, p.645, (1989).
2. Coherenent State, which radiates the Persistent signal
Moscow resultsYu.M.Bunkov, S.N.Fisher, A.M.Guenault, G.R.Pickett, S.R.Zakazov, Physica B, v. 194, p. 827, (1994).
Discovery, Lancaster, 1992Yu.M.Bunkov, S.N.Fisher, A.M.Guenault, G.R.Pickett, Phys, Rev, Letters, v.69, p3092, (1992).
``Coherent Spin Precession and Texture in 3He-B.''Yu.M. Bunkov, LT-21, Czechoslovak Journal of Phys. V. 46, S1, p. 231 (1996).
Lancaster experimental conformationYu.M. Bunkov, D.J. Cousins, M.P.Enrico, S.N.Fisher, G.R.Pickett, N.S.Shaw, W.Tych, LT-21, Czechoslovak Journal of Phys. V. 46, S1, p. 233 (1996).
Moscow
Lancaster
Q-ball - Spherically symmetric non-topological soliton with conserved global charge Q
Proposed by S.Colleman (1985) in frame of relativistic field theory as a semi-classical model of elementary particles formation
Current interest due to Q-balls dark matter model
E(mQ)< E(Q)m
In relativistic field theory
(r t) exp(- it)(r)
Q = d3x[i(dtdt]
E d3x[ I I2 II2 U(II)]
Q (r) = S - Sz(r)
dEddSz
= = Hdd(S,L)
S+ (r) = S (r) e it
In 3He-B
Lz
Sz
0
10
1
1
Q (r) = S - Sz(r)
dEddSz
= = Hdd(S,L)
S+ (r) = S (r) e it
In 3He-B
Ed
R(n)
L
SH
R(n) L
H
S
HL
S
Follow Voislav Golo algorithm(15 equations)
Spatial case
Yu.M.Bunkov, V.L.Golo, J Low Temp Phys, to be published
+ E grad + E surf
0
20
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0 10 20 30 40 50
Position, 0.1 mm
Ang
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0 10 20 30 40 500
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0 10 20 30 40 500
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0 10 20 30 40 500
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Position, 0.1 mm
Ang
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of d
efle
ctio
n, d
egre
e
0
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0 10 20 30 40 50
Position, 0.1 mm
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efle
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egre
e
0
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1,5
2
2,5
0 50 100 150 200 250
Time, (arb.units)
Larmore freq.
Max NMR shift
HL
S
3D Q-ball
HL
S
Q ball on topological defect
0
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0 10 20 30 40 50Position in the cell
S
L H H
Computer simulationGrenoble 2004
H
Lz
LH
z
Calculations of a spatial deflection of spin and orbit on basis of Poisson brackets and Takagi relaxation
Follow Voislav Golo algorithm
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N9500RM.BH
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N9300RM.BH
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Grenoble, 2004
Ang
les
of d
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ctio
n, d
egre
e
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Grenoble, 2004
Ang
les
of d
efle
ctio
n, d
egre
e
Position, 0.1 mm
1% HPD
HL
S
Grenoble experiments with Non-linear Stationary Spin Waves
0.25 Tc
A.-S. Chen, Yu.M. Bunkov, H. Godfrin, R. Schanen, F. Scheffer. J. Low Temp. Phys, 110, p. 51, (1998).
Following Landau and Lifchitz we consider an anharmonic oscillator with a third order of nonlinearity
Non-linear Stationary Spin-waves – or Q ball, if you like!
A.S. Chen,Yu. M. Bunkov, H. Godfrin, R. Schanen and F. Scheffler J. of Low Temp. Phys. 113, 693 (1998).
H H
H
=H+ Hz
Quantum billiard
Anne-Sophie CHEN, Ph D Thesis, Grenoble, (1999)
Grenoble, 1999Off-resonante NMR excitation
D.J.Cousins, S.N.Fisher, A.I.Gregory, G.R.Pickett, N.S.Shaw, Phys. Rev. Lett, 82, 4484, (1999)
Anne-Sophie CHEN, Ph D Thesis, Grenoble, (1999)
s
pd
rf
rf
Qb
dd
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l
Grigori Volovik
Non-linear Stationary Spin Waves in Flared out texture
NMR of Rotated superfluid 3He-B O.T.Ikkala, G.E.Volovik, P.Y.Hakonen,
Yu.M.Bunkov, S.T.Islander, G.A.Haradze, JETP Letters v.35, p.416 (1982).
L
First observation of Spin Waves in Orbital Texture
D.D.Osheroff, Physica B, 90, 20 (1977).
An
gle
L-H
Before rotation During rotation After rotation
H
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