Yuriy M. Bunkov
CRTBT - CNRS, Grenoble, France
Magnetic Superfluidity (from HPD to Q – ball)
1. Spin supercurrent2 20 years of homogeneously precessing domain3. Other coherent magnetic states in 3He4. Q-balls
Spin supercurrent
Fast relaxation in 3He-A
Real explanation. Instability of homogeneous precession (Fomon, Borovik-Romanov, Bunkov, Dmitriev Mukharskiy)
Review
Strange Long Lived Induction Decay Signal
A.S. Borovik-RomanovYu.M. BunkovV.V.DmitrievYu.M.Mukharsky
I.A.Fomin
1984
A.S.Borovik-Romanov, Yu.M.Bunkov, V.V.Dmitriev, Yu.M.Mukharskiy, JETP Letters v.40, p.1033, (1984). I.A.Fomin, JETP Letters v.40, p.1036, (1984).
HPD discovery
1. Closed geometry of the cell2. Digital memory recorder.
1. 100% Long Lived IDS2. Frequency changes with amplitude
e I(r t)e I(r t)
Mass superflow
ki
Spin supercurrent
H H
Domain with Homogeneous Precession of Magnetization, 1984
H H
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.106, (1984).
Domain with Homogeneous Precession of Magnetization, 1984
Domain with Homogeneous Precession of Magnetization, 1984
H H
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).
Domain with Homogeneous Precession of Magnetization, 1984
Domain with Homogeneous Precession of Magnetization, 1984
H H
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).
Domain with Homogeneous Precession of Magnetization, 1984
Domain with Homogeneous Precession of Magnetization, 1984
JMJM = A + B
H H
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).
Domain with Homogeneous Precession of Magnetization, 1984
Domain with Homogeneous Precession of Magnetization, 1984
H =
d Ed
d Sz
s
s
s
R(n)
L
SH
R(n) L
H
S
Ed
Ed
Yu.M.Bunkov, G.E.Volovik, Homogeneously Precessing Domains in 3He-B, JETP, v.76, p. 794, (1993).
0
0
1 1
SzLz
Dipole + magnetic gradient energy
104°
H
L
104°
R(n,)
S H
Dipole energy
Brinkman – Smith mode
0°
1. Magnetization conservation2. Longitudinal Magnetization conservation
H H
RF
JM
RF
Magnetization transport by Spin Supercurrent
+ Spin vortex phase slippage
Critical current
H H
RF
JM
Josephson effect
RF
Linear and non-linear
HPD
Catastropha
PSPS
Grenoble, 1999Coherent, Magnetically Excited States
Catastrophic relaxation
Yu.M.Bunkov, V.V.Dmitriev, Yu.M.Mukharskiy, J.Nyeki, D.A.Sergatskov, Europhysics Letters, v.8, p.645, (1989).
Yu.M.Bunkov, G.E.Volovik, "On the possibility of the Homogeneously Precessing Domain in Bulk 3He-A", Europhys. Lett, v. 21, p. 837 (1993)
Yu.M.Bunkov, G.E.Volovik, " Homogeneously Precessing Domains in 3He-B", JETP, v.76, p. 794, (1993).
Possible new coherent states
V.V.Dmitriev et all. States with fractional magnetization
V.V.Dmitriev et all. Analog state in Fermi liquid at non-hydrodinamic regime
s
s
s
R(n)
L
SH
R(n) L
H
S
Ed
Ed
Yu.M.Bunkov, G.E.Volovik, Homogeneously Precessing Domains in 3He-B, JETP, v.76, p. 794, (1993).
0
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H
Nonwetting. conditions for coherent quantum precession
Yu.M.Bunkov, O.D.Timofeevskaya, G.E.Volovik Phys. Rev. Lett., v. 73. p. 1817, (1994)
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HPD
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Surface Instability of Coherent Precession
Yu.M. Bunkov, V.L. Golo, O.D. Timofeevskaya, Czechoslovak Journal of Phys. V. 46, S1, p. 213 (1996).
Position, 0.1 mm
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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.Coleman (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
x
90°
S
L
S
x
90°
L
x
90°
S
L
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
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Time, (arb.units)
Larmore freq.
Max NMR shift
HL
S
3D Q-ball
HL
S
Q ball on topological defect
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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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1% HPD
HL
S
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
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
Identity of Non-linear SSW and Persistent Signals
Grenoble, 1997. A.-S. Chen, Yu.M. Bunkov, H. Godfrin, R. Schanen, F. Scheffer. J. Low Temp. Phys, 110, p. 51, (1998).
Conclusions
5. Many interesting results by Lancaster Group Spatial Manipulation of the Persistent Precessing Spin Domain in Superfluid 3He-B By: D. I. Bradley; D. O. Clubb; S. N. Fisher; A. M. Guénault; C. J. Matthews; G. R.Pickett;P.Skyba J. Low Temp.Phys, 134, 351, (2004 ) and references there
6. Off-resonance excitation, original properties of Q - ball type soliton solutions
4. PS radiates by SSW mode condensed in the minima of texture potential At low temperatures Orbital momentum participate in Magnetization precession
3. Q ball - like structures forms and can be found experimentally in superfluid 3He as a localized modes of SSW. They can be attracted by topological defects. 3He is a very good experimental system for studying Q -balls.
1. First Excited Coherent Quantum State of 3He, discovered in 1984, has very reach magnetic extension of superfluid properties: The Spin supercurrent, Josephson phenomena, phase slippage, spin vortices, magnetis coherent states etc. was found
2. The catastrophic relaxation is now completely explained
Order parameter in superfluid 3He-B
R(n)L
S
HHL
S
Min. d-d energy Vd = 104°
R(n)
k
d
L=1, Lk = 0S=1, Sd = 0
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Oscillations
Position in the cell, mm
S
L
n
L=R(n) S