propagation of polariton fluids and its control tomas ostatnický, alexey v. kavokin
TRANSCRIPT
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Propagation of polariton fluidsPropagation of polariton fluidsand its controland its control
Tomas Ostatnický, Alexey V. Kavokin
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Motivation
Spintronics – information stored in spinNeed of spin transport and processing
Microcavity polaritons: half-photon, half-excitoncombination of both, may carry spin and interactpromising for spin-optronic circuits
Electronics Photonics
Diffusive Ballistic Propagation
Resistivity Losses
~ 0 Interactions
~ 10 m Spin transport
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Theoretical approach: fluids
Assume local thermal equilibrium
Thermodynamical description
Parameters: density, current, entropy
Propagation controlled by static potential and chemical potential
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Towards superfluidity: multiple fluids
Superfluidity in He II explained by L. Landau in terms of two-fluid model
Coexistence of two interacting fluids: a normal fraction anda superfluid fraction
Mutual interactions much weaker than interactions within fluid fractions
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Multiple fluids & polaritons (1)
Helium atoms
Infinite lifetimeConstant density
One normal fraction
Polaritons
Finite lifetimeVariable density
Multiple normal fractionsLA-phonon assisted transition rate
(depending on QW width)
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Multiple fluids & polaritons (2)
Concept of Landau adapted for polaritons
Conservation laws +Navier-Stokes equation
+ friction + lifetime
4 equations for and S: the last equation is the equation of stateDetermines potential, pressure and temperatureBoth superfluid (coherent) and normal fractions present in model
nsns vv ,,,
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Superfluidity of polaritons
Expansion of normal component Shock waves in superfluid
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Polariton circuits (1)
1D quantum wire with single parabolic bandOne or Two “sources” on sidesVariable potential barrier by electric field
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Polariton circuits (2)
Steady-state chemical potential – comparison with electronsLifetime taken to be infiniteSource on the left, 0 on the right
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Polariton circuits (3)
Equilibrium established after t = lifetimeHere = 1 ns
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Polariton circuits (4)
Variable friction Variable lifetime
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Polariton circuits (5)
Two normal fluids from two sources with and without mutual friction
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Polariton circuits (6)
Control by locally applied electric field in normal direction
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Conclusions
Modelling of polariton fluid propagationSuperfluidity and coexistence of both fractions includedResults of simulations reveal behaviour of polaritons similar to
electronics but with some peculiaritiesPossibility of construction of circuits with propagating polaritonsPossibility of dynamical control by external electric field
Electronics Photonics Polaritons
Diffusive Ballistic Ballistic Propagation
Resistivity Lifetime Losses
~ 0 Interactions
~ 10 m Spin transport