Transport properties and low-frequency noise in low-dimensional ...
Principles of Noise Assisted Transport in Networks
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Transcript of Principles of Noise Assisted Transport in Networks
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Imperial College London
Institute for Mathematical Sciences&
Quantum Optics and Laser Science GroupBlackett Laboratory
Imperial College London
http://www.imperial.ac.uk/quantuminformation
Principles of Noise Assisted Transport in Networks
Martin B Plenio
In collaboration with: Animesh Datta & Filippo Caruso (Imperial College London, UK) Alex Chin and Susana Huelga (Univ. Hertfordshire, UK)
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Noise seems a problem here as it destroys quantum coherence
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Weak coherent driving
Weak response
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Weak coherent driving + weak noise give a strong coherent response.
Stochastic resonance
Noise
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Biological systems can use noise to improve their sensitivity to weak coherent signals
Can we use this in quantum mechanics ?
Noise can be good for you in quantum mechanics too for entanglement generation and preservation !
Huelga & Plenio, PRA 1999, PRA 2000 & PRL 2002 & PRL 2007
See also overview talk by Susana Huelga Friday
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Clicks
Time
Clicks
Time
A Fundamental Experiment
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A Fundamental Experiment
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Clicks
Time
Clicks
Time
A Fundamental Experiment
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Green sulphur Bacteria
Photosynthesis
A black smoker in the Atlantic Ocean ~ 2000m deep
Y.C. Cheng and G.R. Fleming, Annu. Rev. Phys. Chem. 60, 241 (2009)
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Green sulphur Bacteria
Exciton Transport in Photosynthesis
Reaction Centre
CO2+ 2 H S2
+ energy
CH O2
+ 2 S + H O2
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Green sulphur Bacteria
Reaction Centre
Exciton Transport in Photosynthesis
CO2+ 2 H S2
+ energy
CH O2
+ 2 S + H O2
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Transfer to reaction centre
Green sulphur Bacteria
Reaction Centre
Exciton Transport in Photosynthesis
CO2+ 2 H S2
+ energy
CH O2
+ 2 S + H O2
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Loss of excitation
Transfer to reaction centre
Reaction Centre
CO2+ 2 H S2
+ energy
CH O2
+ 2 S + H O2
M.B. Plenio and S.F. Huelga, New J. Phys. 10, 113019 (2008)
Exchange of excitation
Dephasing
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Noise Assisted Transport and Photosynthesis
No dephasing
Some dephasing
Plenio & Huelga, New J. Phys. 2008 Mohseni, Rebentrost, Lloyd, Aspuru-Guzik, J. Phys. Chem. 2008
More dephasing
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Physical Origin of Noise Assisted Transport
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Exciton Transport in Photosynthesis
Show Movie 1: No dephasing Initial excitation in site 1
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Two differenttime scales !
Exciton Transport in Photosynthesis
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Clicks
Time
Clicks
Time
Destructive Interference and Invariant States
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Destructive Interference and Invariant States
J J
Reactioncenter
=
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Destructive Interference and Invariant States
Tran
sfer
eff
icie
ncy
J J
=
Reactioncenter
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Noise Inhibits Destructive Interference
Decoherence inhibits destructive interference !
Tran
sfer
eff
icie
ncy
Reduction ofdestructive interference
J J
Reactionscenter
Reactioncenter
=
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Destructive Interference and Invariant States
Invariant state:
Two atoms in the same location:
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Dephasing on site 1 only
Show Movie1a: Small dephasing on site 1 only
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Dephasing on site 1 only
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Destructive Interference and Invariant States
not invariant under Hamiltonian evolution !
Different energy splitting:
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Static disorder inhibits destructive interference !
Disorder Inhibits Destructive Interference
J J
J JDestructiveinterference
Reactioncenter
Reduction ofdestructive interference
Reactioncenter
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Disorder Inhibits Destructive Interference
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The Hamiltonian of the FMO complex
Quite strong static disorder compared to coupling strengths !
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Bridging the gap: Enhanced transport via line broadening
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Dephasing Noise on Site 3 only
Play Movie1b: Dephasing noise only on site 3
Play Movie1ab: Same amount of dephasing noise now only on site 3
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Dephasing Noise on Site 3 only
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No line broadening, No transfer!Line broadening does enhance transfer!
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J J
destructive interference
-J -J
Spatially Correlated Noise
effect ofnoise reduced
J J
destructive interference
+J -J
effect ofnoise enhanced
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local dephasing without correlations
dephasing with non-local correlations
T=5 ps
Therefore, correlated noise does not lead to decisive improvements in this setting!
Spatially Correlated Noise
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J J
destructive interference
J J
Loss Enhanced Transport
destructive interference
reduced
J J
excitationlost
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Noise Assisted Transport and Photosynthesis
No dephasing
Some dephasing
More dephasing
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Reduction of destructive interference
Inhibition of coupling through dephasing
Dependence on Noise Strength
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Two differenttime scales !
Robustness against strong static disorder compared to coupling strengths (i.e. 20%)!
optimal dephasing
no dephasing
Robustness of Noise Assisted Transport
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F.Caruso., A.W. Chin, A. Datta, S.F. Huelga, M.B. Plenio, to be submitted
Entanglement Dynamics
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F.C., A.W. Chin, A. Datta, S.F. Huelga, M.B. Plenio, arxiv:0901.4454 (2009)
|01>-|10>
J J
reduced destructive interferencedestructive interference
J
Each process open additional pathways for propagation
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The Fundamental Mechanisms
Dephasing can reduce destructive interference
Energy mismatch can reduce destructive interference
Dephasing noise increases overlap of energy levels
Each process open additional pathways for propagation
Plenio & Huelga, New J. Phys. 10, 113019 (2008)Caruso, Chin, Datta, Huelga, Plenio, arxiv:0901.4454 [quant-ph]
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Can we improve solar cellsbased on this idea ?
More generally: Adding the right kind of noise, to the right kind of nano-structure can improve its performance.
Engineer system to generate constructive interplay between quantum dynamics and noise
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This talk was based on
Plenio & Huelga, New J. Phys. 10, 113019 (2008)
Caruso, Chin, Datta, Huelga, Plenio, E-Print arXiv:0901.4454
Caruso, Chin, Datta, Huelga, Plenio, to be submitted
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We move to Ulm to establish Center for Quantum Engineering
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