principles of noise assisted transport in networks

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mperial College London Institute for Mathematical Sciences & Quantum Optics and Laser Science Group Blackett 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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Imperial College London. Principles of Noise Assisted Transport in Networks. Martin B Plenio. Institute for Mathematical Sciences & Quantum Optics and Laser Science Group Blackett Laboratory Imperial College London http://www.imperial.ac.uk/quantuminformation. - PowerPoint PPT Presentation

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Page 1: Principles of Noise Assisted Transport in Networks

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)

Page 2: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Page 3: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Page 4: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Page 5: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Page 6: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Page 7: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Page 8: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Noise seems a problem here as it destroys quantum coherence

Page 9: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Weak coherent driving

Weak response

Page 10: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Weak coherent driving + weak noise give a strong coherent response.

Stochastic resonance

Noise

Page 11: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

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

Page 12: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Clicks

Time

Clicks

Time

A Fundamental Experiment

Page 13: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

A Fundamental Experiment

Page 14: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Clicks

Time

Clicks

Time

A Fundamental Experiment

Page 15: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

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)

Page 16: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Green sulphur Bacteria

Exciton Transport in Photosynthesis

Reaction Centre

CO2+ 2 H S2

+ energy

CH O2

+ 2 S + H O2

Page 17: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Green sulphur Bacteria

Reaction Centre

Exciton Transport in Photosynthesis

CO2+ 2 H S2

+ energy

CH O2

+ 2 S + H O2

Page 18: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Transfer to reaction centre

Green sulphur Bacteria

Reaction Centre

Exciton Transport in Photosynthesis

CO2+ 2 H S2

+ energy

CH O2

+ 2 S + H O2

Page 19: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

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

Page 20: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

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

Page 21: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Physical Origin of Noise Assisted Transport

Page 22: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Exciton Transport in Photosynthesis

Show Movie 1: No dephasing Initial excitation in site 1

Page 23: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Two differenttime scales !

Exciton Transport in Photosynthesis

Page 24: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Clicks

Time

Clicks

Time

Destructive Interference and Invariant States

Page 25: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Destructive Interference and Invariant States

J J

Reactioncenter

=

Page 26: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Destructive Interference and Invariant States

Tran

sfer

eff

icie

ncy

J J

=

Reactioncenter

Page 27: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Noise Inhibits Destructive Interference

Decoherence inhibits destructive interference !

Tran

sfer

eff

icie

ncy

Reduction ofdestructive interference

J J

Reactionscenter

Reactioncenter

=

Page 28: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Destructive Interference and Invariant States

Invariant state:

Two atoms in the same location:

Page 29: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Dephasing on site 1 only

Show Movie1a: Small dephasing on site 1 only

Page 30: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Dephasing on site 1 only

Page 31: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Destructive Interference and Invariant States

not invariant under Hamiltonian evolution !

Different energy splitting:

Page 32: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Static disorder inhibits destructive interference !

Disorder Inhibits Destructive Interference

J J

J JDestructiveinterference

Reactioncenter

Reduction ofdestructive interference

Reactioncenter

Page 33: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Disorder Inhibits Destructive Interference

Page 34: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

The Hamiltonian of the FMO complex

Quite strong static disorder compared to coupling strengths !

Page 35: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Bridging the gap: Enhanced transport via line broadening

Page 36: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

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

Page 37: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Dephasing Noise on Site 3 only

Page 38: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

No line broadening, No transfer!Line broadening does enhance transfer!

Page 39: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

J J

destructive interference

-J -J

Spatially Correlated Noise

effect ofnoise reduced

J J

destructive interference

+J -J

effect ofnoise enhanced

Page 40: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

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

Page 41: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

J J

destructive interference

J J

Loss Enhanced Transport

destructive interference

reduced

J J

excitationlost

Page 42: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Noise Assisted Transport and Photosynthesis

No dephasing

Some dephasing

More dephasing

Page 43: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Reduction of destructive interference

Inhibition of coupling through dephasing

Dependence on Noise Strength

Page 44: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

Two differenttime scales !

Robustness against strong static disorder compared to coupling strengths (i.e. 20%)!

optimal dephasing

no dephasing

Robustness of Noise Assisted Transport

Page 45: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

F.Caruso., A.W. Chin, A. Datta, S.F. Huelga, M.B. Plenio, to be submitted

Entanglement Dynamics

Page 46: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

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

Page 47: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

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]

Page 48: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

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

Page 49: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

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

Page 50: Principles of Noise Assisted Transport in Networks

Lisbon, 8th July 2009

We move to Ulm to establish Center for Quantum Engineering

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