Principles of noise assisted transport in networks
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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.

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Principles of noise assisted transport in networks

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

In collaboration with: Animesh Datta & Filippo Caruso (Imperial College London, UK)

Alex Chin and Susana Huelga (Univ. Hertfordshire, UK)


Principles of noise assisted transport in networks

Noise seems a problem here as it destroys quantum coherence


Principles of noise assisted transport in networks

Weak coherent driving

Weak response


Principles of noise assisted transport in networks

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

Noise

Stochastic resonance


Principles of noise assisted transport in networks

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


Principles of noise assisted transport in networks

A Fundamental Experiment

Clicks

Time

Clicks

Time


Principles of noise assisted transport in networks

A Fundamental Experiment


Principles of noise assisted transport in networks

A Fundamental Experiment

Clicks

Time

Clicks

Time


Principles of noise assisted transport in networks

Photosynthesis

Green sulphur Bacteria

A black smoker in the Atlantic Ocean ~ 2000m deep

Y.C. Cheng and G.R. Fleming, Annu. Rev. Phys. Chem. 60, 241 (2009)


Principles of noise assisted transport in networks

Exciton Transport in Photosynthesis

Green sulphur Bacteria

Reaction Centre

CO

+ 2 H S

2

2

+ energy

CH O

+ H O

+ 2 S

2

2


Principles of noise assisted transport in networks

Exciton Transport in Photosynthesis

Green sulphur Bacteria

Reaction Centre

CO

+ 2 H S

2

2

+ energy

CH O

+ H O

+ 2 S

2

2


Principles of noise assisted transport in networks

Exciton Transport in Photosynthesis

Green sulphur Bacteria

Reaction Centre

Transfer to reaction centre

CO

+ 2 H S

2

2

+ energy

CH O

+ H O

+ 2 S

2

2


Principles of noise assisted transport in networks

Dephasing

Exchange of excitation

Transfer to reaction centre

Loss of excitation

Reaction Centre

CO

+ 2 H S

2

2

+ energy

CH O

+ H O

+ 2 S

2

2

M.B. Plenio and S.F. Huelga, New J. Phys. 10, 113019 (2008)


Principles of noise assisted transport in networks

Noise Assisted Transport and Photosynthesis

More dephasing

Some dephasing

No dephasing

Plenio & Huelga, New J. Phys. 2008

Mohseni, Rebentrost, Lloyd, Aspuru-Guzik, J. Phys. Chem. 2008


Principles of noise assisted transport in networks

Physical Origin of Noise Assisted Transport


Principles of noise assisted transport in networks

Exciton Transport in Photosynthesis

Show Movie 1: No dephasing Initial excitation in site 1


Principles of noise assisted transport in networks

Exciton Transport in Photosynthesis

Two differenttime scales !


Principles of noise assisted transport in networks

Destructive Interference and Invariant States

Clicks

Time

Clicks

Time


Principles of noise assisted transport in networks

Destructive Interference and Invariant States

=

J

J

Reactioncenter


Principles of noise assisted transport in networks

Destructive Interference and Invariant States

=

J

J

Reactioncenter

Transfer efficiency


Principles of noise assisted transport in networks

Noise Inhibits Destructive Interference

=

Decoherence inhibits destructive interference !

J

J

Reactionscenter

Transfer efficiency

Reactioncenter

Reduction ofdestructive interference


Principles of noise assisted transport in networks

Destructive Interference and Invariant States

Two atoms in the same location:

Invariant state:


Principles of noise assisted transport in networks

Dephasing on site 1 only

Show Movie1a: Small dephasing on site 1 only


Principles of noise assisted transport in networks

Dephasing on site 1 only


Principles of noise assisted transport in networks

Destructive Interference and Invariant States

Different energy splitting:

not invariant under Hamiltonian evolution !


Principles of noise assisted transport in networks

Disorder Inhibits Destructive Interference

Static disorder inhibits destructive interference !

J

J

Destructiveinterference

Reactioncenter

J

J

Reactioncenter

Reduction ofdestructive interference


Principles of noise assisted transport in networks

Disorder Inhibits Destructive Interference


Principles of noise assisted transport in networks

The Hamiltonian of the FMO complex

Quite strong static disorder compared to coupling strengths !


Principles of noise assisted transport in networks

Bridging the gap: Enhanced transport via line broadening


Principles of noise assisted transport in networks

Dephasing Noise on Site 3 only

Play Movie1ab: Same amount of dephasing noise now only on site 3

Play Movie1b: Dephasing noise only on site 3


Principles of noise assisted transport in networks

Dephasing Noise on Site 3 only


Principles of noise assisted transport in networks

Line broadening does enhance transfer!

No line broadening, No transfer!


Principles of noise assisted transport in networks

Spatially Correlated Noise

J

J

J

J

destructive

interference

destructive

interference

+J

-J

-J

-J

effect ofnoise enhanced

effect ofnoise reduced


Principles of noise assisted transport in networks

Spatially Correlated Noise

dephasing with non-local correlations

T=5 ps

local dephasing without correlations

Therefore, correlated noise does not lead to decisive improvements in this setting!


Principles of noise assisted transport in networks

Loss Enhanced Transport

J

J

destructive

interference

J

J

J

J

excitationlost

destructive interferencereduced


Principles of noise assisted transport in networks

Noise Assisted Transport and Photosynthesis

More dephasing

Some dephasing

No dephasing


Principles of noise assisted transport in networks

Dependence on Noise Strength

Inhibition of coupling

through dephasing

Reduction of destructive interference


Principles of noise assisted transport in networks

Robustness of Noise Assisted Transport

optimal dephasing

Two differenttime scales !

no dephasing

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


Principles of noise assisted transport in networks

Entanglement Dynamics

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


Principles of noise assisted transport in networks

|01>-|10>

J

J

J

destructive interference

reduced destructive interference

  • Each process open additional pathways for propagation

F.C., A.W. Chin, A. Datta, S.F. Huelga, M.B. Plenio, arxiv:0901.4454 (2009)


Principles of noise assisted transport in networks

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]


Principles of noise assisted transport in networks

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


Principles of noise assisted transport in networks

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


Principles of noise assisted transport in networks

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