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Coherence and decoherence of open quantum systems (OQS) HS Quanteninformation: Quantum Biology ITP January 2013

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Page 1: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

Coherence and decoherence of open quantum systems (OQS)

HS Quanteninformation: Quantum Biology

ITP January 2013

Page 2: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

OQS – Master Course

Quantum Many

Body Systems

Interacting many body system

Coherent Phenomena ( inc collective effects)

Entanglement generation, manipulation and control

Decoherence: influence of the environment

Page 3: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

OQS – Master Course

Quantum Many Body Systems

Emergence, characterization

and quantification

of quantum correlationsUtilization of quantum features

for simulation, metrology and sensing

Fundamental aspects:

Measures of classicality

and quantum coherence

Canonical Examples of Coherent Dynamics

Quantum Optics (Jaynes Cummings model,

EIT, Superradiance)

Page 4: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

Clear relation to actual in house experiments

Page 5: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

OQS – Master Course

Description of System - Environment interactions:

Dynamics of Open Quantum Systems: Decoherence

And beyond: Persistence of quantum coherence

in complex many body systems

Page 6: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

OQS – Master Course

Quantum Many Body Systems

Emergence, characterization and

quantification of quantum correlations

The dynamics of open quantum

systems: Decoherence

Utilization of quantum features

for simulation, metrology and sensing

Persistence of quantum coherence

in complex many body systems

Page 7: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

HS Quantum Biology-- Recent experimental results in energy transfer across types of

Photosynthetic complexes: evidence of quantum coherence

-- Noise assisted transport: Interplaying noise and coherence

for optimal performance

-- Physical origin of long lived quantum (exciton) coherence

Page 8: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

(Non-trivial) Quantum Effects

in Biology??

Page 9: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum
Page 10: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

Fenna-Matthew-Olson (FMO) complex

- R.E. Fenna and B.W. Matthews,

Nature 258 573 (1975)

- Y.-C. Cheng & G.R. Fleming,

Annual Reviews of Phys. Chem. 2009

- Schmidt am Busch et al,

The Eighth Bacteriochlorophyll

Completes the Excitation Energy Funnel

in the FMO Protein. J. Phys. Chem. Lett.

2, 93 (2011)

Page 11: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

Experimental evidence at

cryogenic and physiological

temperatures indicates the

presence of quantum coherence

Further results: Scholes group

Page 12: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

A theoretical model

Page 13: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

DephasingPhase randomization

RelaxationEnergy exchange

A Theoretical Model

j

jl

l

Page 14: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

No dephasing

Some dephasing

Plenio & Huelga, New J. Phys. 2008

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

More dephasing

Page 15: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

Reduction of

destructive

interference

Inhibition

of coupling

through

dephasing

Dependence on Noise Strength

Page 16: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum
Page 17: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

HS Quantum Biology

Theoretical modelling of open quantum systems

Quantification and detection of quantum correlations in

complex systems

Efficient numerical simulation of many body systems

Novel probing schemes: interfacing with quantum probes

Page 18: Coherence and decoherence of open quantum systems ...HS Quantum Biology-- Recent experimental results in energy transfer across types of Photosynthetic complexes: evidence of quantum

Institute of Theoretical Physics (AG Plenio & Huelga)