quantum biomimeticsnanotr16/notes/sganguly-1.pdf · 28 singlet yield plot has peaks at certain...
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Quantum Biomimetics
Swaroop Ganguly, Vishvendra Poonia
Department of Electrical Engineering, IIT Bombay
29-Feb-2016HRI, Allahabad
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Prologue: quantum mechanics in electronics
Quantum mechanics in biology - overview Photosynthesis Olfaction; In-Elastic Tunneling Spectroscopy …
…Avian Compass Overview State transitions & coherence Functional window Solid-state emulation: Diamond N-V centers
Conclusions
Outline
2
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Quantum Mechanics in Electronic Devices
3
Quantum Effects
Covert
Bandstructure(m*) Scattering (µ)
Overt
Quantum Confinement Tunneling
http
://w
ww.
tf.un
i-kie
l.de/
mat
wis
/am
at/s
emi_
en/k
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Quantum Mechanics in Electronic Devices
4
Quantum Effects
Covert
Bandstructure(m*) Scattering (µ)
Overt
Quantum Confinement Tunneling
http://ww
w.mind-lam
p.com/inside-m
ind-lamp.php
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Quantum Mechanics in Electronic Devices
5
Quantum Effects
Covert
Bandstructure(m*) Scattering (µ)
Overt
Quantum Confinement Tunneling
ww
w.ir-nova.se
??
Pillarisetty et al., IEDM, 2010
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Quantum Mechanics
6
ˆnn E nH ˆi t t
t
H
Time-dependent Time-independent
Schrödinger Equation (dynamical evolution: ‘normal’)
nn
c n System is in a ‘coherent’ superposition of energy eigenstates, until measured
Collapses to an eigenstate when measured (measurement: ‘weird’)
2 2nP n n c
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Quantum Information Processing
7http://news.asiantown.net/r/33809/nsa-wants-to-build-a-super-quantum-computer-to-crack-all-encryptions-in-the-world
Simultaneous computing with and in logic gate
http://what-buddha-said.net/gallery/index.php/Science/bit_vs_qubit
0 1
No ‘measurement’ until computation is performed: tough
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Quantum Information Processing
8
Simultaneous computing with and in logic gate0 1
No ‘measurement’ until computation is performed: tough
D-Wave ‘quantum computer’
Operates @ –273ºC
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9
Quantum Mechanics in Biology - overview
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10http://www.astrobio.net/topic/origins/extreme-life/photosynthesis-in-the-abyss/
Black Sea green sulphur bacteria: 3 photons per day per bacteriochlorophyll molecule!
Energy transfer from antenna to reaction center with η ≈ 1
Photosynthesis
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Fourier transform:
Photosynthesis
11
Chin
et a
l., P
hil.
Tran
s. R
. Soc
., 20
12
Broadening due to environmental interaction 2E t
Energy-time Uncertainty
1 2t
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Recall: QM level repulsion
12
00
0
0ˆ0
HUnperturbed Hamiltonian
Spectrum: eigenstates degenerate eigenvalues 1 0
,0 1
0
Perturbed Hamiltonian 0
0
ˆ
H
Spectrum: eigenstates eigenvalues 1 11 1,1 12 2 0
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Photosynthesis
13
Chin
et a
l., P
hil.
Tran
s. R
. Soc
., 20
12
‘Phonon Antenna’
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Olfaction
14
Shape Theory
https://www.newscientist.com/article/dn20130-fly-sniffs-molecules-quantum-vibrations/
Turin’s Vibration Theory
http://theconversation.com/whats-that-smell-a-controversial-theory-of-olfaction-deemed-implausible-42449
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Olfaction
15
Jiaan
d G
uo, C
hem
. Soc
. Rev
., 20
13
In-Elastic Tunneling Spectroscopy (IETS)
Electronic alternative to optical methods (Raman, FTIR) integrated sensor?
Courtesy: A
shleshaP
atil
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Olfaction
16
IETS: low temperature – for small thermal broadening of peaks
Sensor: Electron-energy filtering quantum confinement?
Reed, Materials Today, 2008
GaN wet-etched nanowire (Banerjee et al., APL 2015)
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17
Avian Compass
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18
Introduction
Magnetoreception: sensing of terrestrial magnetic field
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Behavioral experiments @ FrankfurtLocal geomagnetic field = 46 µT
19
Behavioral Characteristics
Polarity compass only No North-South distinction
Operational in certain optical frequency range only
RF disruption Small (50nT) field transverse RF field (specific frequency
1.315 MHz) destroys compass action
Functional window Dynamic range: ± 30% of local geomagnetic field
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20
Photo-generation of radicals
Spin state evolution of radical pair under local nuclear magnetic field and geomagnetic field
Radical pair recombination
The product depends on the spin state of radical
pair just before recombination
Ritz, Adem, & Schulten, Biophys. J. 78, 707 (2000)
Radical Pair (RP) Mechanism
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21
RF field (1.316 MHz) disruption(cannot be magnetite…only)
One electron free from hyperfine
Hamiltonian
Hyperfine InteractionZeeman Interaction
Radical Pair (RP) Model
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N. L
ambe
rt, e
t al.
Nat
ure
Phys
ics,
201
3.
22
Solov'yov, Schulten, SPIE New
sroom, 2009
Cryptochrome
E. M. G
auger, et al. PRL, 2011Radical Pair (RP) Model
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23
RP System: 3-spin system 8-dimensional Hilbert space
Singlet and triplet channels: two ‘shelving’ states
Radical pair + Nucleus density matrix
Phenomenological Master Equation: density-matrix unitary evolution + environmental effects
RP Spin Dynamics
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Phenomenological master equation for radical pairs
Initial State:
Radical pair state is singlet state:
Nuclear state is completely mixed state
And four similar operators corresponding to nuclear down
spin states
24
RP Spin Dynamics
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25
0.00
0.25
0.50
0.75
1.00
/8 /4 3/8 /2
a/B=0.20
Spin
Yie
lds a/B=0.01
S Yield T0 Yield T+ Yield T- Yield
a/B=0.70
/8 /4 3/8 /2
a/B=10.00
/8 /4 3/8 /2
0.00
0.25
0.50
0.75
1.00
a/B=2.00a/B=1.00
000
Spin
Yie
lds
Singlet (S) and triplet (T0, T+, T-) yields vs. geomagnetic yield orientation for various hyperfine coupling strengths
State Transitions
State transitions for hyperfine and Zeeman
Hamiltonian interactions
Poonia et al., PRE 2015
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26
Coherence & Entanglement
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27
Singlet yield plot has peaks at certain field inclinations
Peak corresponds to dip in nuclear (intrinsic) decoherence
Coherence quantifier:
/8 /4 3/8 /20.6
0.8
1.0
Singlet Yield Relative Entropy of Coherence
Nor
mal
ized
Qua
ntity
a/B=1
0
(Nuclear) Decoherence
Poonia et al., PRE 2015
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28
Singlet yield plot has peaks at certain field inclinations
Peak corresponds to dip in nuclear (intrinsic) decoherence
Peak disappears from nuclear state disentangled from RP
0.00
0.25
0.50
0.75
1.00
/8 /4 3/8 /20.00
0.25
0.50
0.75
1.00
/8 /4 3/8 /2 /8 /4 3/8 /2
Spi
n Y
ield
s
a/B=0.20
a/B=10.00
00
Spi
n Y
ield
s a/B=1.00
a/B=0.01
a/B=2.00
S Yield T0 Yield T+ Yield T- Yield
0
a/B=0.70
(Nuclear) Decoherence
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Environmental (extrinsic) decoherence modeled with Lindblad noise operators, Master equation gets modified:
Γ: noise rate. Lindblad noise operators Li:
E. M. Gauger, et al. PRL 106.4 2011
(Environmental) Decoherence
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/8 /4 3/8 /20.00
0.25
0.50
0.75
1.00
/8 /4 3/8 /2
0.00
0.25
0.50
0.75
1.00
/8 /4 3/8 /2
a/B=2
Sin
glet
Yie
ld
a/B=100
00
Sin
glet
Yie
ld
a/B=0.01 a/B=1a/B=0.50
s-1 xs-1 s-1
0
a/B=5
(Environmental) Decoherence
Sensitivity destroyed for larger noise rates Decoherence times > 10 µs
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Functional Window
10-1 100 101 102 1030.0
0.1
0.2
0.3
0 50 100 150 200
0.14
0.16
0.18
0.20
0.22
Sen
sitiv
ity (D
S)
Magnetic Field (T)
/8 /4 3/8 /20.20
0.25
0.30
0.35
0.40
0.45
0.50
0
Sing
let Y
ield
Without RF field With RF field
Same biologically feasible parameter set yields: Functional window characteristic (but not sharp one) Adaptability of functional window to field variation RF disruption property Poonia et al., QuEBS 2014
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G. B
alas
ubra
man
ian,
et a
l., N
at. M
ater
. 200
9
32
Bio-mimetics: spin dynamics in diamond
Nitrogen impurity + Vacancy (NV) centre, NV– state Ground and excited triplet states Intermediate singlet states Long coherence time (~ ms) at 300K
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G. B
alas
ubra
man
ian,
et a
l., N
atur
e 20
08
33
Bio-mimetics: spin dynamics in diamond
0 100 200 300 400 500 6000.0
0.2
0.4
0.6
0.8
0 5 10 15 200.0
0.2
0.4
Popu
latio
n of
spin
sub
leve
ls
Time (ns)
ms = 0 ms = +1 ms = -1
Polarization and ODMR modeled using spin dynamics ~ RP
Poonia
et al., CTC
MP 2015
2.7 2.8 2.9 3.0 3.1
8.3 mT
5.8 mT
ms=
0 p
opul
atio
n
Frequency (GHz)
0 mT
2.8 mT
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G. B
alas
ubra
man
ian,
et a
l., N
atur
e 20
08
34
Bio-mimetics: spin dynamics in diamond
DC magnetometry possible, for larger fields
Terrestrial field sensing presents detection challenges: limited by linewidth (50kHz ~ 20mG)
Feasibility of AC (nT) magnetometry, coherence effects TBD
2.7 2.8 2.9 3.0 3.1
8.3 mT
5.8 mT
ms=
0 p
opul
atio
n
Frequency (GHz)
0 mT
2.8 mT
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Unexpected ‘cool’ physics in ‘warm’ environments
Potential for bio-mimetic ‘quantum engineering’ Efficient energy-harvesting Sensitive electronic nose Sensitive magnetometry
Goals Physics-based modeling of quantum biological system Modeling of potential quantum biomimetic systems Fabrication of quantum bio-mimetic devices
Conclusions
35
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Students Ashlesha Patil (4th yr. DD) Utkarsh Sharma, Raunak Suryavanshi (3rd yr. DD)
Faculty Colleagues Dipankar Saha
Support Department of Electrical Engineering, IIT Bombay DeitY: Centre of Excellence in Nanoelectronics, Indian
Nanoelectronics Users Programme
Acknowledgments
36
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37
THANK YOU!