For an energy transfer network, the irreversible depletion of excited electron energy occurs through either an efficient flow into an outer energy sink or an inefficient decay. With a small decay rate, the energy transfer efficiency is quantitatively reflected by the average life time of excitation energy before being trapped in the sink where the decay process is omitted. In the weak dissipation regime, the trapping time is analyzed within the exciton population subspace based on the secular Redfield equation. The requirement of the noise-enhanced energy transfer is obtained, where the trapping time follows an exact or approximate 1/Γ-scaling of the dissipation strength Γ. On the opposite side, optimal initial system states are conceptually constructed to suppress the 1/Γ-scaling of the trapping time and maximize the coherent transfer efficiency. Our theory is numerically testified in four models, including a biased two-site system, a symmetric three-site branching system, a homogeneous one-dimensional chain, and an 8-chromophore FMO protein complex.
References
[1]
A.
Chenu
and G. D.
Scholes
, Annu. Rev. Phys. Chem.
66
, 69
(2015
).[2]
R.
Kosloff
and A.
Levy
, Annu. Rev. Phys. Chem.
65
, 365
(2014
).[3]
D. Z.
Xu
and J. S.
Cao
, Front. Phys.
11
, 110308
(2016
).[4]
P.
Brumer
and M.
Shapiro
, Ann. Rev. Phys. Chem.
43
, 257
(1992
).[5]
S. J.
Glaser
, U.
Boscain
, T.
Calarco
, C. P.
Koch
, W.
Köckenberger
, R.
Kosloff
, I.
Kuprov
, B.
Luy
, S.
Schirmer
, T.
Schulte-Herbrüggen
, D.
Sugny
, and F. K.
Wilhelm
, Eur. Phys. J. D
69
, 279
(2015
).[6]
K. M.
Gaab
and C. J.
Bardeen
, J. Chem. Phys.
121
, 7813
(2004
).[7]
A.
Olaya-Castro
, C. F.
Lee
, F. F.
Olsen
, and N. F.
Johnson
, Phys. Rev. B
78
, 085115
(2008
).[8]
B. M.
Plenio
and F. S.
Huelga
, New J. Phys.
10
, 113019
(2008
).[9]
F.
Caruso
, A. W.
Chin
, A.
Datta
, S. F.
Huelga
, and M. B.
Plenio
, J. Chem. Phys.
131
, 105106
(2009
).[10]
F.
Caruso
, New J. Phys.
16
, 055015
(2014
).[11]
J. S.
Cao
and R. J.
Silbey
, J. Phys. Chem. A
113
, 13825
(2009
).[12]
J. L.
Wu
, F.
Liu
, Y.
Shen
, J. S.
Cao
, and R. J.
Silbey
, New J. Phys.
12
, 105012
(2010
).[13]
J.
Moix
, J. L.
Wu
, P. F.
Huo
, D.
Coker
, and J. S.
Cao
, J. Phys. Chem. Lett.
2
, 3045
(2011
).[14]
J. L.
Wu
, F.
Liu
, J.
Ma
, R. J.
Silbey
, and J. S.
Cao
, J. Chem. Phys.
137
, 174111
(2012
).[15]
J. L.
Wu
, R. J.
Silbey
, and J. S.
Cao
, Phys. Rev. Lett.
110
, 200402
(2013
).[16]
M.
Mohseni
, P.
Rebentrost
, S.
Lloyd
, and A.
Aspuru-Guzik
, J. Chem. Phys.
129
, 174106
(2008
).[17]
P.
Rebentrost
, M.
Mohseni
, I.
Kassal
, S.
Lloyd
, and A.
Aspuru-Guzik
, New J. Phys.
11
, 033003
(2009
).[18]
I.
Kassal
and A.
Aspuru-Guzik
, New J. Phys.
14
, 053041
(2012
).[19]
R. de J.
Léon-Montiel
, I.
Kassal
, and J. P.
Torres
, J. Phys. Chem. B
118
, 10588
(2014
).[20]
M.
Mohseni
, A.
Shabani
, S.
Lloyd
, and H.
Rabitz
, J. Phys. Chem.
140
, 035102
(2014
).[21]
L.
Mühlbacher
and U.
Kleinekathöfer
, J. Phys. Chem. B
116
, 3900
(2012
).[22]
E. K.
Irish
, R.
Gomez-Bombarelli
, and B. W.
Lovett
, Phys. Rev. A
90
, 012510
(2014
).[23]
U.
Weiss
, Quantum Dissipative Systems
, New Jersey
: World Scientific Publishing Company
, (2008
).[24]
H.
Breuer
and F.
Petruccione
, The Theory of Open Quantum Systems
, New York
: Oxford University Press
, (2002
).[25]
T.
Förster
, Ann. Phys. (Leipzig)
437
, 55
(1948
).[26]
P.
Hanggi
, P.
Talkner
, and M.
Borkovec
, Rev. Mod. Phys.
62
, 251
(1990
).[27]
B. J.
Schwartz
, Annu. Rev. Phys. Chem.
54
, 141
(2003
).[28]
S.
Mukamel
, Principles of Nonlinear Optical Spectroscopy
, New York
: Oxford University Press
, (1995
).[29]
V.
May
and K.
Oliver
, Charge and Energy Transfer Dynamics in Molecular Systems
, Weinheim
: Wiley-VCH
, (2004
).[30]
H.
Haken
and P.
Reineker
, Z. Phys.
249
, 253
(1972
).[31]
H.
Haken
and G.
Strobl
, Z. Phys.
262
, 135
(1973
).[32]
S.
Nakajima
, Prog. Theor. Phys.
20
, 948
(1958
).[33]
[34]
A. G.
Redfield
, IBM J. Res. Dev.
19
, 1
(1957
).[35]
G.
Lindblad
, Commun. Math. Phys.
48
, 119
(1976
).[36]
Y.
Tanimura
and R.
Kubo
, J. Phys. Soc. Jpn.
58
, 101
(1989
).[37]
A.
Ishizaki
and Y.
Tanimura
, J. Phys. Soc. Jpn.
74
, 3131
(2005
).[38]
Y.
Tanimura
, J. Chem. Phys.
141
, 044114
(2014
).[39]
Y.
Tanimura
, J. Chem. Phys.
142
, 144110
(2015
).[40]
Y. A.
Yan
, F.
Yang
, Y.
Liu
, and J. S.
Shao
, Chem. Phys. Lett.
395
, 216
(2004
).[41]
J. S.
Shao
, Chem. Phys.
322
, 187
(2006
).[42]
Y.
Zhou
and J. S.
Shao
, J. Chem. Phys.
128
, 034106
(2008
).[43]
R. X.
Xu
, P.
Cui
, X. Q.
Li
, Y.
Mo
, and Y. J.
Yan
, J. Chem. Phys.
122
, 041103
(2005
).[44]
J.
Hu
, M.
Luo
, F.
Jiang
, R. X.
Xu
, and Y. J.
Yan
, J. Chem. Phys.
134
, 244106
(2011
).[45]
Y. J.
Yan
, J. Chem. Phys.
140
, 054105
(2014
).[46]
R. X.
Xu
, Y.
Liu
, H. D.
Zhang
, and Y. J.
Yan
, Chin. J. Chem. Phys.
30
, 395
(2017
).[47]
J. M.
Moix
and J. S.
Cao
, J. Chem. Phys.
139
, 134106
(2013
).[48]
C. Y.
Hsieh
and J. S.
Cao
, J. Chem. Phys.
148
, 014103
(2018
).[49]
C. Y.
Hsieh
and J. S.
Cao
, J. Chem. Phys.
148
, 014104
(2018
).[50]
Q.
Shi
, L. P.
Chen
, G. J.
Nan
, R. X.
Xu
, and Y. J.
Yan
, J. Chem. Phys.
130
, 084105
(2009
).[51]
H.
Liu
, L. L.
Zhu
, S. M.
Bai
, and Q.
Shi
, J. Chem. Phys.
140
, 134106
(2014
).[52]
Z. F.
Tang
, X. L.
Ouyang
, Z. H.
Gong
, H. B.
Wang
, and J. L.
Wu
, J. Chem. Phys.
143
, 224112
(2015
).[53]
C. R.
Duan
, Z. F.
Tang
, J. S.
Cao
, and J. L.
Wu
, Phys. Rev. B
95
, 214308
(2017
).[54]
C. R.
Duan
, Q. L.
Wang
, Z. F.
Tang
, and J. L.
Wu
, J. Chem. Phys.
147
, 164112
(2017
).[55]
J. L.
Wu
, Z. F.
Tang
, Z. H.
Gong
, J. S.
Cao
, and S.
Mukamel
, J. Phys. Chem. Lett.
6
, 1240
(2015
).[56]
The terms of ‘coherent’ and ‘incoherent’ usually refer to the local basis representation. The evolutions in the exciton population and coherence subspaces correspond to the coherent and incoherent motions of local sites, respectively.
[57]
J. L.
Wu
and J. S.
Cao
, Adv. Chem. Phys.
146
, 329
(2011
).[58]
P. W.
Anderson
, Phys. Rev.
109
, 1492
(1958
).[59]
J. M.
Moix
, M.
Khasin
, and J. S.
Cao
, New J. Phys.
15
, 085010
(2013
).[60]
R. E.
Fenna
and B. W.
Matthews
, Nature (London)
258
, 573
(1975
).[61]
D. E.
Tronrud
, J. Z.
Wen
, L.
Gay
, and R. E.
Blankenship
, Photosynth. Res.
100
, 79
(2009
).[62]
M. Schmidt am
Busch
, F.
Müh
, M. E. A.
Madjet
, and T.
Renger
, J. Phys. Chem. Lett.
2
, 93
(2011
).[63]
J.
Adolphs
and T.
Renger
, Biophys. J.
91
, 2778
(2006
).[64]
A.
Ishizaki
and G. R.
Fleming
, Proc. Natl. Acad. Sci. USA
106
, 17255
(2009
).[65]
A.
Potočnik
, A.
Bargerbos
, F. A. Y. N.
Schröder
, S. A.
Khan
, M. C.
Collodo
, S.
Gasparinetti
, Y.
Salathé
, C.
Creatore
, C.
Eichler
, H. E.
Türeci
, A. W.
Chin
, and A.
Wallraff
, Nat. Commun.
9
, 904
(2018
).
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