544
G. Hanna and A. Sergi
59. V. Pouthier, Vibrons in finite size molecular lattices: a route for high-fidelity quantum state
transfer at room temperature. J. Phys. Condens. Matter. 24(44), 445401 (2012)
60. O.V. Prezhdo, Mean field approximation for the stochastic Schrödinger equation. J. Chem.
Phys. 111, 8366–8377 (1999)
61. O.V. Prezhdo, V.V. Kisil, Phys. Rev. A 56, 162 (1997)
62. M. Ratner, A brief history of molecular electronics. Nat. Nanotechnol. 8(6), 378 (2013)
63. M. Santer, U. Manthe, G. Stock, Quantum-classical Liouville description of multi-dimensional
nonadiabatic molecular dynamics. J. Chem. Phys. 114, 2001 (2001)
64. J.R. Schmidt, P.V. Parandekar, J.C. Tully, Mixed quantum-classical equilibrium: surface
hopping. J. Chem. Phys. 129(4), 044104 (2008)
65. A. Sergi, D. MacKernan, G. Ciccotti, R. Kapral, Simulating quantum dynamics in classical
environments. Theor. Chem. Acc. 110, 49–58 (2003)
66. A. Sergi, F. Petruccione, Phys. Rev. E 81, 032101 (2010)
67. N. Shenvi, J.E. Subotnik, W. Yang, Phase-corrected surface hopping: Correcting the phase
evolution of the electronic wavefunction. J. Chem. Phys. 135(2), 024101 (2011)
68. N. Shenvi, J.E. Subotnik, W. Yang, Simultaneous-trajectory surface hopping: a parameter-free
algorithm for implementing decoherence in nonadiabatic dynamics. J. Chem. Phys. 134(14),
144102 (2011)
69. J.E. Subotnik, Augmented Ehrenfest dynamics yields a rate for surface hopping. J. Chem.
Phys. 132(13), 134112 (2010)
70. J.E. Subotnik, A. Jain, B. Landry, A. Petit, W. Ouyang, N. Bellonzi, Annu. Rev. Phys. Chem.
67, 387 (2016)
71. J.E. Subotnik, N. Shenvi, A new approach to decoherence and momentum rescaling in the
surface hopping algorithm. J. Chem. Phys. 134(2), 024105 (2011)
72. M.F. Tame, K.R. McEnery, S.K. Özdemir, J. Lee, S.A. Maier, M.S. Kim, Quantum plasmonics.
Nat. Phys. 9, 329 (2013)
73. D.V. Tsivlin, V. May, Multidimensional wave packet dynamics in polypeptides: coupled amideexciton chain-vibrational motion in an α-helix. Chem. Phys. 338(2–3), 150–159 (2007)
74. J.C. Tully, J. Chem. Phys. 93, 1061–1071 (1990)
75. J.C. Tully, Molecular dynamics with electronic transitions. J. Chem. Phys. 93, 1061 (1990)
76. J.C. Tully, Faraday Discuss. 110, 407–419 (1998)
77. J.C. Tully, Nonadiabatic dynamics, in Modern Methods for Multidimensional Dynamics
Computations in Chemistry, ed. by D.L. Thompson (World Scientific, New York, 1998), p. 34
78. D.A. Uken, A. Sergi, Quantum dynamics of a plasmonic metamolecule with a time-dependent
driving. Theor. Chem. Acc. 134, 141 (2015)
79. D.A. Uken, A. Sergi, F. Petruccione, Phys. Scr. T143, 014024 (2011)
80. D.A. Uken, A. Sergi, F. Petruccione, Filtering schemes in the quantum-classical Liouville
approach to nonadiabatic dynamics. Phys. Rev. E 88, 033301 (2013)
81. C. Wan, J. Schofield, J. Chem. Phys. 113, 7047 (2000)
82. C. Wan, J. Schofield, Exact and asymptotic solutions of the mixed quantum-classical Liouville
equation. J. Chem. Phys. 112, 4447 (2000)
83. C. Wan, J. Schofield, Mixed quantum-classical molecular dynamics: aspects of multithreads
algorithms. J. Chem. Phys. 113, 7047 (2000)
84. L.J. Wang, A. Akimov, O.V. Prezhdo, J. Phys. Chem. Lett. 7, 2100–2112 (2016)
85. L.J. Wang, A.E. Sifain, O.V. Prezhdo, J. Phys. Chem. Lett. 6, 3827–3833 (2015)
86. F. Webster, E.T. Wang, P.J. Rossky, R.A. Friesner, Stationary-phase surface hopping for
nonadiabatic dynamics – two-state systems. J. Chem. Phys. 100, 4835–4847 (1994)
87. E. Wigner, Phys. Rev. 40, 749 (1932)
88. R.P. Xu, Y.Q. Li, J.X. Tang, Recent advances in flexible organic light-emitting diodes. J. Mater.
Chem. C 4(39), 9116–9142 (2016)
89. W.Y. Zhang, R. Balescu, J. Plasma Phys. 40, 199 (1988)
90. J. Zuloaga, E. Prodan, P. Nordlander, Quantum plasmonics: nonlinear effects in the field
enhancement of a plasmonic nanoparticle dimer. ACS Nano 4, 5269 (2010)
G. Hanna and A. Sergi
59. V. Pouthier, Vibrons in finite size molecular lattices: a route for high-fidelity quantum state
transfer at room temperature. J. Phys. Condens. Matter. 24(44), 445401 (2012)
60. O.V. Prezhdo, Mean field approximation for the stochastic Schrödinger equation. J. Chem.
Phys. 111, 8366–8377 (1999)
61. O.V. Prezhdo, V.V. Kisil, Phys. Rev. A 56, 162 (1997)
62. M. Ratner, A brief history of molecular electronics. Nat. Nanotechnol. 8(6), 378 (2013)
63. M. Santer, U. Manthe, G. Stock, Quantum-classical Liouville description of multi-dimensional
nonadiabatic molecular dynamics. J. Chem. Phys. 114, 2001 (2001)
64. J.R. Schmidt, P.V. Parandekar, J.C. Tully, Mixed quantum-classical equilibrium: surface
hopping. J. Chem. Phys. 129(4), 044104 (2008)
65. A. Sergi, D. MacKernan, G. Ciccotti, R. Kapral, Simulating quantum dynamics in classical
environments. Theor. Chem. Acc. 110, 49–58 (2003)
66. A. Sergi, F. Petruccione, Phys. Rev. E 81, 032101 (2010)
67. N. Shenvi, J.E. Subotnik, W. Yang, Phase-corrected surface hopping: Correcting the phase
evolution of the electronic wavefunction. J. Chem. Phys. 135(2), 024101 (2011)
68. N. Shenvi, J.E. Subotnik, W. Yang, Simultaneous-trajectory surface hopping: a parameter-free
algorithm for implementing decoherence in nonadiabatic dynamics. J. Chem. Phys. 134(14),
144102 (2011)
69. J.E. Subotnik, Augmented Ehrenfest dynamics yields a rate for surface hopping. J. Chem.
Phys. 132(13), 134112 (2010)
70. J.E. Subotnik, A. Jain, B. Landry, A. Petit, W. Ouyang, N. Bellonzi, Annu. Rev. Phys. Chem.
67, 387 (2016)
71. J.E. Subotnik, N. Shenvi, A new approach to decoherence and momentum rescaling in the
surface hopping algorithm. J. Chem. Phys. 134(2), 024105 (2011)
72. M.F. Tame, K.R. McEnery, S.K. Özdemir, J. Lee, S.A. Maier, M.S. Kim, Quantum plasmonics.
Nat. Phys. 9, 329 (2013)
73. D.V. Tsivlin, V. May, Multidimensional wave packet dynamics in polypeptides: coupled amideexciton chain-vibrational motion in an α-helix. Chem. Phys. 338(2–3), 150–159 (2007)
74. J.C. Tully, J. Chem. Phys. 93, 1061–1071 (1990)
75. J.C. Tully, Molecular dynamics with electronic transitions. J. Chem. Phys. 93, 1061 (1990)
76. J.C. Tully, Faraday Discuss. 110, 407–419 (1998)
77. J.C. Tully, Nonadiabatic dynamics, in Modern Methods for Multidimensional Dynamics
Computations in Chemistry, ed. by D.L. Thompson (World Scientific, New York, 1998), p. 34
78. D.A. Uken, A. Sergi, Quantum dynamics of a plasmonic metamolecule with a time-dependent
driving. Theor. Chem. Acc. 134, 141 (2015)
79. D.A. Uken, A. Sergi, F. Petruccione, Phys. Scr. T143, 014024 (2011)
80. D.A. Uken, A. Sergi, F. Petruccione, Filtering schemes in the quantum-classical Liouville
approach to nonadiabatic dynamics. Phys. Rev. E 88, 033301 (2013)
81. C. Wan, J. Schofield, J. Chem. Phys. 113, 7047 (2000)
82. C. Wan, J. Schofield, Exact and asymptotic solutions of the mixed quantum-classical Liouville
equation. J. Chem. Phys. 112, 4447 (2000)
83. C. Wan, J. Schofield, Mixed quantum-classical molecular dynamics: aspects of multithreads
algorithms. J. Chem. Phys. 113, 7047 (2000)
84. L.J. Wang, A. Akimov, O.V. Prezhdo, J. Phys. Chem. Lett. 7, 2100–2112 (2016)
85. L.J. Wang, A.E. Sifain, O.V. Prezhdo, J. Phys. Chem. Lett. 6, 3827–3833 (2015)
86. F. Webster, E.T. Wang, P.J. Rossky, R.A. Friesner, Stationary-phase surface hopping for
nonadiabatic dynamics – two-state systems. J. Chem. Phys. 100, 4835–4847 (1994)
87. E. Wigner, Phys. Rev. 40, 749 (1932)
88. R.P. Xu, Y.Q. Li, J.X. Tang, Recent advances in flexible organic light-emitting diodes. J. Mater.
Chem. C 4(39), 9116–9142 (2016)
89. W.Y. Zhang, R. Balescu, J. Plasma Phys. 40, 199 (1988)
90. J. Zuloaga, E. Prodan, P. Nordlander, Quantum plasmonics: nonlinear effects in the field
enhancement of a plasmonic nanoparticle dimer. ACS Nano 4, 5269 (2010)
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