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Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale University Dr. Luis G.C. Rego
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Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Dec 20, 2015

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Page 1: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Mr. Yinghua Wu

Multidimensional Quantum Dynamics: Methods and Applications

Yinghua Wu, Luis G.C. Rego and Victor S. BatistaDepartment of Chemistry, Yale University

Dr. Luis G.C. Rego

Page 2: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.
Page 3: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.
Page 4: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.
Page 5: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.
Page 6: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.
Page 7: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.
Page 8: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.
Page 9: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

(model I)

Page 10: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.
Page 11: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

2-dimensional (model I)

Page 12: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

2-dimensional (model I)

Page 13: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

2-dimensional (model I)

Page 14: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

2-dimensional (model I)

Page 15: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

5-dimensional (model I)

Page 16: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

5-dimensional (model I)

Page 17: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

5-dimensional (model I)

Page 18: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

5-dimensional (model I)

Page 19: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

5-dimensional (model I)

Page 20: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

5-dimensional (model I)

Page 21: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

5-dimensional (model I)

Page 22: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

10-dimensional (model I)

Page 23: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

(model II)

Page 24: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

2-dimensional (model II)

Page 25: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

2-dimensional (model II)

Page 26: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

2-dimensional (model II)

Page 27: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

2-dimensional (model II)

Page 28: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

20-dimensional (model II)

Page 29: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

20-dimensional (model II)

Benchmark calculation:

Page 30: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

157 nm

TS/SC-IVR Approach

Page 31: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

2.42 fs

2.42 fs

3.63 fs

3.63 fs

31

40

Instantaneous Time-Dependent Wavepackets

Page 32: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Survivial Amplitudes

Page 33: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Total Photodissociation Cross Sections

Page 34: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

31

Partial Photodissociation Cross Sections

Page 35: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Partial Photodissociation Cross Sections

Page 36: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Partial Photodissociation Cross Sections

Page 37: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.
Page 38: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Interfacial Electron Transfer in Sensitized TiO2 Nanostructures

Rego, L.G.C. and Batista, V.S. J. Am. Chem. Soc.125, 7989 (2003)

X:[-101]

Y:[010]

Z:[101]

Page 39: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Relaxed Supercell and HOMO Electronic Density

Page 40: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Density of States

Page 41: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Energy Diagram

Conduction Band

Valence Band

Page 42: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Charge Distribution at 2.5 fs after HOMO-LUMO photo-excitation

Page 43: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

LUMO Relaxation Dynamics

Page 44: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Time-Dependent Survival Probability

Page 45: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

X:[-101]

Y:[010]

Distribution of Injected Charge

Page 46: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

LUMO+1 Relaxation Dynamics

Page 47: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Time-Dependent Survival Probability

Page 48: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Initial Positive Charge (hole) Distribution

Page 49: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Positive Charge (hole) Distribution at 10 ps

Page 50: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Time-Dependent Adsorbate Populations

Page 51: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Correlation between the Time-Dependent Adsorbate Populations and Adsorbate-Nanostructure Separation

Page 52: Mr. Yinghua Wu Multidimensional Quantum Dynamics: Methods and Applications Yinghua Wu, Luis G.C. Rego and Victor S. Batista Department of Chemistry, Yale.

Influence of a train of 2-pi pulses at intervals of 600 fs