Multidimensional attosecond resonant X-ray spectroscopy of molecules: Lessons from the optical regime

Annual Review of Physical Chemistry

Volumn 64, Issue , 2013, Pages 101-127

  Mukamel, Shaul ^a   Healion, Daniel ^a   Zhang, Yu ^a   Biggs, Jason D ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Coherence; Core hole; Electron correlation; Stimulated Raman; Ultrafast

Indexed keywords

ELECTRONS; FREE ELECTRON LASERS; QUANTUM THEORY; X RAY SPECTROSCOPY;

ATTOSECONDS; CORE HOLE; FREE-ELECTRON LASERS; HIGH HARMONIC GENERATION; LASER HARMONICS; OPTICAL-; STIMULATED RAMAN; ULTRA-FAST; VALENCE ELECTRON; X-RAY SPECTROSCOPY;

MOLECULES;

ALGORITHM; METHODOLOGY; RAMAN SPECTROMETRY; REVIEW; SPECTROMETRY; SPECTROSCOPY; X RAY;

ALGORITHMS; SPECTROMETRY, X-RAY EMISSION; SPECTRUM ANALYSIS; SPECTRUM ANALYSIS, RAMAN; X-RAYS;

EID: 84875977389     PISSN: 0066426X     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev-physchem-040412-110021     Document Type: Article

References (156)

1. Bloembergen N. 1982. Nonlinear optics and spectroscopy. Rev. Mod. Phys. 54:685-95
2. Zewail AH. 2000. Femtochemistry: atomic-scale dynamics of the chemical bond. J. Phys. Chem. A 104:5660-94
3. Stohr J. 1996. NEXAFS Spectroscopy. New York: Springer
4. de Groot F, Kotani A. 2008. Core Level Spectroscopy of Solids. Boca Raton, FL: CRC
5. Santra R. 2009. Concepts in X-ray physics. J. Phys. B 42:023001
6. Chen LX, Jger WJH, Jennings G, Gosztola DJ, Munkholm A, Hessler JP. 2001. Capturing a photoexcited molecular structure through time-domain X-ray absorption fine structure. Science 292:262-64
7. Rehr JJ, Albers RC. 2000. Theoretical approaches to X-ray absorption fine structure. Rev. Mod. Phys. 72:621-54
8. Bressler C, Chergui M. 2004. Ultrafast X-ray absorption spectroscopy. Chem. Rev. 104:1781-812
9. Ullrich J, Rudenko A,Moshammer R. 2012. Free-electron lasers: new avenues in molecular physics and photochemistry. Annu. Rev. Phys. Chem. 63:635-60
10. Gallmann L, Cirelli C, Keller U. 2012. Attosecond science: recent highlights and future trends. Annu. Rev. Phys. Chem. 63:447-69
11. Röntgen WC. 1895. On a new kind of rays. Transl. A Stanton, 1896, Nature 53:274-76
12. Duguay MA, Rentzepis PM. 1967. Some approaches to vacuum UV and X-ray lasers. Appl. Phys. Lett. 10:350-52
13. PerlmanML, Watson RE, Rowe EM. 1974. Synchrotron radiation: light fantastic. Phys. Today 27:30-37
14. Duke P. 2009. Synchrotron Radiation: Production and Properties. New York: Oxford Univ. Press
15. Emma P, Akre R, Arthur J, Bionta R, Bostedt C, et al. 2010. First lasing and operation of an angstrom-wavelength free-electron laser. Nat. Photonics 4:641-47
16. Nugent KA. 2010. Coherent methods in the X-ray sciences. Adv. Phys. 59:1-99
17. Reiter F, Graf U, Serebryannikov EE, Schweinberger W, Fiess M, et al. 2010. Route to attosecond nonlinear spectroscopy. Phys. Rev. Lett. 105:243902
18. Kapteyn H, Cohen O, Christov I, Murnane M. 2007. Harnessing attosecond science in the quest for coherent X-rays. Science 317:775-78
19. Krausz F, Ivanov M. 2009. Attosecond physics. Rev. Mod. Phys. 81:163-234
20. WörnerHJ, Corkum PB. 2011. Attosecond spectroscopy. In Handbook of High-Resolution Spectroscopy, ed. M Quack, F Merkt, pp. 1781-803. New York: Wiley
21. HentschelM, Kienberger R, Spielmann C, Reider GA, Milosevic N, et al. 2001. Attosecond metrology. Nature 414:509-13
22. Popmintchev T, ChenM, Arpin P, Murnane MM, Kapteyn HC. 2010. The attosecond nonlinear optics of bright coherent X-ray generation. Nat. Photonics 4:822-32
23. Popmintchev T, Chen M, Popmintchev D, Arpin P, Brown S, et al. 2012. Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers. Science 336:1287-91
24. Bourzac K. 2012. Tabletop X-rays light up. Nature 486:172
25. Goulielmakis E, Schultze M, Hofstetter M, Yakovlev VS, Gagnon J, et al. 2008. Single-cycle nonlinear optics. Science 320:1614-17
26. Bucksbaum PH, Coffee R, Berrah N. 2011. The first atomic and molecular experiments at the Linac Coherent Light Source X-ray free electron laser. In Advances in Atomic,Molecular, and Optical Physics, ed. E Arimondo, PR Berman, CC Lin, 60:239-89. New York: Elsevier
27. Walmsley IA, Dorrer C. 2009. Characterization of ultrashort electromagnetic pulses. Adv. Opt. Photonics 1:308-437
28. Adams B. 2003. Nonlinear Optics, Quantum Optics, and Ultrafast Phenomena with X-Rays. New York: Springer
29. Mukamel S. 1995. Principles of Nonlinear Optical Spectroscopy. New York: Oxford Univ. Press
30. Mukamel S, Tanimura Y, Hamm P, eds. 2009. Special issue on coherent multidimensional optical spectroscopy. Acc. Chem. Res. 42:1207-469
31. Eisenberger P, McCall SL. 1971. X-ray parametric conversion. Phys. Rev. Lett. 26:684-88
32. Yoda Y, Suzuki T, Zhang X,Hirano K, Kikuta S. 1998. X-ray parametric scattering by a diamond crystal. J. Synchrotron Radiat. 5:980-82
33. AdamsB,Fernandez P, LeeWK, Materlik G, MillsDM,NovikovDV.2000. Parametric down conversion of X-ray photons. J. Synchrotron Radiat. 7:81-88
34. Nazarkin A, Podorov S, Uschmann I, Förster E, Sauerbrey R. 2003. Nonlinear optics in the angstrom regime: hard X-ray frequency doubling in perfect crystals. Phys. Rev. A 67:041804
35. Bannett Y, Freund I. 1982. Two-photon X-ray emission from inner-shell transitions. Phys. Rev. Lett. 49:539-42
36. Tamasaku K, Sawada K, Nishibori E, IshikawaT. 2011. Visualizing the local optical response to extremeultraviolet radiation with a resolution of λ/380. Nat. Photonics 7:705-8
37. Freund I, Levine BF. 1969. Parametric conversion of X-rays. Phys. Rev. Lett. 23:854-57
38. Freund I. 1972. Nonlinear X-ray spectroscopy. Opt. Commun. 6:421-23
39. Arya K, Jha SS. 1974. Microscopic optical fields and mixing coefficients of X-ray and optical frequencies in solids. Pramana 2:116-25
40. Hudis E, Shkolnikov PL, Kaplan AE. 1994. X-ray stimulated Raman scattering in Li and He. Appl. Phys. Lett. 64:818-20
41. Freund I, Levine BF. 1973. Surface effects in the nonlinear interaction of X-ray and optical fields. Phys. Rev. B 8:3059-60
42. Anderson T, Tomov IV, Rentzepis PM. 1993. A high repetition rate picosecond hard X-ray system and its application to time-resolved X-ray diffraction. J. Chem. Phys. 99:869-75
43. Bargheer M, Zhavoronkov N, Gritsai Y, Woo JC, Kim DS, et al. 2004. Coherent atomic motions in a nanostructure studied by femtosecond X-ray diffraction. Science 306:1771-73
44. Elsaesser T,Woerner M. 2012. Transient charge density maps from femtosecond X-ray diffraction. In Modern Charge-Density Analysis, ed. C Gatti, P Macchi, pp. 697-714. New York: Springer
45. Deisenhofer J, Epp O, Miki K, Huber R, Michel H. 1985. Structure of the protein subunits in the photosynthetic reaction centre of Rhodopseudomonas viridis at 3 ̊A resolution. Nature 318:618-24
46. Chapman HN, Fromme P, Barty A, White TA, Kirian RA, et al. 2011. Femtosecond X-ray protein nanocrystallography. Nature 470:73-77
47. Freund I, Levine BF. 1970. Optically modulated X-ray diffraction. Phys. Rev. Lett. 25:1241-45
48. Eisenberger PM, McCall SL. 1971. Mixing of X-ray and optical photons. Phys. Rev. A 3:1145-51
49. WooJWF, Jha SS. 1972. Inelastic scattering of X-rays from optically induced charge-density oscillations. Phys. Rev. B 6:4081-82
50. Freund I. 1972. Nonlinear X-ray diffraction: determination of valence electron charge distributions. Chem. Phys. Lett. 12:583-88
51. Lindenberg AM, Kang I, Johnson SL, Missalla T, Heimann PA, et al. 2000. Time-resolved X-ray diffraction from coherent phonons during a laser-induced phase transition. Phys. Rev. Lett. 84:111-14
52. Cavalleri A, Wall S, Simpson C, Statz E, Ward DW, et al. 2006. Tracking the motion of charges in a terahertz light field by femtosecond X-ray diffraction. Nature 442:664-66
53. Chen J, Chen WK, Tang J, Rentzepis PM. 2011. Time-resolved structural dynamics of thin metal films heated with femtosecond optical pulses. Proc. Natl. Acad. Sci. USA 108:18887-92
54. Breidbach J, Cederbaum LS. 2005. Universal attosecond response to the removal of an electron. Phys. Rev. Lett. 94:033901
55. Young L, Kanter EP, Krssig B, Li Y,March AM, et al. 2010. Femtosecond electronic response of atoms to ultra-intense X-rays. Nature 466:56-61
56. Doumy G, Roedig C, Son S, Blaga CI, DiChiara AD, et al. 2011. Nonlinear atomic response to intense ultrashort X-rays. Phys. Rev. Lett. 106:083002
57. Fang L, HoenerM, Gessner O, Tarantelli F, Pratt ST, et al. 2010. Double core-hole production in N2: beating the Auger clock. Phys. Rev. Lett. 105:083005
58. Hoener M, Fang L, KornilovO,Gessner O, Pratt ST, et al. 2010. Ultraintense X-ray induced ionization, dissociation, and frustrated absorption in molecular nitrogen. Phys. Rev. Lett. 104:253002
59. Cryan JP, Glownia JM, Andreasson J, Belkacem A, Berrah N, et al. 2010. Auger electron angular distribution of double core-hole states in the molecular reference frame. Phys. Rev. Lett. 105:083004
60. Glownia JM, Cryan J, Andreasson J, Belkacem A, Berrah N, et al. 2010. Time-resolved pump-probe experiments at the LCLS. Opt. Express 18:17620-30
61. Drescher M, HentschelM, Kienberger R, Uiberacker M, Yakovlev V, et al. 2002. Time-resolved atomic inner-shell spectroscopy. Nature 419:803-7
62. Goulielmakis E, Loh Z, Wirth A, Santra R, Rohringer N, et al. 2010. Real-time observation of valence electron motion. Nature 466:739-43
63. Li W, Zhou X, Lock R, Patchkovskii S, Stolow A, et al. 2008. Time-resolved dynamics in N2O4 probed using high harmonic generation. Science 322:1207-11
64. Li W, Jaro-Becker AA, Hogle CW, Sharma V, Zhou X, et al. 2010. Visualizing electron rearrangement in space and time during the transition from amolecule to atoms. Proc.Natl. Acad. Sci. USA 107:20219-22
65. Zhou X, Ranitovic P, Hogle CW, Eland JHD, Kapteyn HC,Murnane MM. 2012. Probing and controlling non-Born-Oppenheimer dynamics in highly excited molecular ions. Nat. Phys. 8:232-37
66. Zhou X, Lock R, LiW,Wagner N, Murnane MM, Kapteyn HC. 2008. Molecular recollision interferometry in high harmonic generation. Phys. Rev. Lett. 100:073902
67. Buth C, Santra R, Young L. 2007. Electromagnetically induced transparency for X-rays. Phys. Rev. Lett. 98:253001
68. Rohlsberger R, Wille H, Schlage K, Sahoo B. 2012. Electromagnetically induced transparency with resonant nuclei in a cavity. Nature 482:199-203
69. Gadzuk JW. 1987. Core level spectroscopy: A dynamics perspective. Phys. Scr. 35:171-80
70. Rohringer N, Santra R. 2007. X-ray nonlinear optical processes using a self-amplified spontaneous emission free-electron laser. Phys. Rev. A 76:033416
71. Rentzepis PM. 1968. Direct measurements of radiationless transitions in liquids. Chem. Phys. Lett. 2:117- 20
72. Eckhardt G, Hellwarth RW, McClung FJ, Schwarz SE, Weiner D, Woodbury EJ. 1962. Stimulated Raman scattering from organic liquids. Phys. Rev. Lett. 9:455-57
73. Penzkofer A, Laubereau A, Kaiser W. 1979. High intensity Raman interactions. Prog. Quantum Electron. 6:55-140
74. Glatzel P, Bergmann U, Yano J, Visser H, Robblee JH, et al. 2004. The electronic structure of Mn in oxides, coordination complexes, and the oxygen-evolving complex of photosystem II studied by resonant inelastic X-ray scattering. J. Am. Chem. Soc. 126:9946-59
75. Champion P, Ziegler L, eds. 2010. XXII International Conference on Raman Spectroscopy (ICORS 2010). College Park, MD: Am. Inst. Phys.
76. Gel'mukhanov F, Å gren H. 1999. Resonant X-ray Raman scattering. Phys. Rep. 312:87-330
77. Nordgren J, Bray G, Cramm S, Nyholm R, Rubensson J, Wassdahl N. 1989. Soft X-ray emission spectroscopy using monochromatized synchrotron radiation. Rev. Sci. Instrum. 60:1690-96
78. Ament L, van Veenendaal M, Devereaux T, Hill J, van den Brink J. 2011. Resonant inelastic X-ray scattering studies of elementary excitations. Rev. Mod. Phys. 83:705-67
79. Roslyak O, Mukamel S. 2010. Spontaneous and stimulated coherent and incoherent nonlinear wave-mixing and hyper-Raleigh scattering. Lectures of Virtual University on Lasers. http://www. mitr.p.lodz.pl/evu/lectures/mukamel. pdf
80. Cook DB. 2005. Handbook of Computational Quantum Chemistry. New York: Dover
81. Tretiak S, Mukamel S. 2002. Density matrix analysis and simulation of electronic excitations in conjugated and aggregated molecules. Chem. Rev. 102:3171-212
82. Nozíres P, Dominicis CTD. 1969. Singularities in the X-ray absorption and emission of metals. III. One-body theory exact solution. Phys. Rev. 178:1097-107
83. Nozíres P, Gavoret J, Roulet B. 1969. Singularities in the X-ray absorption and emission of metals. II. Self-consistent treatment of divergences. Phys. Rev. 178:1084-96
84. Roulet B, Gavoret J, Nozíres P. 1969. Singularities in the X-ray absorption and emission of metals. I. First-order Parquet calculation. Phys. Rev. 178:1072-83
85. Langreth DC. 1970. Singularities in the X-ray spectra of metals. Phys. Rev. B 1:471-77
86. Mahan GD. 1967. Excitons in metals: infinite hole mass. Phys. Rev. 163:612-17
87. Campbell L, Hedin L, Rehr JJ, Bardyszewski W. 2002. Interference between extrinsic and intrinsic losses in X-ray absorption fine structure. Phys. Rev. B 65:064107
88. Heyl M, Kehrein S. 2012. X-ray edge singularity in optical spectra of quantum dots. Phys. Rev. B 85:155413
89. Mukamel S. 2005. Multiple core-hole coherence in X-ray four-wave-mixing spectroscopies. Phys. Rev. B 72:235110
90. Roslyak O, Bennett KC, Mukamel S. 2012. Submitted manuscript
91. Dhar L, Rogers JA, Nelson KA. 1994. Time-resolved vibrational spectroscopy in the impulsive limit. Chem. Rev. 94:157-93
92. Tanimura Y, Mukamel S. 1993. Two-dimensional femtosecond vibrational spectroscopy of liquids. J. Chem. Phys. 99:9496-503
93. Blank DA, Kaufman LJ, Fleming GR. 2000. Direct fifth-order electronically nonresonant Raman scattering from CS2 at room temperature. J. Chem. Phys. 113:771-78
94. Kubarych KJ, Milne CJ, Lin S, Astinov V, Miller RJD. 2002. Diffractive optics-based six-wave mixing: heterodyne detection of the full ξ (5) tensor of liquid CS2. J. Chem. Phys. 116:2016-42
95. Li YL, Huang L, Miller RJM, Hasegawa T, Tanimura Y. 2008. Two-dimensional fifth-order Raman spectroscopy of liquid formamide: experiment and theory. J. Chem. Phys. 128:234507
96. Zschornack GH. 2007. Handbook of X-Ray Data. New York: Springer
97. Krause MO, Oliver JH. 1979. Natural widths of atomic K and L levels, KαX-ray lines and several KLL Auger lines. J. Phys. Chem. Ref. Data 8:329-38
98. Patterson B. 2010. Resource letter on stimulated inelastic X-ray scattering at an XFEL. Tech. Rep., SLAC Natl. Accel. Lab., Menlo Park, CA. http://slac.stanford.edu/pubs/slactns/tn04/slac-tn-10-026.pdf
99. Zholents A, Penn G. 2010. Obtaining two attosecond pulses for X-ray stimulated Raman spectroscopy. Nucl. Instrum. Methods A 612:254-59
100. Zholents A. 2012. Next-generationX-ray free-electron lasers. IEEE J. Sel. Top. Quantum Electron. 18:248- 57
101. van den Brink J, van Veenendaal M. 2006. Correlation functions measured by indirect resonant inelastic X-ray scattering. Europhys. Lett. 73:121-27
102. Ma Y, Wassdahl N, Skytt P, Guo J, Nordgren J, et al. 1992. Soft-X-ray resonant inelastic scattering at the C K edge of diamond. Phys. Rev. Lett. 69:2598-601
103. Schuelke W. 2007. Electron Dynamics by Inelastic X-Ray Scattering. New York: Oxford Univ. Press
104. Abbamonte P,GraberT, Reed JP, Smadici S, YehC, et al. 2008. Dynamical reconstruction of the exciton in LiF with inelastic X-ray scattering. Proc. Natl. Acad. Sci. USA 105:12159-63
105. Abbamonte P, Finkelstein KD, Collins MD, Gruner SM. 2004. Imaging density disturbances in water with a 41.3-attosecond time resolution. Phys. Rev. Lett. 92:237401
106. Glatzel P, Bergmann U. 2005. High resolution 1s core hole X-ray spectroscopy in 3D transition metal complexes: electronic and structural information. Coordin. Chem. Rev. 249:65-95
107. Biggs JD, Zhang Y,HealionD,Mukamel S. 2012.Two-dimensional stimulated resonance Raman X-ray Raman signals. spectroscopy of molecules with broadband X-ray pulses. J. Chem. Phys. 136:174117
108. Tanaka S, Mukamel S. 2002. Coherent X-ray Raman spectroscopy: A nonlinear local probe for electronic excitations. Phys. Rev. Lett. 89:043001
109. Tanaka S, Mukamel S. 2003. Probing exciton dynamics using Raman resonances in femtosecond X-ray four-wave mixing. Phys. Rev. A 67:033818
110. Tanaka S, Volkov S, Mukamel S. 2003. Time-resolved X-ray Raman spectroscopy of photoexcited polydiacetylene oligomer: A simulation study. J. Chem. Phys. 118:3065-78
111. Mukamel S, Wang H. 2010. Manipulating quantum entanglement of quasiparticles in many-electron systems by attosecond X-ray pulses. Phys. Rev. A 81:062334
112. Rahav S, Roslyak O, Mukamel S. 2009. Manipulating stimulated coherent anti-Stokes Raman spectroscopy signals by broad-band and narrow-band pulses. J. Chem. Phys. 131:194510
113. Harbola U,Mukamel S. 2009. Coherent stimulated X-ray Raman spectroscopy: attosecond extension of resonant inelastic X-ray Raman scattering. Phys. Rev. B 79:085108
114. Schweigert IV, Mukamel S. 2007. Probing valence electronic wave-packet dynamics by all X-ray stimulated Raman spectroscopy: A simulation study. Phys. Rev. A 76:012504
115. Biggs JD, Voll JA, Mukamel S. 2012. Coherent nonlinear optical studies of elementary processes in biological complexes: diagrammatic techniques based on the wavefunction versus the density matrix. Philos. Trans. R. Soc. A 370:3709-27
116. Healion D, Zhang J, Biggs JD, Govind N, Mukamel S. 2012. Entangled valence electron-hole dynamics revealed by stimulated attosecond X-ray Raman scattering. J. Phys. Chem. Lett. 3:2326-31
117. Martin RL. 2003. Natural transition orbitals. J. Chem. Phys. 118:4775-77
118. Andrews DL, Thirunamachandran T. 1977. On three-dimensional rotational averages. J. Phys. Chem. 67:5026-33
119. Abramavicius D, Mukamel S. 2005. Coherent third-order spectroscopic probes of molecular chirality. J. Chem. Phys. 122:134305
120. Healion D, Biggs J, Mukamel S. 2012. Manipulating one- and two-dimensional stimulated-X-ray resonant-Raman signals in molecules by pulse polarizations. Phys. Rev. A 86:033429
121. Schweigert IV, Mukamel S. 2008. Probing interactions between core-electron transitions by ultrafast two-dimensional X-ray coherent correlation spectroscopy. J. Chem. Phys. 128:184307
122. Healion DM, Schweigert IV,Mukamel S. 2008. Probing multiple core-hole interactions in the nitrogen K-edge of DNA base pairs by multidimensional attosecond X-ray spectroscopy: A simulation study. J. Phys. Chem. A 112:11449-61
123. Ernst R, Bodenhausen G, Wokaun A. 1987. Principles of Nuclear Magnetic Resonance in One and Two Dimensions. Oxford, UK: Clarendon
124. Zhang Y, Biggs JD, Healion D, Govind N, Mukamel S. 2012. Core and valence excitations in resonant X-ray spectroscopy using restricted excitation window time-dependent density functional theory (REWTDDFT). J. Chem. Phys. 137:194306
125. Saln P, van der Meulen P, SchmidtHT, Thomas RD, LarssonM, et al. 2012. Experimental verification of the chemical sensitivity of two-site double core-hole states formed by an X-ray free-electron laser. Phys. Rev. Lett. 108:153003
126. Tashiro M, Ehara M, Fukuzawa H, Ueda K, Buth C, et al. 2010. Molecular double core hole electron spectroscopy for chemical analysis. J. Chem. Phys. 132:184302
127. Mukamel S, Oszwaldowski R, AbramaviciusD. 2007. Sum-over-states versus quasiparticle pictures of coherent correlation spectroscopy of excitons in semiconductors: femtosecond analogs of multidimensional NMR. Phys. Rev. B 75:245305
128. Schweigert IV, Mukamel S. 2008. Double-quantum-coherence attosecond X-ray spectroscopy of spatially separated, spectrally overlapping core-electron transitions. Phys. Rev. A 78:052509
129. Cervetto V, Helbing J, Bredenbeck J,HammP. 2004. Double-resonance versus pulsed Fourier transform two-dimensional infrared spectroscopy: an experimental and theoretical comparison. J. Chem. Phys. 121:5935-42
130. Zhuang W, AbramaviciusD,Mukamel S. 2005. Dissecting coherent vibrational spectra of small proteins into secondary structural elements by sensitivity analysis. Proc. Natl. Acad. Sci. USA 102:7443-48
131. Li Z, Abramavicius D,Mukamel S. 2008. Probing electron correlations in molecules by two-dimensional coherent optical spectroscopy. J. Am. Chem. Soc. 130:3509-15
132. Abramavicius D, Voronine DV, Mukamel S. 2008. Double-quantum resonances and exciton-scattering in coherent 2D spectroscopy of photosynthetic complexes. Proc. Natl. Acad. Sci. USA 105:8525-30
133. Mukamel S, Oszwaldowski R, Yang L. 2007. A coherent nonlinear optical signal induced by electron correlations. J. Chem. Phys. 127:221105
134. Dutoi AD, Cederbaum LS, Wormit M, Starcke JH, Dreuw A. 2010. Tracing molecular electronic excitation dynamics in real time and space. J. Chem. Phys. 132:144302
135. Moiseyev N. 2011. Non-Hermitian Quantum Mechanics. New York: Cambridge Univ. Press
136. Burke PG, Berrington KA. 1993. R-Matrix Theory of Atomic and Molecular Processes. Bristol: IOP
137. Whitenack DL,Wasserman A. 2011. Density functional resonance theory of unbound electronic systems. Phys. Rev. Lett. 107:163002
138. Tian P, Keusters D, Suzaki Y,WarrenWS. 2003. Femtosecond phase-coherent two-dimensional spectroscopy. Science 300:1553-55
139. Scheurer S, Mukamel S. 2001. Design strategies for pulse sequences in multidimensional optical spectroscopies. J. Chem. Phys. 115:4989-5004
140. Brinks D, Stefani FD, Kulzer F, Hildner R, Taminiau TH, et al. 2010. Visualizing and controlling vibrational wave packets of single molecules. Nature 465:905-8
141. Morita N, Yajima T. 1984. Ultrahigh-time-resolution coherent transient spectroscopy with incoherent light. Phys. Rev. A 30:2525-36
142. Beach R, Hartmann SR. 1984. Incoherent photon echoes. Phys. Rev. Lett. 53:663-66
143. Schlawin F, Dorfman KE, Fingurhut BF, Mukamel S. 2012. Manipulation of two-photon fluorescence spectra of chromophore aggregates with entangled photons: A simulation study. Phys. Rev. A 86:023851
144. Rahav S,Mukamel S. 2010. Multidimensional attosecond photoelectron spectroscopy with shaped pulses and quantum optical fields. Phys. Rev. A 81:063810
145. Shwartz S, Harris SE. 2011. Polarization entangled photons atX-ray energies. Phys. Rev. Lett. 106:080501
146. Richter M, Mukamel S. 2010. Ultrafast double-quantum-coherence spectroscopy of excitons with entangled photons. Phys. Rev. A 82:013820
147. Stolow A, Bragg AE, Neumark DM. 2004. Femtosecond time-resolved photoelectron spectroscopy. Chem. Rev. 104:1719-58
148. Stolow A. 2003. Femtosecond time-resolved photoelectron spectroscopy of polyatomicmolecules. Annu. Rev. Phys. Chem. 54:89-119
149. Oana CM, Krylov AI. 2009. Cross sections and photoelectron angular distributions in photodetachment from negative ions using equation-of-motion coupled-cluster Dyson orbitals. J. Chem. Phys. 131:124114
150. Hudock HR, Levine BG, Thompson AL, Satzger H, Townsend D, et al. 2007. Ab initio molecular dynamics and time-resolved photoelectron spectroscopy of electronically excited uracil and thymine. J. Phys. Chem. A 111:8500-8
151. Wollenhaupt M, Assion A, Baumert T. 2007. Femtosecond laser pulses: linear properties, manipulation, generation and measurement. In Springer Handbook of Lasers and Optics, ed. F Trger, pp. 937-83. New York: Springer
152. Wilson KC, Lyons B,Mehlenbacher R, Sabatini R, McCamant DW. 2009. Two-dimensional femtosecond stimulated Raman spectroscopy: observation of cascading Raman signals in acetonitrile. J. Chem. Phys. 131:214502
153. Rai N, Lakshmanna A, Namboodiri V, Umapathy S. 2012. Basic principles of ultrafast Raman loss spectroscopy. J. Chem. Sci. 124:177-86
154. Brodard P, Matzinger S, Vauthey E, Mongin O, Papamical C, Gossauer A. 1999. Investigations of electronic energy transfer dynamics in multiporphyrin arrays. J. Phys. Chem. A 103:5858-70
155. Banerji N, Bhosale SV, Petkova I, Langford SJ, Vauthey E. 2011. Ultrafast excited-state dynamics of strongly coupled porphyrin/core-substituted- naphthalenediimide dyads. Phys. Chem. Chem. Phys. 13:1019-29
156. Mukamel S. 2009. Controlling multidimensional off-resonant Raman and infrared vibrational spectroscopy by finite pulse band shapes. J. Chem. Phys. 130:054110