Quantum process tomography of excitonic dimers from two-dimensional electronic spectroscopy. I. General theory and application to homodimers

Journal of Chemical Physics

Volumn 134, Issue 13, 2011, Pages

  Yuen Zhou, Joel ^a   Aspuru Guzik, Alán ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL PHYSICS; CONTROLLED EXPERIMENT; COUPLED DIMERS; ELECTRONIC SPECTRUM; EXCITONIC SYSTEMS; EXPERIMENTAL METHODS; FREQUENCY COMPONENTS; GENERAL THEORY; HETERODIMERS; HOMODIMERS; INPUT AND OUTPUTS; MODEL CALCULATIONS; MODEL SYSTEM; NUMERICAL RESULTS; OPEN QUANTUM SYSTEMS; PEAK AMPLITUDE; POPULATION TRANSFER; PROCESS MATRIX; PULSE-SHAPING; QUANTUM PROCESS TOMOGRAPHY; QUANTUM STATE; QUANTUM-INFORMATION PROCESSING; THEORETICAL STUDY; TRANSITION DIPOLE MOMENTS; TWO-DIMENSIONAL ELECTRONIC SPECTROSCOPIES; WAITING-TIME;

DATA PROCESSING; DIMERS; ENERGY TRANSFER; ERROR ANALYSIS; EXPERIMENTS; POLARIZATION; POPULATION STATISTICS; QUANTUM ELECTRONICS; TOMOGRAPHY; TWO DIMENSIONAL;

QUANTUM OPTICS;

EID: 79954538987     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3569694     Document Type: Article

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117. We label time with T instead of t because the QPT we propose is identified with the waiting time T of the PE experiment.
118. As a comment to our previous discussion, by linearity, these conditions must also be satisfied even if (0) is improper [notice that (T) does not depend on (0)].
119. Hereafter, we use the word polarization in two different ways: To denote (a) the orientation of oscillations of the electric field and (b) the density of electric dipole moments in a material. The meaning should be clear by the context.
120. PE(T, t) is collected for many and t points, and subsequently Fourier transformed along these dimensions. After processing the signal in this way, the errors due to the short time deviations will presumably be negligible, and the line shape will be dominated by the Gij() functional dependence. We note that these problems are not alien to our protocol but are generic concerns of any QPT with respect to errors of in the preparation and measurement stages.
121. The factor of i arises due to the phase shift relating the macroscopic polarization and the detected signal corresponding to the emitted electric field.
122. The fully dispersive and absorptive line shapes only show up after including the nonrephasing signal in the 2D-ES. See Ref. [] for more information on this issue.
123. These expressions were already displayed in Ref. [] without the background in this article.
124. An alternative to enhance the performance of the optimization routine is to exploit the absolute value of the 2D-ES. This possibility will be explored in future work.