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Indian Journal of Physics

Quantum interferometry by using delayed phase-locked ultrashort pulses: implementation of quantum gate operation in molecules

Krishna Rai Dastidar

Published Aug 1, 2010• 3 citations
Publisher
DOI
10.1007/s12648-010-0089-9

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We have shown that electromagnetically induced transparency can be achieved by control-probe interferometry using two delayed phase-locked ultrashort pulses. Two vibrational wavepackets on the excited state, excited by two delayed phase-locked ultrashort pulses, interfere constructively or destructively leading to enhancement or suppression of absorption to a selective set of vibrational levels. Depending on the phase difference and the delay between the pulses with same carrier frequency, one can design different transparency windows between absorption peaks at consecutive even(odd) vibrational levels by eliminating absorption at odd(even) vibrational levels. We have shown that by switching the phase difference of two delayed femtosecond pulses, one can switch to complete elimination of absorption from enhanced absorption to a particular set of vibrational levels in the excited state. Thus, switching of transparency through window between odd vibrational levels to that between even vibrational levels is possible. By properly choosing the temporal width and the carrier frequency of the pulses, lossless transmission of complete or bands of frequencies of the pulses can be achieved through these transparency windows. Hence, designing of single- or multi-mode transparency windows in NaH molecule is feasible by control-probe quantum interferometry.
It has been shown that control over the design of single- or multimode-transparency windows can be achieved by control-probe quantum interferometry using two delayed phase-locked ultrashort pulses. We have investigated how single- or multimode-transparency windows can be designed by eliminating the absorption to a set of odd or even vibrational levels of a molecule covered by the spectral bandwidth of the pulses. Suppression of absorption can be achieved by controlling the quantum interference of two vibrational wave packets excited by these two pulses, leading to destructive interference of transition amplitudes for one set of vibrational levels even or odd. Simuntaneously the interference becomes constructive for the other set of odd or even vibrational levels, leading to absorption to these levels. Thus, a set of transparency windows is designed in between two absorption peaks at two consecutive odd (even) vibrational levels by eliminating absorption at even (odd) vibrational levels between two absorption peaks. If the spectral bandwidth of the pulse [full width at half maximum (FWHM)] is less than the energy difference between two consecutive absorption peaks, the pulse will be transmitted without absorption through the transparency window. However, for pulses with a larger spectral bandwidth (FWHM), a set of broad transparency windows will be generated and different bands of pulse frequencies will be transmitted through these windows. We have shown that coherent control of the design of transparency windows can be achieved by controlling pulse duration, carrier frequency, delay, and the phase difference of two ultrashort pulses.
We study wave packet interferometry (WPI) considering the laser pulse fields both classical and quantum mechanically. WPI occurs in a molecule after subjecting it to the interaction with a sequence of phase-locked ultrashort laser pulses. Typically, the measured quantity is the fluorescence of the molecule from an excited electronic state. This signal has imprinted the interference of the vibrational wave packets prepared by the different laser pulses of the sequence. The consideration of the pulses as quantum entities in the analysis allows us to study the entanglement of the laser pulse states with the molecular states. With a simple model for the molecular system, plus several justified approximations, we solve for the fully quantum mechanical molecule-electromagnetic field state. We then study the reduced density matrices of the molecule and the laser pulses separately. We calculate measurable corrections to the case where the fields are treated classically.