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A Coherent Raman Oscillator Pumped by a Frequency Comb

Igal Aharonovich, Avi Pe

Published Mar 18, 2014• 0 citations
OpenAlex

Abstract

Free induction decay is the coherent emission of light that follows the excitation of a medium by a short pulse. During the coherence time of the medium (T2), all atoms/molecules oscillate ’in unison’, forming a macroscopic dipole that emits light as a large coherent antenna, ’broadcasting’ information on the quantum state of the atoms/molecules and its dynamical evolution. We present an optical oscillator, where the coherent dipole emission from a dynamical wave-packet, is amplified beyond the lasing threshold. By placing a molecular medium in an optical cavity that is synchronously pumped by a frequency comb laser, emission from the excitation of one pump pulse can return to the medium with subsequent pump pulses, allowing stimulated amplification. When threshold is crossed, a broadband coherent oscillation is achieved, bearing information on the coherent wave-packet dynamics inside the medium. We analyze theoretically this coherent Raman oscillator and simulate thoroughly it’s dynamics under most realistic conditions for a model system of Alkali dimers (Li2,K2) in a hot gas cell (100−300 ◦ C), showing that the oscillation condition is well within reach. If realized, this coherent Raman oscillator can open avenues for precise measurement of vibrational dynamics in molecules.

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•Jan 1, 2015•0 citations
Free induction decay is the coherent emission of light that follows the excitation of a medium by a short pulse. During the coherence time of the medium (T2), all atoms/molecules oscillate ’in unison’, forming a macroscopic dipole that emits light as a large coherent antenna, ’broadcasting’ information on the quantum state of the atoms/molecules and its dynamical evolution. We present an optical oscillator, where the coherent dipole emission from a dynamical wave-packet, is amplified beyond the lasing threshold. By placing a molecular medium in an optical cavity that is synchronously pumped by a frequency comb laser, emission from the excitation of one pump pulse can return to the medium with subsequent pump pulses, allowing stimulated amplification. When threshold is crossed, a broadband coherent oscillation is achieved, bearing information on the coherent wave-packet dynamics inside the medium. We analyze theoretically this coherent Raman oscillator and simulate thoroughly it’s dynamics under most realistic conditions for a model system of Alkali dimers (Li2,K2) in a hot gas cell (100−300 ◦ C), showing that the oscillation condition is well within reach. If realized, this coherent Raman oscillator can open avenues for precise measurement of vibrational dynamics in molecules.
Optical oscillators present a powerful optimization mechanism. The inherent competition for the gain resources between possible modes of oscillation entails the prevalence of the most efficient single mode. We harness this "ultrafast" coherent feedback to optimize an optical field in time, and show that, when an optical oscillator based on a molecular gain medium is synchronously pumped by ultrashort pulses, a temporally coherent multimode field can develop that optimally dumps a general, dynamically evolving vibrational wave packet, into a single vibrational target state. Measuring the emitted field opens a new window to visualization and control of fast molecular dynamics. The realization of such a coherent oscillator with hot alkali dimers appears within experimental reach.
A model of two-level weakly interacting quantum systems is used to demonstrate that the phase of molecular vibrations excited through stimulated Raman scattering can be controlled by the relative phase of time-separated laser pulses, allowing synchronization and amplitude control of coherence excitation in a medium. For transients with a phase relaxation time less than the field cycle, the field half-cycle can serve as a subfemtosecond probe of coherent vibrations. In this regime, the high-frequency field-induced modulation of molecular dipole moments gives rise to a detectable modulation of the optical response of a medium at the frequency $2\ensuremath{\omega}$, $\ensuremath{\omega}$ being the frequency of the laser field.
Coherent excitation of a molecular ensemble coupled to a common radiation mode can lead to the collective emission of radiation known as superradiance. This collective emission only occurs if there is an entanglement between the molecules in their ground and excited state and can, therefore, serve as a macroscopic measure of coherence in the ensemble. Reported here are wave packet propagations for various pyrazine models of increasing complexity and molecular ensembles thereof. We show that ensemble coherence upon photoexcitation can prevail up to relatively long time scales although the effect can diminish quickly with increasing ensemble size. Coherence can also build up over time and even reemerge after the molecules have passed through a conical intersection. The effect of the pump pulse characteristics on the collective response of the molecular ensemble is also studied. A broadband pulse imprints a large amount of initial coherence to the system, as compared to a longer pulse with a smaller spread in the frequency domain. However, the differential effects arising from a different pulse duration and coherent bandwidth become less prominent if the emission of light from the ensemble takes place after a non-adiabatic decay process.
Photoassociation is a process by which two cold, trapped atoms can be optically excited during a collision to make a vibrational level of an excited electronic state of a molecular dimer. High-resolution photoassociation spectra are now well-known for most alkali dimers. The upper level normally decays by spontaneous emission to a number of final molecular levels, bound and unbound. A laser of a second color can be used to stimulate a transition from the upper level to a particular ground state vibrational level. Such a Raman photoassociation process can be used to form translationally cold molecules in a cold atomic gas or a Bose-Einstein condensate. Coupled channels scattering calculations show that the collisional rate coefficient for coherent production of molecules in specific target states, >10−10cm3/s,> 10^{-10} cm^{3}/s,>10−10cm3/s, can greatly exceed the rate coefficient for forming products due to excited state spontaneous decay. This implies the feasibility of rapid coherent conversion of atom pairs in a condensate to molecules on a time scale short compared to the trap oscillation time. The untrapped molecules can form a coherent molecular beam. We will examine the prospects for the experimental realization of photoassociative molecule formation in cold alkali gases or condensates.
We study the light evolution through a Raman-active medium, where a pair of fields pump molecules near-resonantly and excite the molecular coherence. A synthetic lattice including multiple frequency sidebands via the coherent Raman process is constructed. By varying the density of molecules in the light propagation direction, the system can present a lattice model undergoing dynamic modulations. Further considering the frequency-dependent couplings between synthetic lattice sites, we explore intriguing phenomena, including spectral Bloch oscillation and super Bloch oscillation with asymmetric patterns, which leads to interesting frequency-conversion phenomena with the Raman sideband generations. Our work could be useful for future experiments in coherent Raman sideband processes towards ultrashort pulse generations and higher-frequency conversion.
Wave-mechanical phenomena such as resonance and interference, in both light and matter, are central to the principles of quantum coherent control over molecular processes. Focusing on the dynamical aspects, this dissertation is a compilation of studies on the interaction physics involving wave packets in molecules, the driving light field, and the underlying coherence and control. In each work, we will demonstrate interesting correlations between the properties of a carefully designed excitation light field and desirable outcomes of the molecules quantum dynamics. We will analyze the dynamical effect of a Feshbach resonance in the adiabatic Raman photoassociation for ultracold diatomic molecule formation from ultracold atoms. A narrow resonance is shown to be able to increase the effective number of collisions, in an ultracold atomic gas, that are available for photoassociation. This results in an optimal resonance width much smaller than the atomic collision energy bandwidth, due to the balance between the effective collision rate and single-collision transfer probability. Next, we demonstrate the linear molecular response to high-intensity, broadband, shaped optical fields. We show that this originates from interferences based on intra-pulse Raman excitations, and thus response linearity is not unique to the first-order perturbative limit and can not be used to infer the strength of the field. In the last study, we simulate the stochastic vibrational wave packet and dissociation-flux dynamics in a molecule excited by light with temporal and spectral incoherent properties. Between this case and that using a coherent pulse with the same spectral profile, we compare the vibrational wave functions and the loss of electronic and vibrational coherence, and demonstrate the qualitative difference between coherently and incoherently driven dynamics in molecules.