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Physical Review Letters

Broadband Carrier-Envelope Phase-Controlled Stimulated Ultraviolet Emission from Carbon Dioxide Ions

Jingsong Gao, Hao Liang, Ming-Shian Tsai, Ming-Chang Chen, Hans Jakob Wörner, Meng Han

Published Nov 24, 2025• 5 citations
Publisher

Abstract

A coherent broadband ultraviolet light source is essential for both fundamental research and industrial applications, yet its generation remains challenging. Here, we demonstrate microjoule-level ultraviolet emission spanning 300-450 nm from carbon dioxide ions (CO_{2}^{+}), driven by carrier-envelope-phase (CEP)-stabilized, near-single-cycle light pulses. The radiation arises from transitions between the first excited and ground cationic states, created by strong-field ionization with near-infrared pulses, and self-seeded by either self-phase modulation (SPM) or third-harmonic (TH) generation in the ultraviolet range. Interestingly, while TH-seeded stimulated emission is unaffected by CEP, SPM-seeded ultraviolet radiation shows strong CEP dependence. This arises from a Ramsey-type interference, where the relative phase between the SPM and the strong-field-prepared ionic polarization controls the constructive or destructive interference of the superposition between two ionic states, directly modulating the ionic dipole strength. Leveraging this CEP-sensitive lasing, we demonstrate a single-shot CEP tagging technique with remarkable resolution and simplicity. Our Letter establishes a powerful method for generating and controlling broadband ultraviolet stimulated emission in molecular ions using strong, waveform-stabilized ultrashort pulses, highlighting new possibilities in strong-field ionic quantum optics.

DOI
10.1103/tjwb-9wxl

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•Jan 1, 2017•1 citation
A coherent broadband ultraviolet light source is essential for both fundamental research and industrial applications, yet its generation remains challenging. Here, we demonstrate microjoule-level ultraviolet emission spanning 300-450 nm from carbon dioxide ions (CO_{2}^{+}), driven by carrier-envelope-phase (CEP)-stabilized, near-single-cycle light pulses. The radiation arises from transitions between the first excited and ground cationic states, created by strong-field ionization with near-infrared pulses, and self-seeded by either self-phase modulation (SPM) or third-harmonic (TH) generation in the ultraviolet range. Interestingly, while TH-seeded stimulated emission is unaffected by CEP, SPM-seeded ultraviolet radiation shows strong CEP dependence. This arises from a Ramsey-type interference, where the relative phase between the SPM and the strong-field-prepared ionic polarization controls the constructive or destructive interference of the superposition between two ionic states, directly modulating the ionic dipole strength. Leveraging this CEP-sensitive lasing, we demonstrate a single-shot CEP tagging technique with remarkable resolution and simplicity. Our Letter establishes a powerful method for generating and controlling broadband ultraviolet stimulated emission in molecular ions using strong, waveform-stabilized ultrashort pulses, highlighting new possibilities in strong-field ionic quantum optics.
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Abstract We report generation of spectrally bright vacuum ultraviolet (VUV) and deep UV (DUV) coherent radiations at the wavelengths of 192 nm, 198 nm and 204 nm. These DUV/VUV radiations originate from resonant four-wave mixing assisted by quantum coherence in tunnel-ionized CO molecules. The electronic coherence is created when the pump pulses resonantly excite electronic transitions of CO+. The technique allows for the selective switch of DUV/VUV wavelengths provided by the abundant energy levels of molecular ions. The developed source can have arbitrary polarization states by manipulating the polarization of the pump pulse. It also exhibits a spectral bandwidth of 5∼7 cm−1, a divergence angle of 3∼5 mrad, a pulse duration of ∼10 ps, and a photon flux of ∼1010 photons/s. The superior temporal and spectral properties give rise to a broadband Raman comb in the DUV/VUV region.
Shaped near-infrared (NIR) femtosecond pulses are used for the first time to control the generation of coherent deep-ultraviolet (UV) radiation in an atomic resonance-mediated (2+1) three-photon excitation. The broadband excitation coherently involves pathways that are on resonance with the intermediate resonance state as well as pathways that are near resonance with it. Experimental and theoretical results are presented for phase controlling the total emitted UV yield in atomic sodium. Depending on the NIR spectrum of the excitation pulse, the coherent UV emission is either predominantly due to a single excited real state that is accessed resonantly or due to a manifold of virtual states. The former leads to a narrowband UV emission, while the latter leads to a broadband UV radiation. Basic phase control is exercised in both cases, with excellent agreement between experiments and calculations. The tunability is over an order-of-magnitude UV-yield range.
Controlling electronic decoherence in molecules is an outstanding challenge in chemistry. Recent advances in the theory of electronic decoherence [B. Gu and I. Franco, J. Phys. Chem. Lett. 9, 773 (2018)] have demonstrated that it is possible to manipulate the rate of electronic coherence loss via control of the relative phase in the initial electronic superposition state. This control emerges when there are both relaxation and pure-dephasing channels for decoherence and applies to initially separable electron-nuclear states. In this paper, we demonstrate that (1) such an initial superposition state and the subsequent quantum control of electronic decoherence can be created via weak-field one-photon photoexcitation with few-cycle laser pulses of definite carrier envelope phase (CEP), provided the system is initially prepared in a separable electron-nuclear state. However, we also demonstrate that (2) when stationary molecular states (which are generally not separable) are considered, such one-photon laser control disappears. Remarkably, this happens even in situations in which the initially factorizable state is an excellent approximation to the stationary state with fidelity above 98.5%. The laser control that emerges for initially separable states is shown to arise because these states are superpositions of molecular eigenstates that open up CEP-controllable interference routes at the one-photon limit. Using these insights, we demonstrate that (3) the laser control of electronic decoherence from stationary states can be recovered by using a two-pulse control scheme, with the first pulse creating a vibronic superposition state and the second one inducing interference. This contribution advances a viable scheme for the laser control of electronic decoherence and exposes a surprising artifact that is introduced by widely used initially factorizable system-bath states in the field of open quantum systems.
Weak-field coherent phase control of atomic non-resonant multiphoton excitation induced by shaped femtosecond pulses is studied theoretically in the single-cycle regime. The carrier-envelope phase (CEP) of the pulse, which in the multi-cycle regime does not play any control role, is shown here to be a new effective control parameter that its effect is highly sensitive to the spectral position of the ultrabroad spectrum. Rationally chosen position of the ultrabroadband spectrum coherently induces several groups of multiphoton transitions from the ground state to the excited state of the system: transitions involving only absorbed photons as well as Raman transitions involving both absorbed and emitted photons. The intra-group interference is controlled by the relative spectral phase of the different frequency components of the pulse, while the inter-group interference is controlled jointly by the CEP and the relative spectral phase. Specifically, non-resonant two- and three-photon excitation is studied in a simple model system within the perturbative frequency-domain framework. The developed intuition is then applied to weak-field multiphoton excitation of atomic cesium (Cs), where the simplified model is verified by non-perturbative numerical solution of the time-dependent Schrödinger equation. We expect this work to serve as a basis for a new line of femtosecond coherent control experiments.
Extreme ultraviolet (XUV) light is a valuable frequency range for ultrafast optics experiments. The short wavelength is a requirement for ultrashort pulses, which are widely used to characterize fast dynamics. Additionally, the high photon energy enables quantum control of high frequency transitions in atoms. These transitions are of interest for ultrafast quantum control as the bandwidth of the control pulses needs to be less than the transition frequency. Presently, however, no good modulators exist for these frequencies, which significantly reduces the possible ultrafast optics experiments or applications in the XUV regime. This thesis addresses this problem and focuses on the control of XUV light in time and space. To enable control of XUV light a method is described which modulates the phase of XUV light emitted from a gas of noble atoms. The atoms are resonantly excited with a coherent XUV pulse generated through high order harmonic generation. After the excitation pulse has passed through the gas, the atoms will emit light in the absence of an external field, known as free induction. The phase of the emitted light is changed by shifting the resonance frequencies through the AC Stark shift with a non-resonant infrared control pulse. This phase-control of the emitting atoms also translates into a control of the phase of the emitted XUV field.With the method described in the previous paragraph, the direction of XUV light emitted from noble gases was controlled, and the temporal dynamics of the emission was studied. The redirection of the XUV emission, through the use of a spatially offset IR pulse, was found to change both with intensity of the control pulse and by changing the spatial offset between the pulses. By varying the delay between the excitation and the control pulse the time of redirection was controlled, which enabled high signal to noise study of the temporal dynamics of the emission. Furthermore, with two control pulses the emission was redirected twice, resulting in an XUV pulse shape with controlled duration emitted with a certain angle. Hopefully the presented work will result in more research into the development of this technique, to fully realize the possibility to shape the amplitude and phase of XUV pulses. Such a development would open the door for ultrafast XUV quantum control.