We investigate the harmonic emission from bichromatic periodic potential by numerically solving the timedependent Schro¨dinger equation in the velocity gauge. The results show that the harmonic minimum is sensiti...We investigate the harmonic emission from bichromatic periodic potential by numerically solving the timedependent Schro¨dinger equation in the velocity gauge. The results show that the harmonic minimum is sensitive to the wavelength. Moreover, distinct crystal momentum states contribute differently to harmonic generation. In momentum space, the electron dynamics reveal a close relationship between the spectral minimum and the electron distribution in higher conduction bands. Additionally, by introducing an ultraviolet pulse to the fundamental laser field, the suppression of the harmonic minimum occurs as a result of heightened electron populations in higher conduction bands. This work sheds light on the harmonic emission originating from a solid with a two-atom basis.展开更多
The dependence of harmonic emission from a solid on the carrier envelope phase (CEP) is discussed by numerically solving the time-dependent Schr?dinger equation. The harmonic spectra periodically exhibit three distinc...The dependence of harmonic emission from a solid on the carrier envelope phase (CEP) is discussed by numerically solving the time-dependent Schr?dinger equation. The harmonic spectra periodically exhibit three distinct oscillating structures, which indicate the different dependences of the cutoff energies on the CEP. Furthermore,with time-dependent population imaging and the populations of different energy bands, the underlying physical mechanism is explored.展开更多
Controlling paths of high-order harmonic generation from H^2+ is theoretically investigated by numerically solving the time-dependent Schrodinger equation based on the Born-Oppenheimer approximation in orthogonal two-...Controlling paths of high-order harmonic generation from H^2+ is theoretically investigated by numerically solving the time-dependent Schrodinger equation based on the Born-Oppenheimer approximation in orthogonal two-color fields.Our simulations show that the change of harmonic emission paths is dependent on time-dependent distribution of electrons.Compared with one-dimensional linearly polarized long wavelength laser,multiple returns are suppressed and short paths are dominant in the process of harmonic emission by two-dimensional orthogonal ω/2ω laser fields.Furthermore,not only are multiple returns weaken,but also the harmonic emission varies from twice to once in an optical cycle by orthogonalω/1.5ωlaser fields.Combining the time-frequency distributions and the time-dependent electron wave packets probability density,the mechanism of controlling paths is further explained.As a result,a 68-as isolated attosecond pulse is obtained by superposing a proper range of the harmonics.展开更多
The high-order harmonic generation from an asymmetric molecular ion is theoretically investigated based on the Born-Oppenheimer model with two-dimensional electron dynamics.It is shown that the harmonic intensity chan...The high-order harmonic generation from an asymmetric molecular ion is theoretically investigated based on the Born-Oppenheimer model with two-dimensional electron dynamics.It is shown that the harmonic intensity changes periodically in elliptically polarized laser fields.The periodical character is ellipticity-dependent.By establishing the physical image,the periodicity of the harmonic intensity can be ascribed to the contributions of the ground state and the excited state.Furthermore,the electron dynamics from different electronic states can be selected via combining the elliptically polarized laser field with a static electric field.The harmonics dominated either by ground state or excited state are emitted once in an optical cycle in the combined laser field.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos. 11974229, 12204291, and 11404204)the Scientific and Technological Innovation Program of Higher Education Institutions in Shanxi, China (Grant No. 2021L255)。
文摘We investigate the harmonic emission from bichromatic periodic potential by numerically solving the timedependent Schro¨dinger equation in the velocity gauge. The results show that the harmonic minimum is sensitive to the wavelength. Moreover, distinct crystal momentum states contribute differently to harmonic generation. In momentum space, the electron dynamics reveal a close relationship between the spectral minimum and the electron distribution in higher conduction bands. Additionally, by introducing an ultraviolet pulse to the fundamental laser field, the suppression of the harmonic minimum occurs as a result of heightened electron populations in higher conduction bands. This work sheds light on the harmonic emission originating from a solid with a two-atom basis.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11404204 and 11504221the Program for the Top Young Academic Leaders of Higher Learning Institutions of Shanxi Province+1 种基金the Natural Science Foundation for Young Scientists of Shanxi Normal University under Grant No ZR1805the Project for Graduate Research Innovation of Shanxi Normal University
文摘The dependence of harmonic emission from a solid on the carrier envelope phase (CEP) is discussed by numerically solving the time-dependent Schr?dinger equation. The harmonic spectra periodically exhibit three distinct oscillating structures, which indicate the different dependences of the cutoff energies on the CEP. Furthermore,with time-dependent population imaging and the populations of different energy bands, the underlying physical mechanism is explored.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11974229,11404204,and 11947002)the Scientific and Technological Innovation Program of Higher Education Institutions in Shanxi Province,China(Grant No.2019L0468)+1 种基金the Natural Science Foundation for Young Scientists of Shanxi Province,China(Grant No.201901D211404)the Innovation Project for Postgraduates of Shanxi Province,China(Grant No.2019SY310)。
文摘Controlling paths of high-order harmonic generation from H^2+ is theoretically investigated by numerically solving the time-dependent Schrodinger equation based on the Born-Oppenheimer approximation in orthogonal two-color fields.Our simulations show that the change of harmonic emission paths is dependent on time-dependent distribution of electrons.Compared with one-dimensional linearly polarized long wavelength laser,multiple returns are suppressed and short paths are dominant in the process of harmonic emission by two-dimensional orthogonal ω/2ω laser fields.Furthermore,not only are multiple returns weaken,but also the harmonic emission varies from twice to once in an optical cycle by orthogonalω/1.5ωlaser fields.Combining the time-frequency distributions and the time-dependent electron wave packets probability density,the mechanism of controlling paths is further explained.As a result,a 68-as isolated attosecond pulse is obtained by superposing a proper range of the harmonics.
基金supported by the National Natural Science Foundation of China(Grant Nos.11974229,11404204,and 11947002)the Scientific and Technological Innovation Program of Higher Education Institutions in Shanxi,China(Grant No.2021L255)。
文摘The high-order harmonic generation from an asymmetric molecular ion is theoretically investigated based on the Born-Oppenheimer model with two-dimensional electron dynamics.It is shown that the harmonic intensity changes periodically in elliptically polarized laser fields.The periodical character is ellipticity-dependent.By establishing the physical image,the periodicity of the harmonic intensity can be ascribed to the contributions of the ground state and the excited state.Furthermore,the electron dynamics from different electronic states can be selected via combining the elliptically polarized laser field with a static electric field.The harmonics dominated either by ground state or excited state are emitted once in an optical cycle in the combined laser field.