TY - JOUR AU - Emilio Pisanty AU - Laura Rego AU - Julio San Román AU - Antonio Picón AU - Kevin Dorney AU - Henry Kapteyn AU - Margaret Murnane AU - Luis Plaja AU - Maciej Lewenstein AU - Carlos Hernández-García AB - High-order harmonic generation stands as a unique nonlinear optical up-conversion process, mediated by a laser-driven electron recollision mechanism, which has been shown to conserve energy, linear momentum, and spin and orbital angular momentum. Here, we present theoretical simulations that demonstrate that this process also conserves a mixture of the latter, the torus-knot angular momentum Jy, by producing high-order harmonics with driving pulses that are invariant under coordinated rotations. We demonstrate that the charge Jy of the emitted harmonics scales linearly with the harmonic order, and that this conservation law is imprinted onto the polarization distribution of the emitted spiral of attosecond pulses. We also demonstrate how the nonperturbative physics of high-order harmonic generation affect the torus-knot angular momentum of the harmonics, and we show that this configuration harnesses the spin selection rules to channel the full yield of each harmonic into a single mode of controllable orbital angular momentum. BT - Phys. Rev. Lett. DA - 2019-05 DO - 10.1103/PhysRevLett.122.203201 N2 - High-order harmonic generation stands as a unique nonlinear optical up-conversion process, mediated by a laser-driven electron recollision mechanism, which has been shown to conserve energy, linear momentum, and spin and orbital angular momentum. Here, we present theoretical simulations that demonstrate that this process also conserves a mixture of the latter, the torus-knot angular momentum Jy, by producing high-order harmonics with driving pulses that are invariant under coordinated rotations. We demonstrate that the charge Jy of the emitted harmonics scales linearly with the harmonic order, and that this conservation law is imprinted onto the polarization distribution of the emitted spiral of attosecond pulses. We also demonstrate how the nonperturbative physics of high-order harmonic generation affect the torus-knot angular momentum of the harmonics, and we show that this configuration harnesses the spin selection rules to channel the full yield of each harmonic into a single mode of controllable orbital angular momentum. PB - American Physical Society PY - 2019 EP - 203201 T2 - Phys. Rev. Lett. TI - Conservation of Torus-knot Angular Momentum in High-order Harmonic Generation UR - https://link.aps.org/doi/10.1103/PhysRevLett.122.203201 VL - 122 ER -