{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"critpt","formal_name":"CritPt","introduction":"CritPt evaluates scientific understanding and multi-step reasoning and computation on research-level physics problems. Its public dataset contains 70 challenges with problem descriptions and code templates.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://critpt.com/","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"4c319585-7cdc-51d0-a3dd-0ff3dff68989","task_key":"train--Challenge~5f4~5fmain","task_revision_id":"1","upstream_id":"Challenge_4_main","short_description":"High-harmonic generation (HHG) is a nonlinear optical process in which intense…","config":"","split":"train","body":"{\"code_template\":\"def answer():\\n    r\\\"\\\"\\\"\\n    Return the OAM and helicity of the 23rd harmonic order.\\n\\n    Inputs\\n    ----------\\n    None\\n\\n    Outputs\\n    ----------\\n    harmonic_23 : set[tuples[int, int]]\\n        A set of allowed combinations of OAM and helicity for the 23rd harmonic order, ($\\\\ell$, $\\\\sigma$).\\n    \\\"\\\"\\\"\\n\\n    # ------------------ FILL IN YOUR RESULTS BELOW ------------------\\n    harmonic_23 = ...\\n    # ---------------------------------------------------------------\\n\\n    return harmonic_23\",\"problem_description\":\"\\n\\n# Problem setup:\\nHigh-harmonic generation (HHG) is a nonlinear optical process in which intense laser fields interact with gas-phase atoms or molecules to produce coherent extreme ultraviolet (EUV) radiation. In this setup, a sequence of time-delayed laser pulses are focused into a gas jet to investigate the role of structured light in controlling the HHG process.\\n\\n# Main problem:\\n\\nI create a driving field composed of three temporally identical laser pulses of 800 nm center wavelength, 50 fs FWHM pulse duration, with the peaks of the pulses at t = 0 fs, t = 30 fs, and t = 60 fs, respectively. The first pulse is left circularly polarized and carries an orbital angular momentum (OAM) of  $\\\\ell = -1$, the second pulse is right circularly polarized and has OAM $\\\\ell = 2$, and the third pulse is left circularly polarized and has OAM $\\\\ell = 1$. The pulses are focused, overlapped in space, into a gas jet, and used to drive high-harmonic generation to produce EUV light. Calculate the OAM of the 23rd harmonic order and give the associated helicity $\\\\sigma$ ($\\\\pm 1$).\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://critpt.com/","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}