{'fraction_non_alphanumeric': 0.02237136465324385, 'fraction_numerical': 0.0, 'mean_word_length': 5.136986301369863, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Quantum theory of laser transverse spatial solitons

We consider the generation of laser field in the presence of active laser medium as well as the medium with saturable absorption, and construct the quantum theory of the laser spatial transverse soliton in terms of Heisenberg-Langevin equations. We show a significant change in the statistics of photons from the periphery of the soliton (below-threshold) to its central part (above-threshold).