{'fraction_non_alphanumeric': 0.024251069900142655, 'fraction_numerical': 0.0014265335235378032, 'mean_word_length': 4.9491525423728815, '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 dynamics of a dissipative particle in a constant field: Exact path-integral approach.

We show that the dynamics of a dissipative quantum particle in a constant electric field can be solved exactly by applying the Feynman-Vernon influence-functional theory. We derive the drift velocity and its autocorrelation function as well as the fluctuation-dissipation theorem. For such a simple linear dissipative system, it is interesting to find that the drift velocity always depends on the field linearly, and the fluctuation is not influenced by the field. We also find, for the Ohmic dissipation, a t-2 power law long-time tail for the drift-velocity autocorrelation function at zero temperature.