Yusipov I.I., Vershinina O.S., Denisov S.V., Kuznetsov S.P., Ivanchenko M.V. Lyapunov exponents of quantum trajectories beyond continuous measurements. Chaos: An Interdisciplinary Journal of Nonlinear Science , 2019 , 29 (6). 063130. ISSN 1054-1500
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Аннотация
Quantum systems, when interacting with their environments, may exhibit non-equilibrium states that are tempting to be interpreted as quantum analogs of chaotic attractors. However, different from the Hamiltonian case, the toolbox for quantifying dissipative quantum chaos remains limited. In particular, quantum generalizations of Lyapunov exponents, the main quantifiers of classical chaos, are established only within the framework of continuous measurements. We propose an alternative generalization based on the unraveling of quantum master equation into an ensemble of ‘quantum trajectories’, by using the so-called Monte Carlo wave-function method. We illustrate the idea with a periodically modulated open quantum dimer and demonstrate that the transition to quantum chaos matches the period-doubling route to chaos in the corresponding mean-field system.
| Тип объекта: | Статья |
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| Авторы на русском. ОБЯЗАТЕЛЬНО ДЛЯ АНГЛОЯЗЫЧНЫХ ПУБЛИКАЦИЙ!: | Юсипов И.И., Вершинина О.С., Денисов С.В., Кузнецов С.П., Иванченко М.В. |
| Подразделения (можно выбрать несколько, удерживая Ctrl): | СФ-7 лаб. теоретической нелинейной динамики |
| URI: | http://cplire.ru:8080/id/eprint/7536 |
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