Symplectic split-operator method for the time-dependent unitary Tavis–Cummings model
DOI (Low Temperature Physics):
https://doi.org/10.1063/10.0046101Ключові слова:
multilevel spin system, Tavis–Cummings model, cavity mode, tridiagonal form of matrix, Schrödinger equationАнотація
Ми пропонуємо швидкий, ефективний з точки зору використання пам’яті та такий, що зберігає унітарність, чисельний метод, який виходить за межі наближення обертової хвилі для закритої моделі Тавіса–Каммінгса, в якій багаторівнева спінова система взаємодіє з модою резонатора. Ця модель дозволяє описати взаємодію ансамблю спінів з модою резонатора, в якій частота спінів та інші параметри залежать від часу. Метод використовує той факт, що, хоча модель Тавіса–Каммінгса не є тридіагональною, її можна привести до тридіа¬гональної форми шляхом зміни базису, що реалізується виключно шляхом переіндексації (перестановки елементів базису), що є швидкою операцією. Завдяки обрізанню базису Фока моди резонатора обчислювальна складність методу є лінійною щодо загального розміру зв’язаної системи як за часом, так і за обсягом пам’яті. Цей метод можна застосовувати для мо-делювання будь-якої закритої квантової системи, гамільтоніан якої можна привести до тридіагональної форми.
Посилання
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