Mean-force Hamiltonians from influence functionals
DOI (Low Temperature Physics):
https://doi.org/10.1063/10.0044810Ключові слова:
Hamiltonian of mean force, strong-coupling thermodynamics, Hubbard–Stratonovich transformation, influence functional, open quantum systemsАнотація
Гамільтоніан середньої сили (HMF) є стандартною від¬правною точкою для термодинаміки сильного зв’язку, проте точні операторні форми відомі лише для обмежених випадків. Ми пропонуємо концепцію «замороженої густини» (quenched density), яка використовує перетворення Габбарда–Стратоно¬вича для перезапису зведеного рівноважного стану як середнього значення локальних пропагаторів в уявному часі. Цей підхід строго розділяє статистичне визначення середовища від алгебраїчної структури відгуку системи. Ми застосовуємо цей метод до мінімального випадку гармонічного середовища зі зв’язком, що комутує з гамільтоніаном системи. За цим сценарієм поправка до HMF має точний вираз у замкненій формі. Ми перевірили цей результат за допомогою обчислень через взяття сліду для скінченного термостата та стохастичної вибірки в уявному часі на п’ятирівневій моделі з проєкторним зв’язком.
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In the sequel, we shall revisit and resolve this issue.
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