期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 49, 期 21, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/49/21/215303
关键词
open quantum systems; quantum thermodynamics; quantum damped oscillators
资金
- EPSRC [EP/M009165/1]
- Engineering and Physical Sciences Research Council [EP/M009165/1] Funding Source: researchfish
- EPSRC [EP/M009165/1] Funding Source: UKRI
We consider the global thermal state of classical and quantum harmonic oscillators that interact with a reservoir. Ohmic damping of the oscillator can be exactly treated with a 1D scalar field reservoir, whereas general non-Ohmic damping is conveniently treated with a continuum reservoir of harmonic oscillators. Using the diagonalized Hamiltonian of the total system, we calculate a number of thermodynamic quantities for the damped oscillator: the mean force internal energy, mean force free energy, and another internal energy based on the free-oscillator Hamiltonian. The classical mean force energy is equal to that of a free oscillator, for both Ohmic and non-Ohmic damping no matter how strong the coupling to the reservoir. In contrast, the quantum mean force energy depends on the details of the damping and diverges for strictly Ohmic damping. These results give additional insight into the steady-state thermodynamics of open systems with arbitrarily strong coupling to a reservoir, complementing results for energies derived within dynamical approaches (e.g. master equations) in the weak-coupling regime.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据