Entropy-based formulation of thermodynamics in arbitrary quantum evolution

被引:31
作者
Alipour, S. [1 ]
Rezakhani, A. T. [2 ]
Chenu, A. [3 ,4 ,5 ]
del Campo, A. [3 ,4 ,5 ,6 ]
Ala-Nissila, T. [1 ,7 ,8 ]
机构
[1] Aalto Univ, QTF Ctr Excellence, Dept Appl Phys, POB 11000, FI-00076 Espoo, Finland
[2] Sharif Univ Technol, Dept Phys, Tehran 14588, Iran
[3] Univ Luxembourg, Dept Phys & Mat Sci, L-1511 Luxembourg, Luxembourg
[4] Donostia Int Phys Ctr, E-20018 San Sebastian, Spain
[5] Basque Fdn Sci, Ikerbasque, E-48013 Bilbao, Spain
[6] Univ Massachusetts, Dept Phys, Boston, MA 02125 USA
[7] Loughborough Univ, Interdisciplinary Ctr Math Modelling, Loughborough LE11 3TU, Leics, England
[8] Loughborough Univ, Dept Math Sci, Loughborough LE11 3TU, Leics, England
基金
芬兰科学院;
关键词
70;
D O I
10.1103/PhysRevA.105.L040201
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Given the evolution of an arbitrary open quantum system, we formulate a general and unambiguous method to separate the internal energy change of the system into an entropy-related contribution and a part causing no entropy change, identified as heat and work, respectively. We also demonstrate that heat and work admit geometric and dynamical descriptions by developing a universal dynamical equation for the given trajectory of the system. The dissipative and coherent parts of this equation contribute exclusively to heat and work, where the specific role of a work contribution from a counterdiabatic drive is underlined. Next we define an expression for the irreversible entropy production of the system which does not have explicit dependence on the properties of the ambient environment; rather, it depends on a set of the system???s observables excluding its Hamiltonian and is independent of internal energy change. We illustrate our results with three examples.
引用
收藏
页数:6
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