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Energy distribution and local fluctuations in strongly coupled open quantum systems: The extended resonant level model | | Maicol A. Ochoa
; Anton Bruch
; Abraham Nitzan
; | | Date: |
25 Jul 2016 | | Abstract: | We study the energy distribution in the extended resonant level model at
equilibrium. Previous investigations [Phys. Rev. B {f 89}, 161306 (2014),
Phys. Rev. B {f 93}, 115318 (2016)] have found, for a resonant electronic
level interacting with a thermal free electron wide-band bath, that the
expectation value for the energy of the interacting subsystem can be correctly
calculated by considering a symmetric splitting of the interaction Hamiltonian
between the subsystem and the bath. However, the general implications of this
approach were questioned [Phys. Rev. B {f 92}, 235440 (2015)]. Here we show
that already at equilibrium, such splitting fails to describe the energy
fluctuations, as measured here by the second and third central moments (namely
width and skewness) of the energy distribution. Furthermore, we find that when
the wide-band approximation does not hold, no splitting of the system-bath
interaction can describe the system thermodynamics. We conclude that in general
no proper division subsystem of the Hamiltonian of the composite system can
account for the energy distribution of the subsystem. This also implies that
the thermodynamic effects due to local changes in the subsystem cannot in
general be described by such splitting. | | Source: | arXiv, 1607.7120 | | Services: | Forum | Review | PDF | Favorites | |
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