Affiliation:
1. INFN Trieste
2. International School for Advanced Studies
3. Institute for Complex Systems
4. National Institute for Nuclear Physics
5. Institute of Structure of Matter
6. University of Trieste
Abstract
We study the nonequilibrium steady-state of a fully-coupled network of N quantum harmonic oscillators, interacting with two thermal reservoirs. Given the long-range nature of the couplings,
we consider two setups: one in which the number of particles coupled to the
baths is fixed (intensive coupling) and one in which it is proportional
to the size N (extensive coupling).
In both cases, we compute analytically the heat fluxes and the kinetic temperature
distributions using the nonequilibrium Green's function approach, both in the classical and quantum regimes. In the large N limit, we derive the
asymptotic expressions of both quantities as a function of N and the temperature difference between the baths. We discuss a peculiar feature of the model, namely that the bulk
temperature vanishes in the thermodynamic limit, due to a decoupling of the dynamics of the inner part of the system from the baths. At variance with the usual
case, this implies that the steady-state depends on the initial state
of the bulk particles.
We also show that quantum effects are relevant only below a characteristic
temperature that vanishes as 1/N. In the quantum low-temperature regime
the energy flux is proportional to the universal quantum of thermal
conductance.
Funder
Ministero dell’Istruzione, dell’Università e della Ricerca
Cited by
5 articles.
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