Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume -, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2014/08/P08006
Keywords
integrable quantum field theory; transport processes/heat transfer (theory); quantum gases; quantum quenches
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Funding
- ERC [279391 EDEQS]
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We consider a non-interacting Fermi gas in d dimensions, both in the non-relativistic and relativistic case. The system of size L-d is initially prepared into two halves L and R, each of them thermalized at two different temperatures, T-L and T-R respectively. At time t = 0 the two halves are put in contact and the entire system is left to evolve unitarily. We show that, in the thermodynamic limit, the time evolution of the particle and energy densities is perfectly described by a semiclassical approach which permits to analytically evaluate the corresponding stationary currents. In particular, in the case of non-relativistic fermions, we find a low-temperature behavior for the particle and energy currents which is independent from the dimensionality d of the system, being proportional to the difference T-L(2)-T-R(2). Only in one spatial dimension (d = 1) do the results for the non-relativistic case agree with the massless relativistic ones
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