2014/04/04 by Mario Collura, Gabriele Martelloni
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.quant-gas #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2014/08/p08006
published as J. Stat. Mech. (2014) P08006 · 17 pages, 3 figures
arxiv created 2014/04/04 · openalex publication_date 2014/08/05 · arxiv updated 2014/10/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider a non-interacting Fermi gas in d dimensions, both in the non-relativistic and relativistic case. The system of size Ld is initially prepared into two halves L and R, each of them thermalized at two different temperatures, TL and TR 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 correspondent 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 TL2-TR2. Only in one spatial dimension (d=1), the results for the non-relativistic case agree with the massless relativistic ones.