Boltzmann equation approach to transport in finite modular quantum systems
arXiv:0706.3607 · doi:10.1103/PhysRevB.76.024306
Abstract
We investigate the transport behavior of finite modular quantum systems. Such systems have recently been analyzed by different methods. These approaches indicate diffusive behavior even and especially for finite systems. Inspired by these results we analyze analytically and numerically if and in which sense the dynamics of those systems are in agreement with an appropriate Boltzmann equation. We find that the transport behavior of a certain type of finite modular quantum systems may indeed be described in terms of a Boltzmann equation. However, the applicability of the Boltzmann equation appears to be rather limited to a very specific type of model.
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Cited by in corpus (5)
- Quantum linear Boltzmann equation
- Occurrence of exponential relaxation in closed quantum systems
- Projection operator approach to transport in complex single-particle quantum systems
- Projection operator approach to master equations for coarse grained occupation numbers in non-ideal quantum gases
- Finite size effects on transport coefficients for models of atomic wires coupled to phonons