Dynamical typicality of embedded quantum systems
arXiv:1706.00702 · doi:10.1103/PhysRevA.96.012108
Abstract
We consider the dynamics of an arbitrary quantum system coupled to a large arbitrary and fully quantum mechanical environment through a random interaction. We establish analytically and check numerically the typicality of this dynamics, in other words the fact that the reduced density matrix of the system has a self-averaging property. This phenomenon, which lies in a generalized central limit theorem, justifies rigorously averaging procedures over certain classes of random interactions and can explain the absence of sensitivity to microscopic details of irreversible processes such as thermalisation. It provides more generally a new ergodic principle for embedded quantum systems.
9 pages. Accepted for publication in Phys. Rev. A. This article supersedes the part on "dynamical typicality" in arXiv:1510.04352
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- Quantum master equation from the eigenstate thermalization hypothesis
- Random Matrix Ensembles For Many-Body Quantum Systems
- Self--averaging of random quantum dynamics
- Statistical diagonalization of a random biased Hamiltonian: the case of the eigenvectors
- Long-time memory effects in a localizable central spin problem
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- Quantum reservoir computing for predicting and characterizing chaotic maps