Symmetry-induced decoherence-free subspaces
Atomic Physics
2023-01-13 v1 Quantum Physics
Abstract
Preservation of coherence is a fundamental yet subtle phenomenon in open systems. We uncover its relation to symmetries respected by the system Hamiltonian and its coupling to the environment. We discriminate between local and global classes of decoherence-free subspaces for many-body systems through the introduction of "ghost variables". The latter are orthogonal to the symmetry and the coupling to the environment does not depend on them. Constructing them is facilitated in classical phase space and can be transferred to quantum mechanics through the equivalent role that Poisson and Lie algebras play for symmetries in classical and quantum mechanics, respectively. Examples are given for an interacting spin system.
Cite
@article{arxiv.2205.10057,
title = {Symmetry-induced decoherence-free subspaces},
author = {Jonathan Dubois and Ulf Saalmann and Jan Michael Rost},
journal= {arXiv preprint arXiv:2205.10057},
year = {2023}
}