2020/10/09 by Chris Nagele, Nagele, Chris, Oliver Janssen +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Computer science #Decoherence-free subspaces #Density matrix #Diagonal #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Hilbert space #Mathematical analysis #Mathematics #Open quantum system #Physics #Pointer (user interface) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum decoherence #Quantum dissipation #Quantum error correction #Quantum mechanics #Quantum operation #Quantum optics and atomic interactions #Quantum system #Subspace topology #Wave function #Wave function collapse #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.2010.04803
published in arXiv (Cornell University) (Cornell University) · 11+3 pages
arxiv created 2020/10/09 · openalex publication_date 2020/10/09 · arxiv updated 2020/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study quantum decoherence numerically in a system consisting of a relativistic quantum field theory coupled to a measuring device that is itself coupled to an environment. The measuring device and environment are treated as quantum, non-relativistic particles. We solve the Schrödinger equation for the wave function of this tripartite system using exact diagonalization. Although computational limitations on the size of the Hilbert space prevent us from exploring the regime where the device and environment consist of a truly macroscopic number of degrees of freedom, we nevertheless see clear evidence of decoherence: after tracing out the environment, the density matrix describing the system and measuring device evolves quickly towards a matrix that is close to diagonal in a subspace of pointer states.