2018/02/28 by Moos van Caspel, Vladimir Gritsev · 42 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Degenerate energy levels #Dephasing #Homogeneous space #Mathematical physics #Mathematics #Observable #Parity (physics) #Physics #Protein Structure and Dynamics #Quantum #Quantum decoherence #Quantum many-body systems #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Superconductivity #Symmetry (geometry) #T-symmetry #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.97.052106
published in Physical Review A 97(5) (American Physical Society) · 9 pages, 3 figures. Added discussion at end of section III
arxiv created 2018/05/07 · openalex publication_date 2018/05/07 · arxiv updated 2018/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the effect of Markovian bulk dephasing noise on the staggered magnetization of the spin-(1)/(2) XXZ Heisenberg chain, as the system evolves after a N'eel quench. For sufficiently weak system-bath coupling, the unitary dynamics are found to be preserved up to a single exponential damping factor. This is a consequence of the interplay between \mathbbPT symmetry and weak symmetries, which strengthens previous predictions for \mathbbPT-symmetric Liouvillian dynamics. Requirements are a nondegenerate \mathbbPT-symmetric generator of time evolution \stackrel\ifmmode \else \\fiL, a weak parity symmetry, and an observable that is antisymmetric under this parity transformation. The spectrum of \stackrel\ifmmode \else \\fiL then splits up into symmetry sectors, yielding the same decay rate for all modes that contribute to the observable's time evolution. This phenomenon may be realized in trapped ion experiments and has possible implications for the control of decoherence in out-of-equilibrium many-body systems.