2018/09/30 by F. Tonielli, Rosario Fazio, R. Fazio +4 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dissipative system #Ising model #Opinion Dynamics and Social Influence #Physics #Quantum #Quantum Zeno effect #Quantum correlation #Quantum decoherence #Quantum discord #Quantum dissipation #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Statistical physics #Superfluidity #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.122.040604
published as Phys. Rev. Lett. 122, 040604 (2019) · 5+7 pages, 3 figures
openalex publication_date 2019/01/30 · arxiv created 2019/02/01 · arxiv updated 2019/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We present an analog of the phenomenon of orthogonality catastrophe in quantum many-body systems subject to a local dissipative impurity. We show that the fidelity F(t), giving a measure for distance of the time-evolved state from the initial one, displays a universal scaling form F(t)∝tθe-γt, when the system supports long-range correlations, in a fashion reminiscent of traditional instances of orthogonality catastrophe in condensed matter. An exponential falloff at rate γ signals the onset of environmental decoherence, which is critically slowed down by the additional algebraic contribution to the fidelity. This picture is derived within a second-order cumulant expansion suited for Liouvillian dynamics, and substantiated for the one-dimensional transverse field quantum Ising model subject to a local dephasing jump operator, as well as for XY and XX quantum spin chains, and for the two-dimensional Bose gas deep in the superfluid phase with local particle heating. Our results hint that local sources of dissipation can be used to inspect real-time correlations and to induce a delay of decoherence in open quantum many-body systems.