2013/05/31 by Leonardo Banchi, Paolo Giorda, Paolo Zanardi
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreve.89.022102
published as Phys. Rev. E 89, 022102 (2014) · 5+6 pages, 2 figures, presentation improved, new results and references added
arxiv created 2013/09/20 · openalex publication_date 2014/02/06 · arxiv updated 2014/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
A general framework for analyzing the recently discovered phase transitions in the steady state of dissipation-driven open quantum systems is still lacking. To fill this gap, we extend the so-called fidelity approach to quantum phase transitions to open systems whose steady state is a Gaussian fermionic state. We endow the manifold of correlation matrices of steady states with a metric tensor g measuring the distinguishability distance between solutions corresponding to a different set of control parameters. The phase diagram can then be mapped out in terms of the scaling behavior of g and connections with the Liouvillean gap and the model correlation functions unveiled. We argue that the fidelity approach, thanks to its differential-geometric and information-theoretic nature, provides insights into dissipative quantum critical phenomena as well as a general and powerful strategy to explore them.