2021/07/31 by Piotr Sierant, Giuliano Chiriacò, Federica M. Surace +6
Computer Science · Physics and Astronomy · #Condensed matter physics #Dissipative system #Floquet theory #Phase transition #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.dis-nn #cond-mat.quant-gas #cond-mat.stat-mech #cond-mat.str-el #quant-ph
paper · pdf · doi:10.22331/q-2022-02-02-638
published as Quantum 6, 638 (2022) · accepted version, comments welcome
arxiv created 2022/01/29 · arxiv updated 2022/02/02 · openalex publication_date 2022/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Quantum systems evolving unitarily and subject to quantum measurements exhibit various types of non-equilibrium phase transitions, arising from the competition between unitary evolution and measurements. Dissipative phase transitions in steady states of time-independent Liouvillians and measurement induced phase transitions at the level of quantum trajectories are two primary examples of such transitions. Investigating a many-body spin system subject to periodic resetting measurements, we argue that many-body dissipative Floquet dynamics provides a natural framework to analyze both types of transitions. We show that a dissipative phase transition between a ferromagnetic ordered phase and a paramagnetic disordered phase emerges for long-range systems as a function of measurement probabilities. A measurement induced transition of the entanglement entropy between volume law scaling and sub-volume law scaling is also present, and is distinct from the ordering transition. The two phases correspond to an error-correcting and a quantum-Zeno regimes, respectively. The ferromagnetic phase is lost for short range interactions, while the volume law phase of the entanglement is enhanced. An analysis of multifractal properties of wave function in Hilbert space provides a common perspective on both types of transitions in the system. Our findings are immediately relevant to trapped ion experiments, for which we detail a blueprint proposal based on currently available platforms.