Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains

Sierant, Piotr; Chiriacò, Giuliano; Surace, Federica M.; Sharma, Shraddha; Turkeshi, Xhek; Dalmonte, Marcello; Fazio, Rosario; Pagano, Guido

doi:10.22331/q-2022-02-02-638

Title: Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains

Journal Article · 01 February 2022 · Quantum

DOI: https://doi.org/10.22331/q-2022-02-02-638 · OSTI ID:1981316

Sierant, Piotr ^[1]; Chiriacò, Giuliano ^[2]; Surace, Federica M. ^[2]; Sharma, Shraddha ^[3]; Turkeshi, Xhek ^[2]; Dalmonte, Marcello ^[2]; Fazio, Rosario ^[4]; Pagano, Guido ^[5]

Abdus Salam International Center for Theoretical Physics, Trieste (Italy); Jagiellonian Univ., Krakow (Poland); Rice Univ., Houston, TX (United States)
Abdus Salam International Center for Theoretical Physics, Trieste (Italy); International School for Advanced Studies (SISSA), Trieste (Italy)
Abdus Salam International Center for Theoretical Physics, Trieste (Italy)
Abdus Salam International Center for Theoretical Physics, Trieste (Italy); Univ. degli Studi di Napoli Federico II (Italy)
Rice Univ., Houston, TX (United States)

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.

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Research Organization:: Univ. of Maryland, College Park, MD (United States)

Sponsoring Organization:: European Research Council (ERC); European Union (EU); Foundation for Polish Science (FNP); National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0021143

OSTI ID:: 1981316

Journal Information:: Quantum, Journal Name: Quantum Vol. 6; ISSN 2521-327X

Publisher:: Quantum Science Open CommunityCopyright Statement

Country of Publication:: United States

Language:: English

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