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- W4384264620 abstract "We analyse the properties across steady state phase transitions of two all-to-all driven-dissipative spin models that describe possible dynamics of N two-level systems inside an optical cavity. We show that the finite size behaviour around the critical points can be captured correctly by carefully identifying the relevant non-linearities in the Holstein-Primakoff representation of spin operators in terms of bosonic variables. With these tools, we calculate analytically various observables across the phase transitions and obtain their finite size scalings, including numerical prefactors. In particular, we look at the amount of spin squeezing carried by the steady states, of relevance for quantum metrology applications, and describe in analytical detail the mechanism by which the optimal spin squeezing acquires logarithmic corrections that depend on the system size. We also demonstrate that the logarithmic nature of these corrections is difficult to characterize through numerical procedures for any experimentally realistic and/or simulable values of particle number. We complement all of our analytical arguments with numerical benchmarks." @default.
- W4384264620 created "2023-07-14" @default.
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- W4384264620 date "2023-07-11" @default.
- W4384264620 modified "2023-10-17" @default.
- W4384264620 title "Critical steady states of all-to-all driven-dissipative models: An analytic approach" @default.
- W4384264620 doi "https://doi.org/10.48550/arxiv.2307.05115" @default.
- W4384264620 hasPublicationYear "2023" @default.
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