{"arxiv_id":"1803.08514","incoming":{"papers":5,"sentences":5,"groups":[{"kind":"background","label":"Cites it as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1810.08112","title":"Phase diagram of the dissipative quantum Ising model on a square lattice","url":"/paper/1810.08112","section":"Introduction","sentence":"This has been object of intense theoretical investigation [ref] , in view of its direct experimental simulation with interacting Rydberg atoms [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"1804.11293","title":"Spectral theory of Liouvillians for dissipative phase transitions","url":"/paper/1804.11293","section":"Introduction and motivations","sentence":"Dissipative phase transitions have been discussed theoretically for photonic systems [ref] , lossy polariton condensates [ref] , and spin models [ref] .","intent_p":0.85,"contests_p":null}]}],"unlabelled_sentences":3},"outgoing":{"papers":7,"sentences":27,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1602.06553","title":"Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems","url":"/paper/1602.06553","section":"Introduction","sentence":"We also introduce a functional renormalization group [ref] based approach, tailored to investigate long-wavelength dynamics of large order parameter fluctuations in a non-equilibrium setting to the currently developing theoretical toolbox for driven dissipative dynamics [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"1608.03563","title":"Pumping approximately integrable systems","url":"/paper/1608.03563","section":"Introduction","sentence":"We also introduce a functional renormalization group [ref] based approach, tailored to investigate long-wavelength dynamics of large order parameter fluctuations in a non-equilibrium setting to the currently developing theoretical toolbox for driven dissipative dynamics [ref] .","intent_p":0.93,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":1,"sentences":1,"quotes":[{"arxiv_id":"cond-mat/0006212","title":"First-order transitions in fluctuating 1+1-dimensional nonequilibrium systems","url":"/paper/cond-mat/0006212","section":"The fate of the dark state in one dimension","sentence":"Similar behavior has been observed for classical, absorbing state phase transitions in one spatial dimension, for which first order phase transitions induced by short ranged processes are conjectured not to exist [ref] , but second order absorbing state phase transitions have been established [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites as support","papers":1,"sentences":2,"quotes":[{"arxiv_id":"1611.02283","title":"Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems","url":"/paper/1611.02283","section":"The fate of the dark state in one dimension","sentence":"It has been shown that deviations from a second order polynomial potential are RG relevant in $d=1$ [ref] and thus will persist on the largest wavelengths, denying the restoration of rapidity inversion and the directed percolation universality at $k=0$.","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":2,"sentences":4,"quotes":[{"arxiv_id":"1611.02283","title":"Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems","url":"/paper/1611.02283","section":"Scope & Methods","sentence":"This repeats basic elements from the analysis in Refs. [ref] and serves as an introduction to the phase diagram and to the notion of a first order dark state transition.","intent_p":0.95,"contests_p":null},{"arxiv_id":"1605.08609","title":"Uncovering the non-equilibrium phase structure of an open quantum spin system","url":"/paper/1605.08609","section":"Quantum master equation","sentence":"Here, each spin-$1/2$ degree of freedom represents the ground $|g⟩≡|↓⟩$ or the excited $|e⟩≡|↑⟩$ state of a Rydberg atom, as used in a number of recent experiments [ref] .","intent_p":0.87,"contests_p":null}]}],"unlabelled_sentences":18},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/1803.08514"}}