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Abstract: Attempts to understand zero temperature phase transitions have forcedphysicists to consider a regime where the standard paradigms of condensedmatter physics break down 1-4. These quantum critical systems lack a simpledescription in terms of weakly interacting quasiparticles, but over the past 20years physicists have gained deep insights into their properties. Mostdramatically, theory predicts that universal scaling relationships describetheir finite temperature thermodynamics up to remarkably high temperatures.Unfortunately, these universal functions are hard to calculate: for examplethere are no reliable general techniques 4,5 to calculate the scalingfunctions for dynamics. Viewing a cold atom experiment as a quantum simulator6, we show how to extract universal scaling functions from non-universalatomic density profiles or spectroscopic measurements. Such experiments canresolve important open questions about the Mott-Metal crossover 7,8 and thedynamics of the finite density O2 rotor model 1,9, with direct impact ontheories of, for example, high temperature superconducting cuprates 10,11,heavy fermion materials 12, and graphene 13.



Author: Kaden R. A. Hazzard, Erich J. Mueller

Source: https://arxiv.org/







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