Local CFTs lie at the extrema of the sphere free energy tilde F for nonlocal CFT lines, and maximize it when unitary.
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Functional renormalization group analysis of the 1D dissipative Bose-Hubbard model reveals a Luttinger-liquid line of fixed points competing with a dissipative fixed point of finite compressibility and vanishing superfluid stiffness, separated by a BKT transition, for ohmic to super-ohmic baths.
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Local CFTs extremise $F$
Local CFTs lie at the extrema of the sphere free energy tilde F for nonlocal CFT lines, and maximize it when unitary.
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Functional renormalization group study of a dissipative Bose--Hubbard model
Functional renormalization group analysis of the 1D dissipative Bose-Hubbard model reveals a Luttinger-liquid line of fixed points competing with a dissipative fixed point of finite compressibility and vanishing superfluid stiffness, separated by a BKT transition, for ohmic to super-ohmic baths.