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Title:
Effective descriptions of inhomogeneous systems in condensed matter and statistical mechanics
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Abstract:
I will discuss the ground state physics of 1d integrable and non integrable inhomogeneous quantum critical systems. By inhomogeneous I mean that the couplings in the underlying model may now depend on position. Examples include spin chains in a position-dependent magnetic field, Lieb-Liniger models in a trapping potential, or entanglement Hamiltonians of homogeneous systems. Studying those models naturally leads to conformal field theories in a curved metric. I will also discuss the universal properties that may be found at the edge, and how all those problems are related to the limit shape phenomenon in statistical mechanics.
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