Fidelity Mechanics: Analogues of the Four Thermodynamic Laws and Landauer's Principle

Fidelity mechanics, a scheme to investigate critical phenomena in quantum many-body physics, is formulated as an analogue of the four laws in thermodynamics and black hole mechanics, thus unveiling a formal connection between critical points and black holes.

Rich physics is unveiled even for prototypical models in quantum many-body systems, such as one-dimensional quantum XY model, quantum transverse Ising chain in a longitudinal field and quantum XYZ chain.