Far-from-equilibrium universal critical behavior of quantum geometry
arxiv(2024)
摘要
In this study, we show that the quantum critical point in the ground state of
quantum many-body systems, can also govern the universal dynamical behavior
when the systems are driven far from equilibrium, which can be captured by the
evolution of the quantum geometry of the systems. By investigating quantum
quench dynamics in a variety of quadratic fermionic models, we find that the
quantum volume of these systems typically grows linearly over time, with a
growth velocity demonstrating universal behavior: its first derivative over the
control parameter exhibits a discontinuity at the quantum critical point, with
an universal jump value that is independent of specific models, but is
crucially determined by the system dimension. This result reveals universal
dynamical properties of non-equilibrium quantum many-body systems.
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