Diabolical textures from spatially embedded Thouless pumps yield distinct gapped states separated by trap-scaling critical points that terminate into unnecessary critical surfaces when the texture varies rapidly, with a classification framework based on Kitaev's Ω spectrum conjecture.
Critical behavior and scaling in trapped systems
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abstract
We study the scaling properties of critical particle systems confined by a potential. Using renormalization-group arguments, we show that their critical behavior can be cast in the form of a trap-size scaling, resembling finite-size scaling theory, with a nontrivial trap critical exponent theta, which describes how the correlation length scales with the trap size l, i.e., $\xi\sim l^\theta$ at the critical point. theta depends on the universality class of the transition, the power law of the confining potential, and on the way it is coupled to the critical modes. We present numerical results for two-dimensional lattice gas (Ising) models with various types of harmonic traps, which support the trap-size scaling scenario.
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UNVERDICTED 2representative citing papers
A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.
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Topological Phenomena Protected by Diabolical Textures
Diabolical textures from spatially embedded Thouless pumps yield distinct gapped states separated by trap-scaling critical points that terminate into unnecessary critical surfaces when the texture varies rapidly, with a classification framework based on Kitaev's Ω spectrum conjecture.
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Coherent and dissipative dynamics at quantum phase transitions
A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.