Achieving continuously tunable critical exponents for long-range spin systems simulated with trapped ions

Abstract

Quantum phase transitions are usually classified into discrete universality classes that typically only depend on symmetries and spatial dimensionalities. In this Letter, we demonstrate an opportunity to continuously vary the critical exponents or universalities by tuning experimental parameters in a given physical system. Particularly, we show that critical exponents in long-range spin systems simulated in ion traps can be easily tuned with laser detuning. We suggest that such experiments also effectively simulate some aspects of critical phenomena in conventional spin systems but in artificial non-integer spatial dimensions.

6 pages, 3 figures, added reference and section headings, modified wordings

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Cited by in corpus (8)

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• Quantum criticality and excitations of a long-range anisotropic $XY$-chain in a transverse field
• Scaling at quantum phase transitions above the upper critical dimension
• Effective-Dimension Theory of Critical Phenomena above Upper Critical Dimensions
• Theory of Critical Phenomena with Memory
• Stochastic parameter optimization analysis of dynamical quantum critical phenomena in long-range transverse-field Ising chain
• Dynamic critical exponents as an emergent property at interacting topological quantum critical points
• Critical exponents of the Ising model with quenched structural disorder and long-range interactions at spatial dimension $d=3$