Five Shades of Grey: **Phase** **Transitions** in High-dimensional Multiple
Testing

**phase**

**transitions**in high-dimensional chi-square models, and derive the signal sizes necessary and sufficient for statistical procedures to simultaneously control false discovery (in terms of family-wise error rate or false discovery rate) and missed detection (in terms of family-wise non-discovery rate or false non-discovery rate) in large dimensions. Remarkably, degrees of freedom in the chi-square distributions do not affect the boundaries in all four

**phase**

**transitions**. Several well-known procedures are shown to attain these boundaries. Two new

**phase**

**transitions**are also identified in the Gaussian location model under one-sided alternatives. We then elucidate on the nature of signal sizes in association tests by characterizing its relationship with marginal frequencies, odds ratio, and sample sizes in $2\times2$ contingency tables. This allows us to illustrate an interesting manifestation of the

**phase**

**transition**phenomena in genome-wide association studies (GWAS). We also show, perhaps surprisingly, that given total sample sizes, balanced designs in such association studies rarely deliver optimal power.

10/10 relevant

arXiv

Convergence to closed-form distribution for the backward $SLE_{\kappa}$
at some random times and the **phase** **transition** at $\kappa=8$

**phase**

**transition**at the value $\kappa=8$ from integrability to non-integrability, that happens at the same value of $\kappa$ as the change in behavior of the $SLE_{\kappa}$ trace from non-space filling to space-filling curve. Using convergence in total variation for the law of this diffusion towards stationarity, we identify families of random times on which the law of the arguments of points under the backward $SLE_{\kappa}$ flow converge to a closed form expression measure. For $\kappa=4,$ this gives precise characterization for the random times on which the law of the arguments of points under the backward $SLE_{\kappa}$ flow converge to the uniform law.

10/10 relevant

arXiv

The frog model on non-amenable trees

**phase**

**transition**from transience to recurrence (with a non-trivial intermediate

**phase**sometimes sandwiched in between) as $\lambda$ varies.

4/10 relevant

arXiv

Chiral Magnonic Edge States in Ferromagnetic Skyrmion Crystals Controlled by Magnetic Fields

**phase**

**transition**in the spin wave spectrum of a ferromagnetic skyrmion crystal. The topological

**phase**

**transition**is signaled by the closing of a low-energy bulk magnon gap at a critical field. In the topological phase, below the critical field, two topologically protected chiral magnonic edge states lie within this gap, but they unravel in the trivial phase, above the critical field. Remarkably, the topological

**phase**

**transition**involves an inversion of two magnon bands that at the $\Gamma$ point correspond to the breathing and anticlockwise modes of the skyrmions in the crystal. Our findings suggest that an external magnetic field could be used as a knob to switch on and off magnon spin currents carried by topologically protected chiral magnonic edge states.

5/10 relevant

arXiv

**Phase** diagram, symmetry breaking, and critical behavior of
three-dimensional lattice multiflavor scalar chromodynamics

**phases**separated by a

**transition**line where a gauge-invariant order parameter condenses, being associated with the breaking of the residual global symmetry after gauging. Expand abstract.

**phase**diagram of three-dimensional lattice models in the presence of nonabelian gauge symmetries. In particular, we consider a paradigmatic model for the Higgs mechanism, lattice scalar chromodynamics with N_f flavors, characterized by a nonabelian SU(N_c) gauge symmetry. For N_f>1 (multiflavor case), it presents two

**phases**separated by a

**transition**line where a gauge-invariant order parameter condenses, being associated with the breaking of the residual global symmetry after gauging. The nature of the

**phase**

**transition**line is discussed within two field-theoretical approaches, the continuum scalar chromodynamics and the Landau-Ginzburg- Wilson (LGW) Phi4 approach based on a gauge-invariant order parameter. Their predictions are compared with simulation results for N_f=2, 3 and N_c = 2, 3, and 4. The LGW approach turns out to provide the correct picture of the critical behavior, unlike continuum scalar chromodynamics.

4/10 relevant

arXiv

QCD Axion Dark Matter from a Late Time **Phase** **Transition**

**phase**

**transition**occurs at a temperature far below the symmetry breaking scale. Low

**phase**

**transition**temperatures are typical in supersymmetric theories, where symmetry breaking fields have small masses. We find that QCD axions are abundantly produced just after the

**phase**

**transition**. The observed dark matter abundance is reproduced even if the decay constant is much lower than $10^{11}$ GeV. The produced axions tend to be warm. For some range of the decay constant, the effect of the predicted warmness on structure formation can be confirmed by future observations of 21 cm lines. A portion of parameter space requires a mixing between the Peccei-Quinn symmetry breaking field and the Standard Model Higgs, and predicts an observable rate of rare Kaon decays.

10/10 relevant

arXiv

On the nature of the non-equilibrium **phase** **transition** in the
non-Markovian driven Dicke model

**phase**

**transition**and identify the finite-size scaling exponents, unlocking a rich behavior in both statics and dynamics of the photonic and atomic observables. Expand abstract.

**phase**

**transition**to a superradiant

**phase**with a macroscopic population of photons and is realized in multiple settings in open quantum systems. In this work, we study a variant of the Dicke model where the cavity mode is lossy due to the coupling to a Markovian environment while the atomic mode is coupled to a colored bath. We analytically investigate this model by inspecting its low-frequency behavior via the Schwinger-Keldysh field theory and carefully examine the nature of the corresponding superradiant

**phase**

**transition**. Integrating out the fast modes, we can identify a simple effective theory allowing us to derive analytical expressions for various critical exponents, including those, such as the dynamical critical exponent, that have not been previously considered. We find excellent agreement with previous numerical results when the non-Markovian bath is at zero temperature; however, contrary to these studies, our low-frequency approach reveals that the same exponents govern the critical behavior when the colored bath is at finite temperature unless the chemical potential is zero. Furthermore, we show that the superradiant

**phase**

**transition**is classical in nature, while it is genuinely non-equilibrium. We derive a fractional Langevin equation and conjecture the associated fractional Fokker-Planck equation that capture the system's long-time memory as well as its non-equilibrium behavior. Finally, we consider finite-size effects at the

**phase**

**transition**and identify the finite-size scaling exponents, unlocking a rich behavior in both statics and dynamics of the photonic and atomic observables.

10/10 relevant

arXiv

Visualizing dissipative transport dynamics at the nano-scale with superconducting charge qubit microscopy

**phases**in low-dimensional quantum materials demands for the concurrent development of measurement techniques that combine surface sensitivity with high spatial resolution and high measurement accuracy. We propose a new quantum sensing imaging modality based on superconducting charge qubits to study dissipative charge carrier dynamics with nanometer spatial and high temporal resolution. Using analytical and numerical calculations we show that superconducting charge qubit microscopy (SCQM) has the potential to resolve temperature and resistivity changes in a sample as small as $\Delta T\leq0.1\;$mK and $\Delta\rho\leq1\cdot10^{4} \,\Omega\cdot$cm, respectively. Among other applications, SCQM will be especially suited to study the microscopic mechanisms underlying resistive

**phase**transition, such as the superconductor-insulator-

**transition**in twisted bilayer graphene, to investigate novel topological boundary modes found in higher order topological insulators and to optimize the transport properties of nano- and mesoscopic devices.

4/10 relevant

arXiv

Magnon Bose-Einstein Condensation and Superconductivity in a Frustrated Kondo Lattice

**phase**diagram of the Kondo lattice model with a nonmagnetic valence bond solid ground state on a ladder. A similar physical setting may be naturally occurring in YbAl$_3$C$_3$, CeAgBi$_2$, and TmB$_4$ compounds. In the insulating limit, the application of a magnetic field drives a quantum

**phase**

**transition**to an easy-plane antiferromagnet, which is described by a Bose-Einstein condensation of magnons. Using a combination of field theoretical techniques and density matrix renormalization group calculations we demonstrate that in one dimension this

**transition**is stable in the presence of a metallic Fermi sea and its universality class in the local magnetic response is unaffected by the itinerant gapless fermions. Moreover, we find that fluctuations about the valence bond solid ground state can mediate an attractive interaction that drives unconventional superconducting correlations. We discuss the extensions of our findings to higher dimensions and argue that, depending on the filling of conduction electrons, the magnon Bose-Einstein condensation

**transition**can remain stable in a metal also in dimensions two and three.

4/10 relevant

arXiv

Surface **phase** **transitions** in foams and emulsions

**phase**

**transitions**could be used as a powerful tool to control many foam and emulsion properties, but we need deeper understanding of the underlying phenomena to explore fully these opportunities. Expand abstract.

**phase**

**transitions**in surfactant adsorption layers are known to affect the dynamic properties of foams and to induce surface nucleation in freezing emulsion drops. Recently, these

**transitions**were found to play a role in several other phenomena, opening new opportunities for controlling foam and emulsion properties. This review presents a brief outlook of the emerging opportunities in this area. Three topics are emphasized: (1) The use of surfactant mixtures for inducing

**phase**

**transitions**on bubble surfaces in foams; (2) The peculiar properties of natural surfactants saponins which form extremely viscoelastic surface layers; and (3) The main phenomena in emulsions, for which the surface

**phase**

**transitions**are important. The overall conclusion from the reviewed literature is that surface

**phase**

**transitions**could be used as a powerful tool to control many foam and emulsion properties, but we need deeper understanding of the underlying phenomena to explore fully these opportunities.

9/10 relevant

arXiv