Information scrambling and entanglement dynamics in Floquet Time Crystals

We study the dynamics of out-of-time-ordered correlators (OTOCs) andentanglement of entropy as quantitative measures of information propagation indisordered many-body systems exhibiting Floquet time-crystal (FTC) phases. Wefind that OTOC spreads in the FTC with different characteristic timescales dueto the existence of a preferred ``quasi-protected'' direction - denoted as$\ell$-bit direction - along which the spins stabilize their period-doublingmagnetization for exponentially long times. While orthogonal to this directionthe OTOC thermalizes as an usual MBL time-independent system (at stroboscopictimes), along the $\ell$-bit direction the system features a more complexstructure. The scrambling appears as a combination of an initially frozendynamics (while in the stable period doubling magnetization time window) and alater logarithmic slow growth (over its decoherence regime) till fullthermalization. Interestingly, in the late time regime, since the wavefrontpropagation of correlations has already settled through the whole chain,scrambling occurs at the same rate regardless of the distance between thespins, thus resulting in an overall envelope-like structure of all OTOCs,independent of their distance, merging into a single growth. Alongside, theentanglement entropy shows a logarithmic growth over all time, reflecting theslow dynamics up to a thermal volume-law saturation.

Addendum: Dielectron production in proton-proton and proton-lead collisions at sNN=5.02TeV

Krylov complexity for non-local spin chains

Building upon recent research in spin systems with non-local interactions,this study investigates operator growth using the Krylov complexity indifferent non-local versions of the Ising model. We find that the non-localityresults in a faster scrambling of the operator to all sites. While thesaturation value of Krylov complexity of local integrable and local chaotictheories differ by a significant margin, this difference is much suppressedwhen non-local terms are introduced in both regimes. This results from thefaster scrambling of information in the presence of non-locality. In addition,we investigate the behavior of level statistics and spectral form factor asprobes of quantum chaos to study the integrability breaking due to non-localinteractions. Our numerics indicate that in the non-local case, late timesaturation of Krylov complexity distinguishes between different underlyingtheories, while the early time complexity growth distinguishes differentdegrees of non-locality.

Speed limits to the growth of Krylov complexity in open quantum systems

Recently, the propagation of information through quantum many-body systems,developed to study quantum chaos, have found many application from black holesto disordered spin systems. Among other quantitative tools, Krylov complexityhas been explored as a diagnostic tool for information scrambling in quantummany-body systems. We introduce a universal limit to the growth of the Krylovcomplexity in dissipative open quantum systems by utilizing the uncertaintyrelation for non-hermitian operators. We also present the analytical results ofKrylov complexity for characteristic behavior of Lanczos coefficients indissipative systems. The validity of these results are demonstrated by explicitstudy of transverse-field Ising model under dissipative effects.

Can charm fluctuation be a better probe to study QCD critical point?

We study the diffusion properties of an interacting hadron gas and evaluatethe diffusion coefficient matrix for the baryon, strange, electric, and charmquantum numbers. For the first time, this study sheds light on the charmcurrent and estimates the diffusion matrix coefficient for the charmed statesby treating them as a part of the quasi-thermalized medium. We explore thediffusion matrix coefficient as a function of temperature and center-of-massenergy. A van der Waals-like interaction is assumed between the hadrons,including attractive and repulsive interactions. The calculation of diffusioncoefficients is based on relaxation time approximation to the Boltzmanntransport equation. A good agreement with available model calculations isobserved in the hadronic limit. To conclude the study, we discuss, with adetailed explanation, that charm fluctuation is expected to be a better toolfor probing the QCD critical point.

Asymmetric long-lived dark matter and leptogenesis from type-III seesaw framework

We propose a simple model in the type-III seesaw framework to explain theneutrino mass, asymmetric dark matter (ADM), and baryon asymmetry of theUniverse. We extend the standard model with a vector-like singlet lepton($\chi$) and a hypercharge zero scalar triplet ($\Delta$) in addition to threehypercharge zero triplet fermions($\Sigma_i~,i=1,2,3$). A $Z_2$ symmetry isimposed under which $\chi$ and $\Delta$ are odd, while all other particles areeven. As a result, the lightest $Z_2$ odd particle $\chi$ behaves as acandidate of DM. In the early Universe, the $CP$-violating out-of-equilibriumdecay of heavy triplet fermions to the Standard Model lepton ($L$) and Higgs($H$) generate a net lepton asymmetry, while that of triplet fermions to $\chi$and $\Delta$ generate a net asymmetric DM. The lepton asymmetry is converted tothe required baryon asymmetry of the Universe via the electroweak sphalerons,while the asymmetry in $\chi$ remains as a DM relic that we observe today. Weintroduce a singlet scalar $\Phi$, with mass $M_\phi < M_\chi$, which not onlyassists to deplete the symmetric component of $\chi$ through the annihilationprocess: $\bar{\chi} \chi \to \Phi \Phi$ but also paves a path to detect DM$\chi$ at direct search experiments through $\Phi-H$ mixing. The electro-weaksymmetry breaking induces a non-zero vacuum expectation value to $\Delta$,which leads to an unstable asymmetric DM ranging from a few MeV to hundreds ofGeV. We then explore the displaced vertex signatures of the charged componentsof the scalar triplet $\Delta$ at colliders.

Integrating physics inspired features with graph convolution

Thermoelectric effects of an interacting hadron gas in the presence of an external magnetic field

The hot and dense hadronic medium formed during the heavy-ion collisions atthe Relativistic Heavy Ion Collider and Large Hadron Collider energies can showthermoelectric effects in the presence of temperature gradients and nonzerobaryon chemical potential. In this article, we study the thermoelectriccoefficients of an interacting hot and dense hadron gas using the relativisticBoltzmann transport equation under the relaxation time approximation. Wediscuss the thermoelectric properties within different frameworks of hardonresonance gas models. In the presence of an external magnetic field, thethermoelectric coefficients become anisotropic, which leads to Hall-likethermoelectric coefficients, namely Nernst coefficients, along with themagneto-Seebeck coefficients. For the first time, we also estimate the Thomsoncoefficient of the medium, which comes into the picture due to the temperaturedependence of the Seebeck coefficient of the medium. In the context of studyingthe thermoelectric generator performance, we calculate the values of thethermoelectric figure of merit of the medium.

Revisiting the LHC constraints on gauge-mediated supersymmetry breaking scenarios

Generalization of the Central Limit Theorem to Critical Systems: Revisiting Perturbation Theory

The Central Limit Theorem does not hold for strongly correlated stochasticvariables, as is the case for statistical systems close to criticality.Recently, the calculation of the probability distribution function (PDF) of themagnetization mode has been performed with the functional renormalization groupin the case of the three-dimensional Ising model [Balog et al., Phys. Rev.Lett. {\bf 129}, 210602 (2022)]. It has been shown in that article that thereexists an entire family of universal PDFs parameterized by$\zeta=\lim_{L,\xi_\infty\rightarrow\infty} L/\xi_\infty$ which is the ratio ofthe system size $L$ to the bulk correlation length $\xi_{\infty}$ with both thethermodynamic limit and the critical limit being taken simultaneously. We showhow these PDFs or, equivalently, the rate functions which are their logarithm,can be systematically computed perturbatively in the $\epsilon=4-d$ expansion.We determine the whole family of universal PDFs and show that they are in goodqualitative agreement with Monte Carlo data. Finally, we conjecture on how tosignificantly improve the quantitative agreement between the one-loop and thenumerical results.