We study a notion of operator growth known as Krylov complexity in free and interacting massive scalar quantum field theories $d$-dimensions at finite temperature. consider the effects mass, one-loop self-energy due to perturbative interactions, ultraviolet cutoffs continuous momentum space. These deformations change behavior Lanczos coefficients induce such "staggering" former into two families, decrease exponential rate latter, transitions their asymptotic behavior. also discuss relation...

In this work, we investigate spectral complexity and Krylov in quantum billiard systems at finite temperature. We study both circle stadium billiards as paradigmatic examples of integrable nonintegrable quantum-mechanical systems, respectively. show that the saturation value timescale may be used to probe nonintegrability system since find when computed for billiard, it saturates a later compared billiards. This observation is verified different temperatures. Furthermore, position operator...

A bstract We explore spread and spectral complexity in quantum systems that exhibit a transition from integrability to chaos, namely the mixed-field Ising model next-to-nearest-neighbor deformation of Heisenberg XXZ spin chain. corroborate observation presence peak before its saturation, is characteristic feature chaotic systems. find that, general, saturation value post-peak depends not only on statistics Hamiltonian, but also specific state. However, there appears be maximal universal...

A bstract We study out-of-time-order correlators (OTOCs) of rotating BTZ black holes using two different approaches: the elastic eikonal gravity approximation, and Chern-Simons formulations 3-dimensional gravity. Within both methods OTOC is given as a sum contributions, corresponding to left right moving modes. The contributions have Lyapunov exponents, $$ {\lambda}_L^{\pm }=\frac{2\pi }{\beta}\frac{1}{1\mp \ell \Omega} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup>...

A bstract Motivated by the recent connection between pole-skipping phenomena of two point functions and four out-of-time-order correlators (OTOCs), we study pole structure thermal two-point in d -dimensional conformal field theories (CFTs) hyperbolic space. We derive points scalar vector fields three methods (one theoretic holographic methods) confirm that they agree. show leading is related with late time behavior blocks shadow four-point OTOCs.

A bstract We clarify general mathematical and physical properties of pole-skipping points. For this purpose, we analyse scalar vector fields in hyperbolic space. This setup is chosen because it simple enough to allow us obtain analytical expressions for the Green’s function check everything explicitly, while contains all essential features classify points three types (type-I, II, III). Type-I Type-II are distinguished by (limiting) behavior near Type-III can arise at non-integer iω values,...

We use the complexity = action (CA) conjecture to study full-time dependence of holographic in anisotropic black branes. find that time behaviour systems shares a lot similarities with observed isotropic systems. In particular, remains constant for some initial period, and then it starts change so growth rate violates Lloyd's bound at times, approaches this from above later times. Compared same temperature, anisotropy reduces period which is increases complexity. At late times difference...

We review recent developments encompassing the description of quantum chaos in holography. discuss characterization based on late time vanishing out-of-time-order correlators and explain how this is realized dual gravitational description. also connections with spreading entanglement diffusion phenomena.

We study the mutual information between pairs of regions on two asymptotic boundaries maximally extended anisotropic black branes. This quantity characterizes local pattern entanglement thermofield double states which are dual to these geometries. analyze disruption in shock wave geometries and show that velocity plays an important role this phenomenon. Moreover, we compute several chaos-related properties system, such as velocity, butterfly scrambling time. find violate upper bounds...

A bstract We study the scrambling properties of ( d + 1)-dimensional hyperbolic black holes. Using eikonal approximation, we calculate out-of-time-order correlators (OTOCs) for a Rindler-AdS geometry with AdS radius ℓ , which is dual to -dimensional conformal field theory (CFT) in space temperature T = 1 / (2 π ). find agreement between our results OTOCs and previously reported CFT calculations. For more generic holes, compute butterfly velocity two different ways, namely: from shock waves...

A bstract We study the pole-skipping phenomenon within holographic axion theories, a common framework for studying strongly coupled systems with chemical potential ( μ ) and momentum relaxation β ). Considering backreaction characterized by , we encounter equations of motion metric, gauge, field, which are classified into spin-0, spin-1, spin-2 channels. Employing gauge-invariant variables, systematically address these explore points each sector using near-horizon method. Our analysis...

We consider five-dimensional AdS-axion-dilaton gravity with a Gauss-Bonnet term and find solution of the equations motion which corresponds to black brane exhibiting spatial anisotropy, source anisotropy being an axion field linear in one horizon coordinates. Our is static, regular everywhere on outside horizon, asymptotically AdS. It analytic valid small expansion, but fully non-perturbative coupling. discuss various features this use it as dual strongly coupled anisotropic plasma two...

A bstract We use holographic methods to study several chaotic properties of a super Yang-Mills theory at temperature T in the presence background magnetic field constant strength B. The we work on has renormalization flow between fixed point ultraviolet and another infrared, occurring such way that energy which crossover takes place is monotonically increasing function dimensionless ratio ℬ/ 2 . By considering shock waves bulk dual gravitational theory, varying , how chaos-related system...

We study the pole-skipping phenomenon within holographic axion theories, a common framework for studying strongly coupled systems with chemical potential ($\mu$) and momentum relaxation ($\beta$). Considering backreaction characterized by $\mu$ $\beta$, we encounter equations of motion metric, gauge, field, which are classified into spin-0, spin-1, spin-2 channels. Employing gauge-invariant variables, systematically address these explore points each sector using near-horizon method. Our...

We study the effects of conservation laws on wormholes that are made traversable by a double trace deformation. After coupling two asymptotic boundaries maximally extended (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>d</a:mi><a:mo>+</a:mo><a:mn>1</a:mn></a:mrow></a:math>)-dimensional black brane geometry with <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>U</c:mi><c:mo stretchy="false">(</c:mo><c:mn>1</c:mn><c:mo...

We have measured cross sections for the ionization of K shell by electrons with energies from respective thresholds up to 100 keV, Au and Bi. The experimental values are obtained dividing number counts in Kα peak an energy interval near tip bremsstrahlung continuum, multiplying this ratio theoretical estimate emission towards detector interval. Although such a procedure has already been described literature, here it is implemented avoiding some simplifications made earlier works. Our...

We extend the analysis of arXiv:1211.2199, where photon production rate an anisotropic strongly coupled plasma with N f ≪ c massless quarks was considered. allow here for non-vanishing quark masses and study how these affect spectral densities conductivities. also compute another important probe plasma, dilepton rate. consider generic angles between direction wave vectors, as well arbitrary values anisotropy parameter. Generically, increases both photons dileptons, compared isotropic at same...

We report on the efficiency calibration of a HPGe x-ray detector using radioactive sources and an analytical expression taken from literature, in two different arrangements, with without broad-angle collimator. The frontal surface Ge crystal was scanned pencil beams photons. dead layer found to be nonuniform, central intermediate regions that have thin (μm range) thick (mm layers, respectively, surrounded by insensitive ring. discuss how this fact explains observed curves generalize adopted...

A bstract Holographic theories with classical gravity duals are maximally chaotic: they saturate a set of bounds on the spread quantum information. In this paper we question whether non-locality can affect such bounds. Specifically, consider dual prototypical theory non-local interactions, namely, $$ \mathcal{N}=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>4</mml:mn> </mml:math> non-commutative super Yang Mills. We construct shock...

An important transport coefficient in the study of non-Abelian plasmas is Chern-Simons diffusion rate, which parametrizes rate transition among degenerate vacua a gauge theory. We compute this quantity at strong coupling, via holography, using two theories gravity with higher curvature corrections, namely Gauss-Bonnet and quasitopological gravity. find that these corrections may either increase or decrease result obtained from Einstein's gravity, depending on value couplings. The for...

A bstract We construct worldsheet traversable wormholes by considering the effects of a double-trace deformation, $$ \delta \mathcal{L}\sim h\partial {\phi}_L\partial {\phi}_R <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>δ</mml:mi> <mml:mi>L</mml:mi> <mml:mo>∼</mml:mo> <mml:mi>h</mml:mi> <mml:mi>∂</mml:mi> <mml:msub> <mml:mi>ϕ</mml:mi> </mml:msub> <mml:mi>R</mml:mi> </mml:math> , coupling endpoints an open string in AdS space. The operator deforming theory is irrelevant...

The first accelerating structures of the São Paulo microtron accelerator presently deliver a continuous‐wave 1.9 MeV electron beam, which can be used in atomic physics studies. An energy‐analyzed beam line with focalization magnets, irradiation chamber, movable target system and Faraday cup was built. Here, we will describe preliminary results two experiments. In one, upper limits on K‐shell ionization cross sections Pd Au atoms by impact were obtained. To this end, thin targets these...

We consider five-dimensional AdS-axion–dilaton gravity with a Gauss–Bonnet term and use black brane solution displaying spatial anisotropy as the dual of strongly coupled anisotropic plasma. compute several observables relevant to study plasma, namely, drag force, jet quenching parameter, quarkonium potential, thermal photon production. The effects higher derivative corrections are discussed compared previous results.

A bstract We study higher-dimensional traversable wormholes in the context of Rindler-AdS/CFT. The hyperbolic slicing a pure AdS geometry can be thought as topological black hole that is dual to conformal field theory space. maximally extended contains two exterior regions (the Rindler wedges AdS) which are connected by wormhole. show this wormhole made double trace deformation violates average null energy condition (ANEC) bulk. find an analytic formula for ANEC violation generalizes...

We explore quantum phase transitions using two probes of chaos: out-of-time-order correlators (OTOCs) and the $r$-parameter obtained from level spacing statistics. In particular, we address $p$-spin models associated with annealing or reverse annealing. Quantum triggers first-order second-order transitions, which is crucial for performance devices. find that time-averaging OTOCs ground state average change behavior around corresponding transition points, diagnosing transition. Furthermore,...