arXiv subjects

Andres F. Ordonez

Publications and source records attributed to Andres F. Ordonez.

17 recordsLinked to original sources

arXiv2026

Enantiosensitive molecular compass

Chirality describes the asymmetry between an object and its mirror image and underlies diverse functionalities across molecular, mesoscopic and bulk matter. A particularly intriguing example is chirality-induced spin selectivity (CISS), where chiral structures generate enantio-sensitive spin polarization. Despite extensive research, its microscopic origin and unexpectedly large magnitude remain unresolved. Here, we isolate the intrinsic coupling between chirality and spin by considering spin-resolved photoionization of randomly oriented chiral molecules under isotropic illumination. We show that electric-dipole photoionization in the presence of spin-orbit coupling generates intrinsic correlations between molecular orientation and photoelectron spin that survive complete isotropic averaging. We identify these spin-orientation correlations as the microscopic origin of CISS in photoionization and reveal their complementary manifestation: selecting the photoelectron spin orients the residual molecular ensemble, realizing spin-orientation locking, whereas selecting molecular orientation produces CISS. Both effects are governed by the same correlation strength, set by the magnitude of a molecular-frame photoionization Bloch vector that defines an enantio-sensitive molecular compass. An analogous compass emerges in photoexcitation. Our results establish spin - orientation correlations as a fundamental ingredient of chiral spin photodynamics and provide a microscopic framework for understanding and exploiting spin selectivity in chiral matter.

cond-mat.mes-hall↗

arXiv2026

Spin-current correlations in photoionization of chiral molecules

Chirality-induced spin selectivity (CISS) refers to phenomena where molecular chirality governs spin polarization. While symmetry simply requires chiral molecules to support spin-vector correlations, we show that CISS is fundamentally a conditioned measurement of these correlations. We illustrate this principle for spin-resolved one-photon ionization of a randomly oriented ensemble of chiral molecules. We introduce and quantify the phenomenon of enantio-sensitive locking of the photoelectron current to its spin, thereby providing a complete description of spin-conditioned photoelectron currents in one-photon ionization.

quant-ph↗

arXiv2026

Geometric mechanisms enabling spin- and enantio-sensitive observables in one photon ionization of chiral molecules

We examine spin-resolved photoionization of randomly oriented chiral molecules via circularly polarized light, and revisit earlier predictions of Cherepkov (J. Phys. B: Atom. Mol. Phys. 16, 1543, 1983). We will show that the dynamical origin of spin- and enantio-sensitive observables arise from two intrinsic mechanisms that are quantified by two pseudovectors stemming from the geometric properties of the photoionization dipoles in spin space and in real space, and an extrinsic mechanism which is a directional bias introduced by the well-defined direction of light polarization. These mechanisms arise solely from electric dipole interactions. Consequently, this means that the ten independent parameters that was earlier predicted by Cherepkov to fully describe spin-resolved photoionization of chiral molecules can be reduced as moments of these three pseudovectors. We also find that the molecular pseudoscalars describing the spin- and enantio-sensitive components of the yield can be described by the flux of these pseudovectors through the energy shell, which changes sign upon switching enantiomers. Our results provide compact expressions for these observables which provide an intuitive picture on what determines the strength of these spin- and enantio-sensitive observables. The approach can be readily generalized to photoexcitation, multiphoton processes, and arbitrary field polarizations. Regardless of the specific driving conditions, the resulting spin- and enantio-sensitive observables are still controlled by the same three pseudovectors, underscoring their universal role as the primary generators of chirality-induced spin asymmetries, emphasizing their fundamental geometric origin and the universality of the mechanism identified here.

physics.atom-ph↗

arXiv2025

Geometry of chiral temporal structures I: Physical effects

In non-relativistic physics, the concepts of geometry and topology are usually applied to characterize spatial structures or structures in momentum space. We introduce the concept of temporal geometry, which encompasses the geometric and topological properties of temporal shapes, i.e. trajectories traced by the tip of a time-dependent vector in vector space. We apply it to vectors describing ultrafast electron currents or induced polarization in chiral molecules. The central concepts of temporal geometry - Berry curvature and Berry connection - emerge as ubiquitous features of photoexcited, non-equilibrium, chiral electron dynamics. We demonstrate that the Berry curvature and Berry connection (i) rely on the polarization properties of light pulses, (ii) can be introduced for multiphoton processes, and (iii) control enantio-sensitive geometric observables via non-equilibrium electronic dynamics excited by tailored laser fields. Our findings may open a way to ultrafast, topologically non-trivial, and enantio-sensitive chemical dynamics.

quant-ph↗

arXiv2025

Geometry of chiral temporal structures II: The formalism

We develop a mathematical formalism underlying the emergence of enantio-sensitive molecular orientation due to photoionization or photoexitation of chiral molecules. We consider geometric quantities such as the Berry connection and Berry curvature in light-driven chiral electronic states in the space of complex light polarization vectors. The parametric dependence of the light-driven electronic wavefunction on such vectors emerges due to various possible mutual orientations between the laser field and a chiral molecule. Using the tools of differential geometry we show how the enantio-sensitive observables emerge from the geometry of the molecular response in such spaces.

quant-ph↗

arXiv2024

Capturing electron-driven chiral dynamics in UV-excited molecules

Molecular chirality is a key design property for many technologies including bioresponsive imaging, circularly polarized light detection and emission, molecular motors and switches. Imaging and manipulating the primary steps of transient chirality is therefore central for controlling numerous physical, chemical and biological properties that arise from chiral molecules in response to external stimuli. So far, the manifestation of electron-driven chiral dynamics in neutral molecules has not been demonstrated at their intrinsic timescale. Here, we use time-resolved photoelectron circular dichroism (TR-PECD) with an unprecedented instrument response function of 2.9 fs to image the dynamics of coherent electronic motion activated by prompt UV-excitation in neutral chiral molecules, disclosing its impact on the molecular chiral response. We find that electronic beatings between Rydberg states lead to periodic modulations of the chiroptical response on the few-femtosecond timescale, showing a sign inversion in less than 10 fs. Calculations including both the molecular UV-excitation and subsequent photoionization confirm this interpretation and provide further evidence that the combination of the resulting photoinduced chiral current with a circularly polarized probe pulse realizes an enantio-selective filter of molecular orientations upon photoionization, opening up a route towards enantio-selective charge-directed reactivity.

physics.chem-ph↗

arXiv2022

Ultrafast chirality: the road to efficient chiral measurements

Today we are witnessing the electric-dipole revolution in chiral measurements. Here we reflect on its lessons and outcomes, such as the perspective on chiral measurements using the complementary principles of "chiral reagent" and "chiral observer", the hierarchy of scalar, vectorial and tensorial observables, the new properties of the chiro-optical response in the ultrafast and non-linear domains, and the geometrical magnetism associated with the chiral response in photoionization. The electric-dipole revolution is a landmark event. It has opened routes to extremely efficient enantio-discrimination with a family of new methods. These methods are governed by the same principles but work in vastly different regimes -- from microwaves to optical light; they address all molecular degrees of freedom -- electronic, vibrational and rotational, and use flexible detection schemes, i.e. detecting photons or electrons, making them applicable to different chiral phases, from gases to liquids to amorphous solids. The electric-dipole revolution has also enabled enantio-sensitive manipulation of chiral molecules with light. This manipulation includes exciting and controlling ultrafast helical currents in vibronic states of chiral molecules, enantio-sensitive control of populations in electronic, vibronic and rotational molecular states, and opens the way to efficient enantio-separation and enantio-sensitive trapping of chiral molecules. The word "perspective" has two meanings: "outlook" and "point of view". In this perspective article, we have tried to cover both meanings.

physics.optics↗

arXiv2021

Geometric fields and new enantio-sensitive observables in photoionization of chiral molecules

Chiral molecules are instrumental for molecular recognition in living organisms. Distinguishing between two opposite enantiomers, the mirror twins of the same chiral molecule, is both vital and challenging. Photoelectron circular dichroism (PECD), an extremely sensitive probe of molecular chirality via photoionization, outperforms standard optical methods by many orders of magnitude. Here we show that the physical origin of PECD in chiral molecules is linked to the concept of geometric magnetism, which enables a broad class of phenomena in solids including the anomalous electron velocity, the Hall effect, and related topological phenomena. We uncover the geometric field in molecular photoionization, which leads to a new class of enantio-sensitive observables emerging due to ultrafast excitation of chiral electronic or vibronic currents prior to ionization. Next, we introduce the first member of this new class: enantio-sensitive orientation of chiral molecules via photoionization. This effect opens new routes to both enantio-separation and imaging of chiral dynamics on ultrafast time scales. Our work suggests that geometric fields in photoionization provide the bridge between the two geometrical properties, chirality and topology.

physics.chem-ph↗

arXiv2021

Propensity rules for photoelectron circular dichroism in strong field ionization of chiral molecules

Chiral molecules ionized by circularly polarized fields produce a photoelectron current orthogonal to the polarization plane. This current has opposite directions for opposite enantiomers and provides an extremely sensitive probe of molecular handedness. Recently, such photoelectron currents have been measured in the strong-field ionization regime, where they may serve as an ultrafast probe of molecular chirality. Here we provide a mechanism for the emergence of such strong-field photoelectron currents in terms of two propensity rules that link the properties of the initial electronic chiral state to the direction of the photoelectron current.

physics.atom-ph↗

arXiv2021

Giant chiro-optical response in high harmonic generation

High harmonic generation (HHG) records the ultrafast electronic response of matter to light, encoding key properties of the interrogated quantum system, such as chirality. The first implementation of chiral HHG [Cireasa et al. Nat. Phys. 11, 654 (2015)] relied on the weak electronic response of a medium of randomly oriented chiral molecules to the magnetic component of an elliptically polarized wave, yielding relatively weak chiro-optical signals. Here we show that elliptically polarized light can drive a strong chiral response in chiral molecules via purely electric-dipole interactions -- the magnetic component of the wave does not participate at all. This giant chiro-optical response, which remains hidden in standard HHG experiments, can be mapped into the macroscopic far-field signal using a non-collinear configuration, creating new opportunities for bringing the electric-dipole "revolution" to HHG.

physics.optics↗

arXiv2020

On the molecular information revealed by photoelectron angular distributions of isotropic samples

We propose an alternative approach to the description and analysis of photoelectron angular distributions (PADs) resulting from isotropic samples in the case of few-photon absorption via electric fields of arbitrary polarization. As we demonstrate for the one- and two-photon cases, this approach reveals the molecular frame information encoded in the $b_{l,m}$ expansion coefficients of the PAD in a particularly clear way. Our approach does not rely on explicit partial wave expansions of the scattering wave function and the expressions we obtain are therefore interpreted in terms of the vector field structure of the photoionization dipole $\vec{D}(\vec{k})$ as a function of the photoelectron momentum $\vec{k}$. This provides very compact expressions that reveal how molecular rotational invariants couple to the setup (electric field polarization and detectors) rotational invariants. We rely heavily on this approach in a companion paper on tensorial chiral setups. Here we apply this approach to one-photon ionization and find that while $b_{0,0}$ depends only on the magnitude of $\vec{D}(\vec{k})$, $b_{1,0}$ (non-zero for chiral molecules) is sensitive only to the components of $\vec{D}(\vec{k})$ perpendicular to $\vec{k}$ encoded in the propensity field $\vec{B}(\vec{k})\equiv i\vec{D}^{*}(\vec{k})\times\vec{D}(\vec{k})$, and $b_{2,0}$ is sensitive only to the the component of $\vec{D}(\vec{k})$ along $\vec{k}$. We also analyze the resonantly enhanced two-photon case where we show that $b_{0,0}$ and $b_{1,0}$ can be written in terms of an effectively stretched $\vec{D}(\vec{k})$, and that $b_{1,0}$ and $b_{3,0}$ reveal structural information of the field $\vec{B}(\vec{k})$ encoded in three of its vector spherical harmonic expansion coefficients.

physics.atom-ph↗

arXiv2020

Disentangling enantiosensitivity from dichroism using bichromatic fields

We discuss how tensorial observables, available in photoelectron angular distributions resulting from interaction between isotropic chiral samples and cross polarized $ω$-$2ω$ bichromatic fields, allow for chiral discrimination without chiral light and within the electric-dipole approximation. We extend the concept of chiral setup [Phys. Rev. A 98, 063428 (2018)], which explains how chiral discrimination can be achieved in the absence of chiral light, to the case of tensorial observables. We derive selection rules for the enantiosensitivity and dichroism of the $b_{l,m}$ coefficients describing the photoelectron angular distribution valid for both weak and strong fields and for arbitrary $ω$-$2ω$ relative phase. Explicit expressions for simple perturbative cases are given. We find that, besides the dichroic non-enantiosensitive [J. Chem. Phys. 151 074106 (2019)], and dichroic-and-enantiosensitive $b_{l,m}$ coefficients found recently [Phys. Rev. A 99, 063406 (2019)], there are also enantiosensitive non-dichroic $b_{l,m}$ coefficients. These reveal the molecular enantiomer independently of the relative phase between the two colors and are therefore observable even in the absence of stabilization of the $ω$-$2ω$ relative phase.

physics.atom-ph↗

arXiv2020

Inducing enantiosensitive permanent multipoles in isotropic samples with two-color fields

We find that two-color fields can induce field-free permanent dipoles in initially isotropic samples of chiral molecules via resonant electronic excitation in a one-$3ω$-photon vs. three-$ω$-photons scheme. These permanent dipoles are enantiosensitive and can be controlled via the relative phase between the two colors. When the two colors are linearly polarized perpendicular to each other, the interference between the two pathways induces excitation sensitive to the molecular handedness and orientation, leading to uniaxial orientation of the excited molecules and to an enantio-sensitive permanent dipole perpendicular to the polarization plane. We also find that although a corresponding one-$2ω$-photon vs. two-$ω$-photons scheme cannot produce enantiosensitive permanent dipoles, it can produce enantiosensitive permanent quadrupoles that are also controllable through the two-color relative phase.

physics.atom-ph↗

arXiv2019

Propensity rules in photoelectron circular dichroism in chiral molecules I: Chiral hydrogen

Photoelectron circular dichroism results from one-photon ionization of chiral molecules by circularly polarized light and manifests itself in forward-backward asymmetry of electron emission in the direction orthogonal to the light polarization plane. What is the physical mechanism underlying asymmetric electron ejection? How "which way" information builds up in a chiral molecule and maps into forward-backward asymmetry? We introduce instances of bound chiral wave functions resulting from stationary superpositions of states in a hydrogen atom and use them to show that the chiral response in one-photon ionization of aligned molecular ensembles originates from two propensity rules: (i) Sensitivity of ionization to the sense of electron rotation in the polarization plane. (ii) Sensitivity of ionization to the direction of charge displacement or stationary current orthogonal to the polarization plane. In the companion paper we show how the ideas presented here are part of a broader picture valid for all chiral molecules and arbitrary degrees of molecular alignment.

physics.atom-ph↗

arXiv2019

Propensity rules in photoelectron circular dichroism in chiral molecules II: General picture

Photoelectron circular dichroism results from one-photon ionization of chiral molecules by circularly polarized light and manifests itself in forward-backward asymmetry of electron emission in the direction orthogonal to the light polarization plane. To expose the physical mechanism responsible for asymmetric electron ejection, we first establish a rigorous relation between the responses of unaligned and partially or perfectly aligned molecules. Next, we identify a propensity field, which is responsible for the chiral response in the electric-dipole approximation, i.e. a chiral response without magnetic interactions. We find that this propensity field, up to notations, is equivalent to the Berry curvature in a two-band solid. The propensity field directly encodes optical propensity rules, extending our conclusions regarding the role of propensity rules in defining the sign of forward-backward asymmetry from the specific case of chiral hydrogen to generic chiral systems. Optical propensity rules underlie the chiral response in photoelectron circular dichroism. The enantiosensitive flux of the propensity field through the sphere in momentum space determines the forward-backward asymmetry in unaligned molecules and suggests a geometrical origin of the chiral response. This flux has opposite sign for opposite enantiomers and vanishes for achiral molecules.

physics.atom-ph↗

arXiv2019

Locally and globally chiral fields for ultimate control of chiral light matter interaction

Light is one of the most powerful and precise tools allowing us to control, shape and create new phases of matter. In this task, the magnetic component of a light wave has so far played a unique role in defining the wave's helicity, but its influence on the optical response of matter is weak. Chiral molecules offer a typical example where the weakness of magnetic interactions hampers our ability to control the strength of their chiral optical response. It is limited several orders of magnitude below the full potential. Here we introduce freely propagating locally and globally chiral electric fields, which interact with chiral quantum systems extremely efficiently. To demonstrate the degree of control enabled by such fields, we focus on the nonlinear optical response of randomly oriented chiral molecules. We show full control over intensity, polarization and propagation direction of the chiral optical response, enabling its background-free detection. This response can be fully suppressed or enhanced at will depending on the molecular handedness, achieving the ultimate limit in chiral discrimination. Our findings open a way to extremely efficient control of chiral matter and to ultrafast imaging of chiral structure and dynamics in gases, liquids and solids.

physics.optics↗

arXiv2018

Generalized perspective on chiral measurements without magnetic interactions

We present a unified description of several methods of chiral discrimination based exclusively on electric-dipole interactions. It includes photoelectron circular dichroism (PECD), enantio-sensitive microwave spectroscopy (EMWS), photoexcitation circular dichroism (PXCD), and photoelectron-photoexcitation circular dichroism (PXECD). We show that, in spite of the fact that the physics underlying the appearance of a chiral response is very different in all these methods, the enantio-sensitive and dichroic observable in all cases has a unique form. It is a polar vector given by the product of (i) a molecular pseudoscalar and (ii) a field pseudovector specified by the configuration of the electric fields interacting with the isotropic ensemble of chiral molecules. The molecular pseudoscalar is a rotationally invariant property, which is composed from different molecule-specific vectors and in the simplest case is a triple product of such vectors. The key property that enables the chiral response is the non-coplanarity of the vectors forming such triple product. The key property that enables chiral detection without relying on the chirality of the electromagnetic fields is the vectorial nature of the enantio-sensitive observable. Our compact and general expression for this observable shows what ultimately determines the efficiency of the chiral signal and if, or when, it can reach 100%. We also discuss the differences between the two phenomena, which rely on the bound states, PXCD and EMWS, and the two phenomena using the continuum states, PECD and PXECD. Finally, we extend these methods to arbitrary polarizations of the electric fields used to induce and probe the chiral response.

physics.atom-ph↗