Controlling the quantum stereodynamics of ultracold bimolecular reactions

Abstract

Chemical reaction rates often depend strongly on stereodynamics, namely the orientation and movement of molecules in three-dimensional space. An ultracold molecular gas, with a temperature below 1 uK, provides a highly unusual regime for chemistry, where polar molecules can easily be oriented using an external electric field and where, moreover, the motion of two colliding molecules is strictly quantized. Recently, atom-exchange reactions were observed in a trapped ultracold gas of KRb molecules. In an external electric field, these exothermic and barrierless bimolecular reactions, KRb+KRb -> K2+Rb2, occur at a rate that rises steeply with increasing dipole moment. Here we show that the quantum stereodynamics of the ultracold collisions can be exploited to suppress the bimolecular chemical reaction rate by nearly two orders of magnitude. We use an optical lattice trap to confine the fermionic polar molecules in a quasi-two-dimensional, pancake-like geometry, with the dipoles oriented along the tight confinement direction. With the combination of sufficiently tight confinement and Fermi statistics of the molecules, two polar molecules can approach each other only in a "side-by-side" collision, where the chemical reaction rate is suppressed by the repulsive dipole-dipole interaction. We show that the suppression of the bimolecular reaction rate requires quantum-state control of both the internal and external degrees of freedom of the molecules. The suppression of chemical reactions for polar molecules in a quasi-two-dimensional trap opens the way for investigation of a dipolar molecular quantum gas. Because of the strong, long-range character of the dipole-dipole interactions, such a gas brings fundamentally new abilities to quantum-gas-based studies of strongly correlated many-body physics, where quantum phase transitions and new states of matter can emerge.

19 pages, 4 figures

References in corpus (11)

• A High Phase-Space-Density Gas of Polar Molecules
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Reactions of ultracold alkali metal dimers
• Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
• Quantum fluids of self-assembled chains of polar molecules
• Universal rates for reactive ultracold polar molecules in reduced dimensions
• Strong dependence of ultracold chemical rates on electric dipole moments
• Cold heteromolecular dipolar collisions
• Dynamics of ultracold molecules in confined geometry and electric field
• Electric field suppression of ultracold confined chemical rates

Cited by in corpus (302)

• Realizing a lattice spin model with polar molecules
• Condensed Matter Theory of Dipolar Quantum Gases
• Quantum Simulators: Architectures and Opportunities
• Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state
• Ultracold Dipolar Gas of Fermionic ${}^{23}$Na${}^{40}$K Molecules in their Absolute Ground State
• Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
• Creation of ultracold ${}^{87}$RbCs molecules in the rovibrational ground state
• Dipolar physics: A review of experiments with magnetic quantum gases
• Quantum control of molecular rotation
• Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
• Manipulation of Molecules with Electromagnetic Fields
• Many-body Localization with Dipoles
• Long-lived dipolar molecules and Feshbach molecules in a 3D optical lattice
• New frontiers with quantum gases of polar molecules
• Building one molecule from a reservoir of two atoms
• Creation of a low-entropy quantum gas of polar molecules in an optical lattice
• Many-body dynamics of dipolar molecules in an optical lattice
• Reaching Fermi degeneracy via universal dipolar scattering
• A quantum many-body spin system in an optical lattice clock
• Quantum Magnetism with Polar Alkali Dimers
• Roadmap on STIRAP applications
• Suppressing the loss of ultracold molecules via the continuous quantum Zeno effect
• Ultracold molecules for quantum simulation: rotational coherences in CaF and RbCs
• Microwave shielding of ultracold polar molecules
• Direct probe of anisotropy in atom-molecule collisions via quantum scattering resonances
• Resonant collisional shielding of reactive molecules using electric fields
• Topological phases in ultracold polar-molecule quantum magnets
• Emergence of chaotic scattering in ultracold Er and Dy
• Stable dilute supersolid of two-dimensional dipolar bosons
• Photo-induced two-body loss of ultracold molecules
• Spatially-controlled complex molecules and their applications
• Design for a fountain of YbF molecules to measure the electron's electric dipole moment
• Dipolar evaporation of reactive molecules to below the Fermi temperature
• Observation of Collisions between Two Ultracold Ground-State CaF Molecules
• Far from equilibrium quantum magnetism with ultracold polar molecules
• Formation of Ultracold Fermionic NaLi Feshbach Molecules
• Quantum state manipulation and cooling of ultracold molecules
• Anisotropic Polarizability of Ultracold Polar ${}^{40}$K${}^{87}$Rb Molecules
• Tuning of dipolar interactions and evaporative cooling in a three-dimensional molecular quantum gas
• Bimolecular chemistry in the ultracold regime
• Three-Body Interacting Bosons in Free Space
• Ultracold Dipolar Molecules Composed of Strongly Magnetic Atoms
• Alignment of D-state Rydberg molecules
• Strongly interacting ultracold polar molecules
• Dynamics of gas phase Ne${}^{\ast }$ + NH${}_3$ and Ne${}^{\ast }$ + ND${}_3$ Penning ionization at low temperatures
• Dipolar Stabilization of an Attractive Bose Gas in a One Dimensional Lattice
• Universal ultracold collision rates for polar molecules of two alkali-metal atoms
• Can many-body localization persist in the presence of long-range interactions or long-range hopping?
• Self-bound dipolar droplets and supersolids in molecular Bose-Einstein condensates
• Synthetic dimensions in ultracold molecules: quantum strings and membranes
• Universal Machine Learning for the Response of Atomistic Systems to External Fields
• Molecular spectroscopy for ground-state transfer of ultracold RbCs molecules
• Ultracold Gas of Dipolar NaCs Ground State Molecules
• Atomic Bose-Einstein condensate to molecular Bose-Einstein condensate transition
• Controlling a quantum gas of polar molecules in an optical lattice
• Magnetic Trapping of Molecules via Optical Loading and Magnetic Slowing
• Density instabilities in a two-dimensional dipolar Fermi gas
• Kitaev honeycomb and other exotic spin models with polar molecules
• Quantum reactive scattering of ultracold NH($X{}^3{\Sigma }^{-}$) radicals in a magnetic trap
• Remote entanglement via adiabatic passage using a tunably-dissipative quantum communication system
• Universalities in ultracold reactions of alkali polar molecules
• Microwave shielding of bosonic NaRb molecules
• Adimensional theory of shielding in ultracold collisions of dipolar rotors
• BCS-BEC Crossover in Bilayers of Cold Fermionic Polar Molecules
• Quantum theory of reactive collisions for 1/r^n potentials
• Collective modes, stability and superfluid transition of a quasi-two-dimensional dipolar Fermi gas
• Formation of Ultracold NaRb Feshbach Molecules
• Tuning ultracold collisions of excited rotational dipolar molecules
• Observation of Feshbach resonances between ultracold Na and Rb atoms
• Non-Abelian Fractional Chern Insulators from Long-Range Interactions
• Ultracold spin-polarized mixtures of 2Sigma molecules with S-state atoms: Collisional stability and implications for sympathetic cooling
• Ab initio properties of Li-Group-II molecules for ultracold matter studies
• Hyperfine structure of alkali-metal diatomic molecules
• Analytic Harmonic Approach to the N-body problem
• Anisotropic optical trapping of ultracold erbium atoms
• Model independence in two dimensions and polarized cold dipolar molecules
• Reactions Between Layer-Resolved Molecules Mediated by Dipolar Exchange
• Chemical reactions of ultracold alkali-metal dimers in the lowest-energy ${}^3\Sigma$ state
• Dynamical generation of spin squeezing in ultra-cold dipolar molecules
• Storage and Adiabatic Cooling of Polar Molecules in a Microstructured Trap
• Roton confinement in trapped dipolar Bose-Einstein condensates
• Long-range interactions between polar alkali-metal diatoms in external electric fields
• State-selected ion-molecule reactions with Coulomb-crystallized molecular ions in traps
• High-resolution Internal State Control of Ultracold ${}^{23}$Na${}^{87}$Rb Molecules
• Tuning bimolecular chemical reactions by electric fields
• Highly polar molecules consisting of a copper or silver atom interacting with an alkali-metal or alkaline-earth-metal atom
• Efficient production of long-lived ultracold Sr${}_2$ molecules
• Study of the Ne(^3P_2) + CH_3F Electron Transfer Reaction below 1 Kelvin
• A Simple, Versatile Laser System for the Creation of Ultracold Ground State Molecules
• AC Stark Effect in Ultracold Polar RbCs Molecules
• Density Waves in Layered Systems with Fermionic Polar Molecules
• Trimer liquids and crystals of polar molecules in coupled wires
• Theory of long-range ultracold atom-molecule photoassociation
• Novel Fermi Liquid of 2D Polar Molecules
• Correlation effects and collective excitations in bosonic bilayers: role of quantum statistics, superfluidity and dimerization transition
• Diatomic molecules of alkali-metal and alkaline-earth-metal atoms: interaction potentials, dipole moments, and polarizabilities
• Two-body relaxation in a Fermi gas at a p-wave Feshbach resonance
• Atom-molecule collisions, spin relaxation, and sympathetic cooling in an ultracold spin-polarized Rb(${}^2\mathrm{S}$)-SrF${(}^2{\Sigma }^{+})$ mixture
• Complete quantum coherent control of ultracold molecular collisions
• Statistical product distributions for ultracold reactions in external fields
• Mixing, demixing, and structure formation in a binary dipolar Bose-Einstein condensate
• Energetics and control of ultracold isotope-exchange reactions between heteronuclear dimers in external fields
• Non-adiabatic preparation of spin crystals with ultracold polar molecules
• Quantum droplets of quasi-one-dimensional dipolar Bose-Einstein condensates
• Few-Body Bound Complexes in One-dimensional Dipolar Gases and Non-Destructive Optical Detection
• The role of anisotropy in dipolar bosons in triple-well potentials
• Ab initio properties of the NaLi molecule in the $a^3{\Sigma }^{+}$ electronic state
• Density wave instabilities of tilted fermionic dipoles in a multilayer geometry
• Phases of dipolar bosons in a bilayer geometry
• Controlling magnetic Feshbach resonances in polar open-shell molecules with non-resonant light
• Novel $p$-wave superfluids of fermionic polar molecules
• The effect of anisotropy of long-range hopping on localization in three-dimensional lattices
• Mass-imbalanced Three-Body Systems in Two Dimensions
• Dipolar-Induced Resonance for Ultracold Bosons in a Quasi-1D Optical Lattice
• Reaction kinetics of ultracold molecule-molecule collisions
• Production and characterization of a dual species magneto-optical trap of cesium and ytterbium
• Quantum Phases of Dipolar Bosons in Bilayer Geometry
• Bound states of Dipolar Bosons in One-dimensional Systems
• Few-body bound state stability of dipolar molecules in two dimensions
• Rydberg atom mediated polar molecule interactions: a tool for molecular-state conditional quantum gates and individual addressability
• Two-dimensional Bose gas of tilted dipoles: roton instability and condensate depletion
• Supersolid in a one-dimensional model of hard-core bosons
• Ultracold nonreactive molecules in an optical lattice: connecting chemistry to many-body physics
• Preparation of one ${}^{87}$Rb and one ${}^{133}$Cs atom in a single optical tweezer
• Analytic solutions of topologically disjoint systems
• Quantum phases of 1D Hubbard models with three- and four-body couplings
• Magnetically tunable Feshbach resonances in Li+Er
• Quantitative analysis of $p$-wave three-body losses via cascade process
• Quantum defect model of a reactive collision at finite temperature
• Evaporative cooling of reactive polar molecules confined in a two-dimensional geometry
• Steering ultracold reactions through long-lived transient intermediates
• Merged-Beams for Slow Molecular Collision Experiments
• Long-range and frustrated spin-spin interactions in crystals of cold polar molecules
• Strings of ultracold molecules in a synthetic dimension
• Theoretical description of adiabatic laser alignment and mixed-field orientation: the need for a non-adiabatic model
• Direct frequency comb laser cooling and trapping
• Feshbach resonances, molecular bound states and prospects of ultracold molecule formation in mixtures of ultracold K and Cs
• Universal probability distributions of scattering observables in ultracold molecular collisions
• Collective excitations of quasi-two-dimensional trapped dipolar fermions: transition from collisionless to hydrodynamic regime
• Raman Sideband Cooling of Molecules in an Optical Tweezer Array
• Molecular Collisions: from Near-cold to Ultra-cold
• Vortex patterns and the critical rotational frequency in rotating dipolar Bose-Einstein condensates
• Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint
• Layers of Cold Dipolar Molecules in the Harmonic Approximation
• Collisional losses of ultracold molecules due to intermediate complex formation
• A versatile dual-species Zeeman slower for caesium and ytterbium
• Bose-Einstein Condensation and Many-Body Localization of Rotational Excitations of Polar Molecules
• Inelastic collisions of ultracold triplet Rb${}_{\text{2}}$ molecules in the rovibrational ground state
• Anisotropic blockade using pendular Rydberg butterfly molecules
• Ultracold molecular collisions in combined electric and magnetic fields
• Fragmented-condensate solid of dipolar excitons
• Properties of the density-wave phase of a two-dimensional dipolar Fermi gas
• Extended Bose Hubbard model for two leg ladder systems in artificial magnetic fields
• Fixed-node diffusion Monte Carlo study of the BCS-BEC crossover in a bilayer system of fermionic dipoles
• Many-body localization in long range model: Real space renormalization group study
• Microwave state transfer and adiabatic dynamics of magnetically trapped polar molecules
• Probing the axis alignment of an ultracold spin-polarized ${\text{Rb}}_2$ molecule
• Probing ultracold chemistry using ion spectrometry
• Polar molecule reactive collisions in quasi-1D systems
• Controlling ultracold chemical reactions via Rydberg-dressed interactions
• Long range forces between polar alkali diatoms aligned by external electric fields
• Electro-association of ultracold dipolar molecules into tetramer field-linked states
• Threshold resonance effects in reactive processes
• Finite temperature stability of a trapped dipolar Bose gas
• Two interacting ultracold molecules in a one-dimensional harmonic trap
• Controllable binding of polar molecules and meta-stability of 1-D gases with attractive dipole forces
• On the use of stereodynamical effects to control cold chemical reactions: the H + D${}_2⟷$ D + HD case study
• Interorbital Interactions in an SU(2)xSU(6)-Symmetric Fermi-Fermi Mixture
• Interspecies collision-induced losses in a dual species 7Li-85Rb magneto-optical trap
• Two dimensional dipolar scattering with a tilt
• Shielding collisions of ultracold CaF molecules with static electric fields
• Two-dimensional dipolar bosons with weak disorder
• Ab Initio Study of Chemical Reactions of Cold SrF and CaF Molecules with Alkali-Metal and Alkaline-Earth-Metal Atoms
• Anisotropic quantum scattering in two dimensions
• Total angular momentum representation for atom-molecule collisions in electric fields
• Correlations and enlarged superconducting phase of $t$-$J_{\perp }$ chains of ultracold molecules on optical lattices
• Microscopic derivation of multi-channel Hubbard models for ultracold nonreactive molecules in an optical lattice
• Adiabatic Channel Capture Theory Applied to Cold Atom-Molecule Reactions: Li + CaH -> LiH + Ca at 1 K
• Density-wave phases of dipolar fermions in a bilayer
• Phase space structure and escape time dynamics in a Van der Waals model for exothermic reactions
• Creating Feshbach resonances for ultracold molecule formation with radiofrequency fields
• Microscopic electronic structure tomography of Rydberg macrodimers
• Magnetic tuning of ultracold barrierless chemical reactions
• Oriented polar molecules trapped in cold helium nanodroplets: Electrostatic deflection, size separation, and charge migration
• Coherent control of reactive scattering at low temperatures: Signatures of quantum interference in the differential cross sections for F + H2 and F + HD
• Magnetic quantum number resolved state-to-state chemistry
• Dipolar Gases in Coupled One-Dimensional Lattices
• Formation of classical crystals of dipolar particles in a helical geometry
• Statics and dynamics of a binary dipolar Bose-Einstein condensate soliton
• Exotic roton excitations in quadrupolar Bose-Einstein condensates
• Spectroscopy of dipolar fermions in 2D pancakes and 3D lattices
• Dimers, Effective Interactions, and Pauli Blocking Effects in a Bilayer of Cold Fermionic Polar Molecules
• Four-body singlet potential energy surface for reactions of calcium monofluoride
• A dipolar droplet bound in a trapped Bose-Einstein condensate
• Anisotropic Coherence properties in a trapped quasi2D dipolar gas
• Occurrence conditions for two-dimensional Borromean systems
• Classical approach to collision complexes in ultracold chemical reactions
• Time-of-Flight Roton Spectroscopy in Dipolar Bose-Einstein Condensates
• Quantum simulation of many-body spin interactions with ultracold polar molecules
• Resonant control of polar molecules in an optical lattice
• Lattice model parameters for ultracold nonreactive molecules: chaotic scattering and its limitations
• Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates
• Photoassociation of ultracold long-range polyatomic molecules
• Dipolar Drag in Bilayer Harmonically Trapped Gases
• Two-dimensional Mixture of Dipolar Fermions: Equation of State and Magnetic Phases
• Gapped spectrum in pair-superfluid bosons
• Mesoscopic dipolar quantum crystals
• Interactions of benzene, naphthalene, and azulene with alkali-metal and alkaline-earth-metal atoms for ultracold studies
• Effective dipole-dipole interactions in multilayered dipolar Bose-Einstein condensates
• Full-dimensional quantum scattering calculations on ultracold atom-molecule collisions in magnetic fields: The role of molecular vibrations
• Zero sound in a two-dimensional dipolar Fermi gas
• Confinement-induced collapse of a dipolar Bose-Einstein condensate
• Kohn-Sham theory of rotating dipolar Fermi gas in two dimensions
• Quantum few-body bound states of dipolar particles in a helical geometry
• Correlations of quasi-2D dipolar ultracold gas at finite temperatures
• Jost function description of near threshold resonances for coupled-channel scattering
• Quantum walk and Anderson localization of rotational excitations in disordered ensembles of polar molecules
• Physical dipoles and second order perturbation theory for dipolar fermions in two dimensions
• Doublon dynamics of Bose-Fermi mixtures in optical lattices
• Non-local state-swapping of polar molecules in bilayers
• Laser spectroscopy of cold molecules
• Control of Ultracold Photodissociation with Magnetic Fields
• A general approach to state-dependent optical tweezer traps for polar molecules
• Effect of loss on the topological features of dimer chain described by the extended Aubry-André-Harper model
• Dynamics of ultracold dipolar particles in a confined geometry and tilted fields
• Fulde-Ferrell-Larkin-Ovchinnikov state in bilayer dipolar systems
• Dipoles on a Two-leg Ladder
• State-to-state endothermic and nearly thermoneutral reactions in an ultracold atom-dimer mixture
• Collisions Between Ultracold Atoms and Cold Molecules in a Dual Electrostatic-Magnetic Trap
• Fermionic non-Abelian fractional Chern insulators from dipolar interactions
• Pulsed rotating supersonic source used with merged molecular beams
• Cold atom-dimer reaction rates with ${}^4$He, ${}^{6,7}$Li and ${}^{23}$Na
• Second-order interaction corrections to the Fermi surface and the quasiparticle properties of dipolar fermions in three dimensions
• Deep inelastic collision of two-dimensional anisotropic dipolar condensate solitons
• Quantum rotor model for a Bose-Einstein condensate of dipolar molecules
• Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap
• Thermodynamics of Dipolar Chain Systems
• Bound Chains of Tilted Dipoles in Layered Systems
• Associative detachment of rubidium hydroxide
• Stability and collapse of fermions in a binary dipolar boson-fermion 164Dy-161Dy mixture
• Extreme correlation and repulsive interactions in highly excited atomic anions
• Spin-orbit-coupled Bose-Einstein condensates of rotating polar molecules
• Kohn-Sham approach to Fermi gas superfluidity: the bilayer of fermionic polar molecules
• Bound states and Cooper pairs of molecules in 2D optical lattices bilayer
• Controlling rotation in the molecular-frame with an optical centrifuge
• External field control of spin-dependent rotational decoherence of ultracold polar molecules
• Stability of a trapped dipolar quantum gas
• Quadrupole oscillation in a dipolar Fermi gas: hydrodynamic vs collisionless regime
• Antiferromagnetism and superfluidity of a dipolar Fermi gas in a 2D optical lattice
• A Model for Scattering with Proliferating Resonances: Many Coupled Square Wells
• Spin Squeezing with Itinerant Dipoles: A Case for Shallow Lattices
• Trapping molecules on chips
• Stability of trapped degenerate dipolar Bose and Fermi gases
• Interplay of interlayer pairing and many-body screening in a bilayer of dipolar fermions
• Bright solitons in a quasi-one-dimensional reduced model of a dipolar Bose-Einstein condensate with repulsive short-range interactions
• Effect of short-range interaction for collision of ultracold dipoles
• Controlling ultracold $p$-wave collisions with non-resonant light: Predictions of an asymptotic model for the generalized scattering volume
• Orbital phases of fermions in an asymmetric optical ladder
• Quantum Zeno-based Detection and State Engineering of Ultracold Polar Molecules
• Pseudopotentials for an ultracold dipolar gas
• Exact two-body solutions and Quantum defect theory of two dimensional dipolar quantum gas
• Dipolar fermions in a multilayer geometry
• Molecular Hydrogen: a benchmark system for Near Threshold Resonances at higher partial waves
• Ultracold collisions of molecules
• Observation of collectivity enhanced magnetoassociation of ${}^6$Li in the quantum degenerate regime
• Influence of the energy-band structure on ultracold reactive processes in lattices
• Spinor Bose-Einstein Condensates of Rotating Polar Molecules
• Classical crystal formation of dipoles in two dimensions
• Protocol for Optically Pumping AlH${}^{+}$ to a Pure Quantum State
• Study of a degenerate dipolar Fermi gas of 161Dy atoms
• Interplay between shell structure and trap deformation in dipolar fermi gases
• The Li + CaF $\to$ Ca + LiF chemical reaction under cold conditions
• Effective potential and scattering length of shielding polar molecules
• Giant enhancement of photodissociation of polar dimers in electric fields
• Quasi-1D ultracold rigid-rotor collisions : reactive and non-reactive cases
• Optimizing the optical imaging system by \emph{in-situ} imaging the plugged hole in the ultracold atoms
• Product-state distribution after isotopic substitution in ultracold atom-molecule collisions
• Collective modes of a trapped ion-dipole system
• Universal stereodynamics of cold atom-molecule collisions in electric fields
• Ultracold coherent control of molecular collisions at a Förster resonance
• The effect of anisotropic exchange interactions and short-range phenomena on superfluidity in a homogeneous dipolar Fermi gas
• Dipolar confinement-induced molecular states in harmonic waveguides
• Vortex generation in a superfluid gas of dipolar chains in crossed electric and magnetic fields
• Averaged collision and reaction rates in a two-species gas of ultracold fermions
• Quantum Degenerate Majorana Surface Zero Modes in Two-Dimensional Space
• Super-ultralow temperature laser cooling via interacting dark-state resonances
• Tunable high-temperature thermodynamics of weakly-interacting dipolar gases
• Nonlinear dynamics and energy transfer for two rotating dipoles in an external field: A three-dimensional analysis
• Aspects of arbitrarily oriented dipoles scattering in plane: short-range interaction influence
• Quantum dynamics of a polar rotor acted upon by an electric rectangular pulse of variable duration
• Scalable platform for qudit-based quantum computing using polar molecules
• Model for two-body collisions between ultracold dipolar molecules around a Förster resonance in an electric field
• Automated Graph-Based Detection of Quantum Control Schemes: Application to Molecular Laser Cooling
• Thermal liquid-gas phase transition in a quasi-one-dimensional dipolar Fermi gas
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• Enhanced trapping of colding lithium by using the multiple-sideband cooling in a two-dimensional magneto-optical trap
• Manipulating multimer propagation using lattice modulation
• Metastable ferromagnetic clusters in dissipative many-body systems of polar molecules
• Analogue Black Holes in Reactive Molecules
• Two- and three- dimensional few-body systems in the universal regime
• Van der Waals coefficients for interactions of dysprosium and erbium atoms with alkali-metal and alkaline-earth-metal atoms
• Suppression of the horizon effect in pairing correlation functions of $t$-$J$ chains after a quantum quench