Abstract Collectively coupling molecular ensembles to a cavity has been demonstrated modify chemical reactions akin catalysis. Theoretically understanding this experimental finding remains an important challenge. In particular the role of quantum effects in such setups is open question fundamental and practical interest. Theoretical descriptions often neglect entanglement between nuclear electro-photonic degrees freedom, e.g., by computing Ehrenfest dynamics. Here we discover that disorder...

The operator space entanglement entropy, or simply 'operator entanglement' (OE), is an indicator of the complexity quantum operators and their approximability by Matrix Product Operators (MPO). We study OE density matrix 1D many-body models undergoing dissipative evolution. It expected that, after initial linear growth reminiscent unitary quench dynamics, should be suppressed processes as system evolves to a simple stationary state. Surprisingly, we find that this scenario breaks down for...

The dynamics of one-dimensional quantum many-body systems is often numerically simulated with matrix-product states (MPSs). computational complexity MPS methods known to be related the growth entropies reduced density matrices for bipartitions chain. While closed entropy relevant uniquely defined by entanglement entropy, open it depends on choice representation. Here, we systematically compare different representations in open-system simulations. We simulate an $XXZ$ spin-1/2 chain presence...

We investigate the quantum many-body dynamics of bosonic atoms hopping in a two-leg ladder with strong on-site contact interactions. observe that when are prepared staggered pattern pairs on every other rung, singlon defects, i.e., rungs only one atom, can localize due to an emergent topological model, even though underlying model absence interactions admits topologically trivial states. This localization results from formation zero-energy edge mode effective lattice formed by two adjacent...

Long-range and anisotropic dipolar interactions profoundly modify the dynamics of particles hopping in a periodic lattice potential. We report realization generalized t-J model with using system ultracold fermionic molecules spin encoded two lowest rotational states. independently tuned Ising spin-exchange couplings molecular motion studied their interplay on coherent dynamics. Using Ramsey spectroscopy, we observed modeled interaction-driven contrast decay that depends strongly both...

We study a simple model for photoinduced electron transfer reactions the case of many donor-acceptor pairs that are collectively and homogeneously coupled to photon mode cavity. describe both coherent dissipative collective effects resulting from this coupling within framework quantum optics Lindblad master equation. introduce method derive an effective rate equation transfer, by adiabatically eliminating donor acceptor states cavity mode. The is valid weak strong mode, describes electronic...

The authors demonstrate how the interplay between intrachain and interchain interactions in a dipolar spin chain results three distinct relaxation regimes: ergodic, characterized by rapid towards equilibrium; metastable, where state is quasi-localized; partially relaxed, exhibiting both partial ergodic quasi-localized behaviors simultaneously.

We propose a mechanism to realize high-yield molecular formation from ultracold atoms. Atom pairs are continuously excited by laser, and collective decay into the ground state is induced coupling lossy cavity mode. Using combination of analytical numerical techniques, we demonstrate that yield can be improved simply increasing number atoms, overcome efficiencies state-of-the-art association schemes. discuss realistic experimental setups for diatomic polar nonpolar molecules, opening up light...

Long-range and anisotropic dipolar interactions profoundly modify the dynamics of particles hopping in a periodic lattice potential. Here, we report realization generalized t-J model with using system ultracold fermionic molecules spin encoded two lowest rotational states. We systematically explore role Ising spin-exchange couplings effect motion on dynamics. The parameters can be controlled independently, tuned by electric fields regulated optical lattices. Using Ramsey spectroscopy,...

We study the temporal growth and spatial propagation of quantum correlations in a two-dimensional bilayer realising spin-1/2 XXZ model with couplings mediated by long-range anisotropic dipolar interactions. Starting an initial state consisting spins opposite magnetization each layers, we predict emergence momentum-dependent dynamic instability spin structure factor that results, at short times, creation pairs excitations exponentially fast rates. The created present characteristic momentum...

Entangled spin squeezed states generated via dipolar interactions in lattice models provide unique opportunities for quantum enhanced sensing and are now within reach of current experiments. A critical question this context is which parameter regimes offer the best prospects under realistic conditions. Light scattering deep lattices can induce significant decoherence strong Stark shifts, while shallow face motional as a fundamental obstacle. Here we analyze interplay between motion squeezing...

Abstract Network science provides a universal framework for modeling complex systems, contrasting the reductionist approach generally adopted in physics. In prototypical study, we utilize network models created from spectroscopic data of atoms to predict microscopic properties underlying physical system. For simple such as helium, an posteriori inspection communities reveals emergence quantum numbers and symmetries. more thorium, finer hierarchies suggest additional symmetries or...

Quantum computation (QC) and simulation rely on long-lived qubits with controllable interactions. Early work in quantum computing made use of molecules because their readily available intramolecular nuclear spin coupling chemical shifts, along mature magnetic resonance techniques. Subsequently, the pursuit many physical platforms has flourished. Trapped polar have been proposed as a promising platform, offering scalability single-particle addressability while still leveraging inherent...

In conventional Bardeen-Cooper-Schrieffer (BCS) superconductors, electrons with opposite momenta bind into Cooper pairs due to an attractive interaction mediated by phonons in the material. While superconductivity naturally emerges at thermal equilibrium, it can also emerge out of equilibrium when system's parameters are abruptly changed. The resulting out-of-equilibrium phases predicted occur real materials and ultracold fermionic atoms but have not yet been directly observed. This work...

We study the temporal growth and spatial propagation of quantum correlations in a two-dimensional bilayer realising spin-1/2 XXZ model with couplings mediated by long-range anisotropic dipolar interactions. Starting an initial state consisting spins opposite magnetization each layers, we predict emergence momentum-dependent dynamic instability spin structure factor that results, at short times, creation pairs excitations exponentially fast rates. The created present characteristic momentum...

The dynamics of one-dimensional quantum many-body systems is often numerically simulated with matrix-product states (MPSs). computational complexity MPS methods known to be related the growth entropies reduced density matrices for bipartitions chain. While closed entropy relevant uniquely defined by entanglement entropy, open it depends on choice representation. Here, we systematically compare different representations in open-system simulations. We simulate an XXZ spin-1/2 chain presence...

We experimentally demonstrate all three predicted dynamical phases of quenched superconductors using strontium atoms coupled to a high-finesse cavity. show that this rich phenomenology can also be observed with similar but different Hamiltonian.

We simulate out-of-equilibrium dynamics in Bardeen-Cooper-Schrieffer model of superconductivity using ~10 6 Sr atoms coupled via cavity-mediated spin-exchange inter-actions. In doing so, we observe three theoretically-predicted dynamical phases and identify corresponding phase transitions.

Ultracold dipolar particles pinned in optical lattices or tweezers provide an excellent platform for studying out-of-equilibrium quantum magnetism with dipole-mediated couplings. Starting initial state spins of opposite orientation each the legs a ladder lattice, we show that spin relaxation displays unexpected dependence on inter-leg distance and dipole orientation. This intricate dependence, stemming from interplay between intra- interactions, results three distinct dynamical regimes: (i)...

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Network science provides a universal framework for modeling complex systems, contrasting the reductionist approach generally adopted in physics. In prototypical study, we utilize network models created from spectroscopic data of atoms to predict microscopic properties underlying physical system. For simple such as helium, an posteriori inspection communities reveals emergence quantum numbers and symmetries. more thorium, finer hierarchies suggest additional symmetries or configurations. Link...