Gauge theories are the cornerstone of our understanding fundamental interactions among particles. Their properties often probed in dynamical experiments, such as those performed at ion colliders and high-intensity laser facilities. Describing evolution these strongly coupled systems is a formidable challenge for classical computers, represents one key open quests quantum simulation approaches to particle physics phenomena. Here, we show how recent experiments done on Rydberg atom chains...

Experimental progress in atomic, molecular, and optical platforms the last decade has stimulated strong broad interest quantum coherent dynamics of many long-range interacting particles. The prominent collective character these systems enables novel non-equilibrium phenomena with no counterpart conventional local interactions. Much theory work this area either focussed on impact variable-range interaction tails physics interactions or relied mean-field-like descriptions based opposite limit...

In this work, we introduce an approach to study quantum many-body dynamics, inspired by the Feynman-Vernon influence functional. Focusing on a family of interacting, Floquet spin chains, consider Keldysh path-integral description dynamics. The central object in our is matrix (IM), which describes effect system dynamics local subsystem. For translationally invariant models, formulate self-consistency equation for matrix. certain special values model parameters, obtain exact solution...

Confinement of excitations induces quasilocalized dynamics in disorder-free isolated quantum many-body systems one spatial dimension. This occurrence is signalled by severe suppression correlation spreading and entanglement growth, long-time persistence inhomogeneities, long-lived coherent oscillations local observables. In this work, we present a unified understanding these dramatic effects. The slow dynamical behavior shown to be related the Schwinger effect electrodynamics. We demonstrate...

It is widely recognized that entanglement generation and dynamical chaos are intimately related in semiclassical models via the process of decoherence. In this work, we propose a unifying framework which directly connects bipartite multipartite growth to quantifiers classical quantum chaos. regime, dynamics von Neumann entropy, spin squeezing, Fisher information out-of-time-order square commutator governed by divergence nearby phase-space trajectories local Lyapunov spectrum, as suggested...

We study the non-equilibrium phase diagram and dynamical transitions occurring during pre-thermalization of non-integrable quantum spin chains, subject to either quenches or linear ramps a relevant control parameter. consider systems in which long-range ferromagnetic interactions compete with short-range, integrability-breaking terms. capture pre-thermal stages evolution via time-dependent wave expansion at leading order waves density. In access regimes strong integrability breaking,...

The laws of thermodynamics require any initial macroscopic inhomogeneity in extended many-body systems to be smoothed out by the time evolution through activation transport processes. In generic, non-integrable quantum systems, is expected governed a diffusion law, whereas sufficiently strong quenched disorder can suppress it completely due localization excitations. Here we show that confinement quasi-particles also lead suppression even if dynamics are generated homogeneous Hamiltonians. We...

The authors provide a comprehensive theory for quantum entanglement, that accounts previous puzzling numerical results and agrees with new simulations. paper shows how the standard quasiparticle contribution is suppressed entanglement entropy growth dominated by collective squeezing, accessible in experiments.

Simulating real-time evolution in theories of fundamental interactions represents one the central challenges contemporary theoretical physics. Cold-atom platforms stand as promising candidates to realize quantum simulations non-perturbative phenomena gauge theories, such vacuum decay and hadron collisions, prohibitive conditions for direct experiments. In this work, we demonstrate that present-day simulators can imitate linear particle accelerators, giving access S-matrix measurements...

In quantum many-body dynamics admitting a description in terms of noninteracting quasiparticles, the Feynman-Vernon influence matrix (IM), encoding effect system on evolution its local subsystems, can be analyzed exactly. For discrete dynamics, temporal entanglement (TE) corresponding IM satisfies an area law, suggesting possibility efficient representation matrix-product states. A natural question is whether integrable interactions, preserving stable affect behavior TE. While simple...

Controlling the spread of correlations in quantum many-body systems is a key challenge at heart science and technology. Correlations are usually destroyed by dissipation arising from coupling between system its environment. Here, we show that can instead be used to engineer wide variety spatio-temporal correlation profiles an easily tunable manner. We describe how with any translationally-invariant spatial profile realized cold atoms trapped optical cavity. A uniform external field choice...

We introduce an efficient method to simulate the dynamics of interacting quantum impurity coupled noninteracting fermionic reservoirs. Viewing as open system, we describe reservoirs by their Feynman-Vernon influence functionals (IFs). The IFs are represented matrix-product states in temporal domain, which enables computation for arbitrary interactions. apply our study quenches and transport Anderson model, including highly nonequilibrium setups, find a favorable performance compared...

Describing a quantum impurity coupled to one or more noninteracting fermionic reservoirs is paradigmatic problem in many-body physics. While historically the focus has been on equilibrium properties of impurity-reservoir system, recent experiments with mesoscopic and cold-atomic systems enabled studies highly nonequilibrium models, which require novel theoretical techniques. We propose an approach analyze dynamics based matrix-product state (MPS) representation Feynman-Vernon influence...

Quantum many-body scars (QMBS) are exceptional energy eigenstates of quantum systems associated with violations thermalization for special nonequilibrium initial states. Their various systematic constructions require fine-tuning local Hamiltonian parameters. In this work, we demonstrate that long-range interacting spin generically host robust QMBS. We analyze spectral properties upon raising the power-law decay exponent <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"...

We show that long-range ferromagnetic interactions in quantum spin chains can induce spatial quasilocalization of topological magnetic defects, i.e., domain walls, even the absence quenched disorder. Utilizing matrix-product-states numerical techniques, we study nonequilibrium evolution initial states with one or more walls under effect a transverse field variable-range Ising chains. Upon increasing range these interactions, demonstrate occurrence sharp transition characterized by...

We investigate the robustness of a dynamical phase transition against quantum fluctuations by studying impact ferromagnetic nearest-neighbor spin interaction in one spatial dimension on nonequilibrium diagram fully connected Ising model. In particular, we focus transient dynamics after quench and study prethermal state via combination analytic time-dependent wave theory numerical methods based matrix product states. find that, upon increasing strength fluctuations, critical point fans out...

Feynman–Vernon influence functional (IF) was originally introduced to describe the effect of a quantum environment on dynamics an open system. We apply IF approach many-body in isolated spin systems, viewing system as for its local subsystems. While can be computed exactly only certain models, it generally satisfies self-consistency equation, provided system, or ensemble are translationally invariant. view fictitious wavefunction temporal domain, and approximate using matrix-product states...

A proposal for stabilizing time-crystalline states of matter avoids hard-to-control features required by current experimental methods, introducing a new idea in the effort to stabilize nonequilibrium phases general.

Describing nonequilibrium properties of quantum many-body systems is challenging due to high entanglement in the wave function. We describe evolution local observables via influence matrix (IM), which encodes effects a system as an environment for subsystems. Recent works found that many dynamical regimes IM infinite has low temporal and can be efficiently represented matrix-product state (MPS). Yet, direct iterative constructions encounter highly entangled intermediate states---a barrier...

As realized by Kapitza long ago, a rigid pendulum can be stabilized upside down periodically driving its suspension point with tuned amplitude and frequency. While this dynamical stabilization is feasible in variety of instances systems few degrees freedom, it natural to search for generalizations multi-particle systems. In particular, fundamental question whether, single parameter many-body system, one stabilize an otherwise unstable phase matter against all possible fluctuations...

Describing dynamics of quantum many-body systems is a formidable challenge due to rapid generation entanglement between remote degrees freedom. A promising approach tackle this challenge, which has been proposed recently, characterize the system and its properties as bath via Feynman-Vernon influence matrix (IM), an operator in space time trajectories local Physical understanding general scaling IM's temporal relation basic dynamical highly incomplete present day. In Article, we analytically...

We study the spatiotemporal spreading of correlations in an ensemble spins due to dissipation characterized by short- and long-range spatial profiles. Such emission channels can be synthesized with tunable profiles lossy cavity QED experiments using a magnetic field gradient Raman drive multiple sidebands. consider systems initially uncorrelated state, find that widen contract novel pattern intimately related both dissipative nature dynamical channel its profile. Additionally, we make...

In the $0+1$ -dimensional imaginary-time path integral formulation of quantum impurity problems, retarded action encodes hybridization with bath. this article, we explore computational power representing as matrix product state (RAMPS). We focus on challenging Kondo regime single-impurity Anderson model, where nonperturbative strong-correlation effects arise at very low energy scales. demonstrate that RAMPS approach reliably reaches for a range interaction strengths $U$, numerical error...

In a recent paper [Phys. Rev. Lett. 129, 120601 (2022)], we have shown that the dynamics of interfaces, in symmetry-broken phase two-dimensional ferromagnetic quantum Ising model, displays robust form ergodicity breaking. this paper, elaborate more on issue. First, discuss two classes initial states square lattice, which is driven by complementary terms effective Hamiltonian and may be solved exactly: (a) Strips consecutive neighboring spins aligned opposite direction surrounding (b) large...

The phenomenon of many-body localization in disordered quantum manybody systems occurs when all transport is suppressed despite the excitations system being interacting.In this work we report on numerical simulation autonomous dynamics for Heisenberg chains prepared with an initial inhomogeneity energy density profile.Using exact diagonalisation and a dynamical code based Krylov subspaces are able to simulate up L = 26 spins.We find, surprisingly, breakdown diffusion even before transition...