The sine-Gordon model captures the low-energy effective dynamics of a wealth one-dimensional quantum systems, stimulating experimental efforts in building versatile simulator this field theory and fueling parallel development new theoretical toolkits able to capture far-from-equilibrium settings. In work, we analyze realization from interference pattern two quasicondensates: argue that emergent is well described by its classical limit, develop large-scale description based on generalized...

Using generalized hydrodynamics (GHD), we develop the Euler of classical integrable field theory. Classical GHD is based on a known formalism for Gibbs ensembles fields, that resembles thermodynamic Bethe ansatz quantum models, which extend to (GGEs). In general, must take into account both solitonic and radiative modes fields. We observe quasi-particle formulation remains valid modes, even though these do not display particle-like properties in their precise dynamics. point out because UV...

We provide a new hydrodynamic framework to describe out-of-equilibrium integrable systems with space-time inhomogeneous interactions. Our result builds up on the recently introduced generalized hydrodynamics (GHD). The method allows us analytically dynamics during generic space-time-dependent smooth modulations of As proof concept, we study experimentally motivated interaction quenches in trapped interacting Bose gas, which cannot be treated current analytical or numerical methods. also...

We derive exact analytic expressions for the $n$-body local correlations in one-dimensional Bose gas with contact repulsive interactions (Lieb-Liniger model) thermodynamic limit. Our results are valid arbitrary states of model, including ground and thermal states, stationary after a quantum quench, nonequilibrium steady arising transport settings. Calculations these explicitly presented physical consequences critically discussed. also show that directly related to full counting statistics...

We review recent progress in understanding nearly integrable models within the framework of generalized hydrodynamics (GHD). Integrable systems have infinitely many conserved quantities and stable quasiparticle excitations: when integrability is broken, only a few residual survive, eventually leading to thermalization, chaotic dynamics conventional hydrodynamics. In this review, we summarize efforts take into account small breaking terms, describe transition from GHD standard discuss current...

For a decade the fate of one-dimensional gas interacting bosons in an external trapping potential remained mysterious. We here show that whenever underlying integrability is broken by presence potential, inevitable diffusive rearrangements between quasiparticles, quantified diffusion constants gas, eventually lead system to thermalize at late times. full thermalizing dynamics can be described generalized hydrodynamics with and force terms, we compare these predictions numerical simulations....

Unconventional nonequilibrium phases with restricted correlation spreading and slow entanglement growth have been proposed to emerge in systems confined excitations, calling their thermalization dynamics into question. Here, we show that the after a quantum quench instead exhibits multiple stages well separated time scales. As an example, consider Ising spin chain, which domain walls ordered phase form bound states reminiscent of mesons. The system first relaxes towards prethermal state,...

We investigate emergent quantum dynamics of the tilted Ising chain in regime a weak transverse field. Within leading order perturbation theory, Hilbert space is fragmented into exponentially many decoupled sectors. find that sector made isolated magnons integrable with being governed by constrained version XXZ spin Hamiltonian. As consequence, when initiated this sector, exhibits ballistic transport on unexpectedly long timescales. quantitatively describe its rich phenomenology employing...

Periodic driving of a chain 20 trapped ions realizes model quantum spins that allows for the first experimental demonstration bound magnon states in presence long-range spin interactions.

The sine-Gordon model emerges as a low-energy theory in plethora of quantum many-body systems. Here, we theoretically investigate tunnel-coupled Bose-Hubbard chains with strong repulsive interactions realization the deep regime. We propose protocols for gas microscopes ultracold atoms to prepare and analyze solitons, which are fundamental topological excitations emergent theory. With numerical simulations based on matrix product states, characterize preparation detection discuss experimental...

We extend the semiclassical picture for spreading of entanglement and correlations to quantum quenches with several species quasiparticles that have non-trivial pair in momentum space. These are, example, relevant inhomogeneous lattice models a periodically-modulated Hamiltonian parameter. provide explicit predictions entropy space-time scaling limit. also predict time evolution one- two-point functions order parameter within ordered phase. test all our against exact numerical results Ising...

Abstract We derive exact formulas for the expectation value of local observables in a one-dimensional gas bosons with point-wise repulsive interactions (Lieb–Liniger model). Starting from recently conjectured expression vertex operators sinh-Gordon field theory, we explicit analytic expressions one-point K -body correlation functions Lieb–Liniger gas, arbitrary integer . These are valid all excited states thermodynamic limit, including thermal states, generalized Gibbs ensembles and...

We consider the out-of-equilibrium dynamics of an interacting integrable system in presence external dephasing noise. In limit large spatial correlation noise, we develop exact description based on a hydrodynamic formulation. This results additional term to standard generalized hydrodynamics theory describing diffusive momentum space quasiparticles system, with time- and momentum-dependent diffusion constant. Our analytical predictions are then benchmarked classical by comparison microscopic...

We consider the out-of-equilibrium dynamics of Heisenberg anisotropic quantum spin-$1/2$ chain threaded by a time-dependent magnetic flux. In spirit recently developed generalized hydrodynamics (GHD), we exploit integrability model for any flux values to derive an exact description in limit slowly varying flux: state system is described at time Gibbs ensemble. Two dynamical regimes emerge according value anisotropy $\mathrm{\ensuremath{\Delta}}$. For $|\mathrm{\ensuremath{\Delta}}|>1$,...

The confinement of elementary excitations induces distinctive features in the non-equilibrium quench dynamics. One most remarkable is suppression entanglement entropy, which several instances turns out to oscillate rather than grow indefinitely. While qualitative physical origin this behavior clear, till now no quantitative understanding away from field theory limit was available. Here we investigate problem weak limit, when mesons are excited at rest, hindering entropy growth and exhibiting...

We revisit the exact thermodynamic description of classical sine-Gordon field theory, a notorious integrable model. found that existing results in literature based on soliton-gas picture did not correctly take into account light, but extended, solitons and thus led to incorrect results. This issue is regularized upon requantization: we derive correct thermodynamics by taking semiclassical limit quantum Our are then extended transport settings means Generalized Hydrodynamics.

We study the generalized hydrodynamics of one-dimensional classical Non Linear Schroedinger equation in attractive phase. thereby show that thermodynamic limit is entirely captured by solitonic modes and radiation absent. Our results are derived considering semiclassical quantum Bose gas, where Planck constant has a key role as regulator soliton gas. use our result to adiabatic interaction changes from repulsive phase, observing production obtaining exact analytical which excellent agreement...

The study of confinement in quantum spin chains has seen a large surge interest recent years. It is not only important for understanding range effective one-dimensional condensed matter realizations, but also shares some the non-perturbative physics with chromodynamics (QCD) which makes it prime target current simulation efforts. In analogy QCD, confinement-induced two-particle boundstates that appear these models are dubbed mesons. Here, we scattering events due to meson collisions chain...

The sine-Gordon field theory emerges as the low-energy description in a wealth of quantum many-body systems. Recent efforts have been directed towards realizing simulators model, by interfering two weakly coupled one-dimensional cold atomic gases. weak interactions within clouds provide realization semiclassical regime. Furthermore, intricate microscopic dynamics prevents quantitative understanding effective validity realm. In this work, we focus on spin-ladder and observe emergent deep We...

We present the first exact theory and analytical formulas for large-scale phase fluctuations in sine-Gordon model, valid all regimes of field theory, arbitrary temperatures interaction strengths. Our result is based on ballistic fluctuation combined with generalized hydrodynamics, can be seen as an "dressing" phenomenological soliton-gas picture introduced by Sachdev Young [Phys. Rev. Lett. 78, 2220 (1997)PRLTAO0031-900710.1103/PhysRevLett.78.2220], to modes hydrodynamics. The resulting...

We consider the dynamics of a system free fermions on 1D lattice in presence defect moving at constant velocity. The has form localized time-dependent variation chemical potential and induces long times nonequilibrium steady state (NESS), which spreads around defect. present general formulation that allows recasting protocol scattering problem static potential. obtain complete characterization NESS. In particular, we show strong dependence velocity existence sharp threshold when such exceeds...

Heat engines near the adiabatic limit typically assume a working medium at thermal equilibrium. However, quantum many-body systems often showcase conservation laws that hinder thermalization, leading to prethermalization in exotic stationary phases. This work explores whether enhances or reduces engine efficiency. We investigate Otto cycles with varying numbers of conserved quantities. find additional reduce efficiency positive temperatures, but enhance it regimes negative temperatures. Our...

In this paper we study a suitable limit of integrable QFT with the aim to identify continuous non-relativistic models local interactions. This amounts sending infinity speed light c but simultaneously adjusting coupling constant g quantum field theories in such way keep finite energies various excitations. The considered here are Toda Field Theories and O(N) non-linear sigma model. both cases resulting consist only Lieb-Liniger models, which fully decoupled for while symmetrically coupled...

We consider the 1d interacting Bose gas in presence of time-dependent and spatially inhomogeneous contact interactions. Within its attractive phase, allows for bound states an arbitrary number particles, which are eventually populated if system is dynamically driven from repulsive to regime. Building on framework Generalized Hydrodynamics, we analytically determine formation limit adiabatic changes Our results valid initial thermal and, more generally, Gibbs Ensembles.