Generalized-hydrodynamic approach to inhomogeneous quenches: correlations, entanglement and quantum effects

@article{Alba2021GeneralizedhydrodynamicAT,
  title={Generalized-hydrodynamic approach to inhomogeneous quenches: correlations, entanglement and quantum effects},
  author={Vincenzo Alba and Bruno Bertini and Maurizio Fagotti and Lorenzo Piroli and Paola de Ruggiero},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2021},
  volume={2021}
}
We give a pedagogical introduction to the generalized hydrodynamic approach to inhomogeneous quenches in integrable many-body quantum systems. We review recent applications of the theory, focusing in particular on two classes of problems: bipartitioning protocols and trap quenches, which represent two prototypical examples of broken translational symmetry in either the system initial state or post-quench Hamiltonian. We report on exact results that have been obtained for generic time-dependent… 
View PDF on arXiv
26 Citations
Background Citations
4
Methods Citations
2

26 Citations

Citation Type

Citation Type

Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
We study the entanglement dynamics generated by quantum quenches in the quantum cellular automaton Rule 54. We consider the evolution from a recently introduced class of solvable initial states.…
Hydrodynamics of quantum entropies in Ising chains with linear dissipation
We study the dynamics of quantum information and of quantum correlations after a quantum quench, in transverse field Ising chains subject to generic linear dissipation. As we show, in the…
Hydrodynamics of weak integrability breaking
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…
Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
We consider the non-equilibrium dynamics of the entanglement entropy of a one-dimensional quantum gas of hard-core particles, initially confined in a box potential at zero temperature. At t = 0 the…
Unbounded entanglement production via a dissipative impurity
We investigate the entanglement dynamics in a free-fermion chain initially prepared in a Fermi sea and subjected to localized losses (dissipative impurity). We derive a formula describing the…
Correlation functions and transport coefficients in generalised hydrodynamics
We review the recent advances on exact results for dynamical correlation functions at large scales and related transport coefficients in interacting integrable models. We discuss Drude weights,…
Macroscopic effects of localised measurements in jammed states of quantum spin chains
A quantum jammed state can be seen as a state where the phase space available to particles shrinks to zero, an interpretation quite accurate in integrable systems, where stable quasiparticles scatter…
Fragmentation and emergent integrable transport in the weakly tilted Ising chain
We investigate emergent quantum dynamics of the tilted Ising chain in the regime of a weak transverse field. Within the leading order perturbation theory, the Hilbert space is fragmented into…
Generalized Hydrodynamics of the attractive Non-Linear Schroedinger Equation
We study the generalized hydrodynamics of the one-dimensional classical Non Linear Schroedinger equation in the attractive phase. We thereby show that the thermodynamic limit is entirely captured by…
Non-Equilibrating a Black Hole with Inhomogeneous Quantum Quench
We study non-equilibrium processes in (1+1)-dimensional conformal field theory (CFT) after quantum quenches starting from the thermal equilibrium (Gibbs) state. Our quench protocol uses spatially…
...
1
2
3
...

References

SHOWING 1-10 OF 489 REFERENCES
Inhomogeneous quantum quenches
We study the problem of a quantum quench in which the initial state is the ground state of an inhomogeneous Hamiltonian, in two different models, conformal field theory and ordinary free field…
Entanglement evolution and generalised hydrodynamics: noninteracting systems
The large-scale properties of homogeneous states after quantum quenches in integrable systems have been successfully described by a semiclassical picture of moving quasiparticles. Here we consider…
Spreading of entanglement and correlations after a quench with intertwined quasiparticles
We extend the semiclassical picture for the spreading of entanglement and correlations to quantum quenches with several species of quasiparticles that have non-trivial pair correlations in momentum…
Quench dynamics and relaxation in isolated integrable quantum spin chains
We review the dynamics after quantum quenches in integrable quantum spin chains. We give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the description of the…
Time dependence of correlation functions following a quantum quench.
We show that the time dependence of correlation functions in an extended quantum system in d dimensions, which is prepared in the ground state of some Hamiltonian and then evolves without dissipation…
Entanglement dynamics after quantum quenches in generic integrable systems
The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by…
Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
We review the non-equilibrium dynamics of many-body quantum systems after a quantum quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We focus on integrable and…
Time evolution of local observables after quenching to an integrable model.
TLDR
This work argues that the behavior of local observables at late times after the quench is given by their expectation values with respect to a single representative Hamiltonian eigenstate, and presents a method for constructing this representative state by means of a generalized thermodynamic Bethe ansatz.
Quantum quenches to the attractive one-dimensional Bose gas: exact results
We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the…
Hybrid Semiclassical Theory of Quantum Quenches in One-Dimensional Systems.
TLDR
A hybrid semiclassical method to study the time evolution of one-dimensional quantum systems in and out of equilibrium by a modified time-evolving block decimation method while treating orbital quasiparticle motion classically is developed.
...
1
2
3
4
5
...