Transport in the sine-Gordon field theory: from generalized hydrodynamics to semiclassics
arXiv:1904.02696 · doi:10.1103/PhysRevB.100.035108
Abstract
The semiclassical approach introduced by Sachdev and collaborators proved to be extremely successful in the study of quantum quenches in massive field theories, both in homogeneous and inhomogeneous settings. While conceptually very simple, this method allows one to obtain analytic predictions for several observables when the density of excitations produced by the quench is small. At the same time, a novel generalized hydrodynamic (GHD) approach, which captures exactly many asymptotic features of the integrable dynamics, has recently been introduced. Interestingly, also this theory has a natural interpretation in terms of semiclassical particles and it is then natural to compare the two approaches. This is the objective of this work: we carry out a systematic comparison between the two methods in the prototypical example of the sine-Gordon field theory. In particular, we study the "bipartitioning protocol" where the two halves of a system initially prepared at different temperatures are joined together and then left to evolve unitarily with the same Hamiltonian. We identify two different limits in which the semiclassical predictions are analytically recovered from GHD: a particular non-relativistic limit and the low temperature regime. Interestingly, the transport of topological charge becomes sub-ballistic in these cases. Away from these limits we find that the semiclassical predictions are only approximate and, in contrast to the latter, the transport is always ballistic. This statement seems to hold true even for the so-called "hybrid" semiclassical approach, where finite time DMRG simulations are used to describe the evolution in the internal space.
30 pages, 6 figures
References in corpus (18)
- Effective thermal dynamics following a quantum quench in a spin chain
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
- Full counting statistics in a propagating quantum front and random matrix spectra
- Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms
- Entanglement negativity in the harmonic chain out of equilibrium
- Quantum quench in the sine-Gordon model
- Quantum relaxation after a quench in systems with boundaries
- Relaxation in the XX quantum chain
- Stationary states in a free fermionic chain from the Quench Action Method
- Universal relaxational dynamics of gapped one dimensional models in the quantum sine-Gordon universality class
- Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
- Approximate light cone effects in a non-relativistic quantum field theory after a local quench
- Sine-Gordon form factors in finite volume
- Luttinger Liquid in Non-equilibrium Steady State
- Quasilocal charges and progress towards the complete GGE for field theories with non-diagonal scattering
- Non-equilibrium transport in -dimensional non-interacting Fermi gases
- Universal diffusive decay of correlations in gapped one-dimensional systems
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