Thermodynamics and fractal Drude weights in the sine-Gordon model
arXiv:2305.15474 · doi:10.1103/PhysRevB.108.L241105
Abstract
The sine-Gordon model is a paradigmatic quantum field theory that provides the low-energy effective description of many gapped 1D systems. Despite this fact, its complete thermodynamic description in all its regimes has been lacking. Here we fill this gap and derive the framework that captures its thermodynamics and serves as the basis of its hydrodynamic description. As a first application, we compute the Drude weight characterising the ballistic transport of topological charge and demonstrate that its dependence on the value of the coupling shows a fractal structure, similar to the gapless phase of the XXZ spin chain. The thermodynamic framework can be applied to study other features of non-equilibrium dynamics in the sine-Gordon model using generalised hydrodynamics, opening the way to a wide array of theoretical studies and potential novel experimental predictions.
6 pages + 14 pages Supplemental Material
References in corpus (17)
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Finite-temperature transport in one-dimensional quantum lattice models
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Cold atom simulation of interacting relativistic quantum field theories
- Generalized TBA and generalized Gibbs
- Superdiffusion in spin chains
- Ballistic spin transport in a periodically driven integrable quantum system
- Correlation functions and transport coefficients in generalised hydrodynamics
- Algebraic construction of current operators in integrable spin chains
- Transport in the sine-Gordon field theory: from generalized hydrodynamics to semiclassics
- The quantum sine-Gordon model with quantum circuits
- A short introduction to Generalized Hydrodynamics
- Sine-Gordon form factors in finite volume
- Preparing and Analyzing Solitons in the sine-Gordon Model with Quantum Gas Microscopes
- Proposal for measuring the finite-temperature Drude weight of integrable systems
- Popcorn Drude weights from quantum symmetry
Cited by in corpus (7)
- Generalized hydrodynamics: a perspective
- Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
- Non-equilibrium time evolution in the sine-Gordon model revisited
- Dynamical separation of charge and energy transport in one-dimensional Mott insulators
- Spin Drude weight for the integrable XXZ chain with arbitrary spin
- Sine-Gordon dynamics in spin transport
- Anomalous charge transport in the sine-Gordon model