Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
arXiv:2312.03909 · doi:10.21468/SciPostPhys.16.6.145
Abstract
We set up a hydrodynamic description of the non-equilibrium dynamics of sine-Gordon quantum field theory for generic coupling. It is built upon an explicit form of the Bethe Ansatz description of general thermodynamic states, with the structure of the resulting coupled integral equations encoded in terms of graphical diagrams. The resulting framework is applied to derive results for the Drude weights of charge and energy. Quantities associated with the charge universally have fractal dependence on the coupling, which is notably absent from those associated with energy, a feature explained by the different roles played by reflective scattering in transporting these quantities. We then present far-from-equilibrium results, including explicit time evolution starting from bipartite initial states and dynamical correlation functions. Our framework can be applied to explore numerous other aspects of non-equilibrium dynamics, which opens the way to a wide array of theoretical studies and potential novel experimental predictions.
arXiv commentText improved
References in corpus (71)
- Nonequilibrium dynamics of closed interacting quantum systems
- Time-dependence of correlation functions following a quantum quench
- Quantum thermalization through entanglement in an isolated many-body system
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Light-cone-like spreading of correlations in a quantum many-body system
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Quantum Quenches in Extended Systems
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Exact expectation values of local fields in quantum sine-Gordon model
- Generalized HydroDynamics on an Atom Chip
- Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
- On solving quantum many-body problems by experiment
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Families of quasi-local conservation laws and quantum spin transport
- Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
- Quantum quench in an atomic one-dimensional Ising chain
- Microscopic origin of ideal conductivity in integrable quantum models
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Lecture notes on Generalised Hydrodynamics
- Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
- Energy flow in non-equilibrium conformal field theory
- Cold atom simulation of interacting relativistic quantum field theories
- Drude Weight for the Lieb-Liniger Bose Gas
- Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms
- Quantum quench in the sine-Gordon model
- Generalized TBA and generalized Gibbs
- Dynkin TBA's
- Superdiffusion in spin chains
- Relaxation to a Phase-locked Equilibrium State in a One-dimensional Bosonic Josephson Junction
- Ballistic spin transport in a periodically driven integrable quantum system
- Correlation functions and transport coefficients in generalised hydrodynamics
- Superuniversality of superdiffusion
- Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent Condensates
- Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
- Hybrid semiclassical theory of quantum quenches in one dimensional systems
- Universal relaxational dynamics of gapped one dimensional models in the quantum sine-Gordon universality class
- Fluctuations in ballistic transport from Euler hydrodynamics
- Transport fluctuations in integrable models out of equilibrium
- Transport in the sine-Gordon field theory: from generalized hydrodynamics to semiclassics
- Designing Arbitrary One-dimensional Potentials on an Atom Chip
- The quantum sine-Gordon model with quantum circuits
- Quantum quenches in the sine--Gordon model: a semiclassical approach
- Current operators in Bethe Ansatz and Generalized Hydrodynamics: An exact quantum/classical correspondence
- Non-equilibrium time evolution and rephasing in the quantum sine-Gordon model
- Anomalous low-frequency conductivity in easy-plane XXZ spin chains
- Overlap singularity and time evolution in integrable quantum field theory
- Sine-Gordon form factors in finite volume
- Preparing and Analyzing Solitons in the sine-Gordon Model with Quantum Gas Microscopes
- Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
- Quantum quench in the attractive regime of the sine-Gordon model
- The Sine-Gordon Model as $\SO(n)_{1} \times \SO(n)_{1} \over \SO(n)_{2}$ Perturbed Coset Theory and Generalizations
- Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium
- Semiclassical theory of front propagation and front equilibration following an inhomogeneous quantum quench
- The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
- Josephson oscillations in split one-dimensional Bose gases
- Finite temperature dynamics in gapped 1D models in the sine-Gordon family
- New functional dilogarithm identities and sine-Gordon Y-systems
- Quantum quenches in an interacting field theory: full quantum evolution vs. semi-classical approximations
- Thermodynamics and fractal Drude weights in the sine-Gordon model
- Exact large-scale fluctuations of the phase field in the sine-Gordon model
- Popcorn Drude weights from quantum symmetry
- Full exact solution of the out-of-equilibrium boundary sine Gordon model
- Wonder of sine-Gordon Y-systems
- Dynamical separation of charge and energy transport in one-dimensional Mott insulators
- Non-equilibrium time evolution in the sine-Gordon model revisited
- Spin Drude weight for the integrable XXZ chain with arbitrary spin