Universal relaxational dynamics of gapped one dimensional models in the quantum sine-Gordon universality class
arXiv:cond-mat/0507380 · doi:10.1103/PhysRevLett.95.187201
Abstract
A semiclassical approach to the low-temperature real time dynamics of generic one-dimensional, gapped models in the sine-Gordon model universality class is developed. Asymptotically exact universal results for correlation functions are obtained in the temperature regime T << Delta, where Delta is the energy gap.
4 pages, 1 figure
References in corpus (4)
- Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
- Low temperature relaxational dynamics of the Ising chain in a transverse field
- Haldane Gapped Spin Chains: Exact Low Temperature Expansions of Correlation Functions
- Spin transport properties of the quantum one-dimensional non-linear sigma model : an application to Haldane gap systems
Cited by in corpus (54)
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- Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
- Quantum quench spectroscopy of a Luttinger liquid: Ultrarelativistic density wave dynamics due to fractionalization in an XXZ chain
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- Form factors in equilibrium and non-equilibrium mixed states of the Ising model
- Critical conductance of a one-dimensional doped Mott insulator
- Landau-Lifschitz magnets: exact thermodynamics and transport
- Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
- Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
- Open-system spin transport and operator weight dissipation in spin chains
- Finite-temperature charge and spin transport in the one-dimensional Hubbard model accounting for its global [SU (2) X SU(2) X U(1)]/Z_2^2$ symmetry
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