239 citations · 2.2k across the 65 of their papers we have counts for
6 papers · 1 filter
Knizhnik-Zamolodchikov equations and integrable hyperbolic Landau-Zener models
Suvendu Barik, Lieuwe Bakker, Vladimir Gritsev +1
We study the relationship between integrable Landau-Zener (LZ) models and Knizhnik-Zamolodchikov (KZ) equations. The latter are originally equations for the correlation functions o…
Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets
Emil A. Yuzbashyan
We solve the non-stationary Schrodinger equation for several time-dependent Hamiltonians, such as the BCS Hamiltonian with an interaction strength inversely proportional to time, p…
Gaussian ensemble for quantum integrable dynamics
Hyungwon Kim, Anatoli Polkovnikov, Emil A. Yuzbashyan
We propose a Gaussian ensemble as a description of the long-time dynamics of isolated quantum integrable systems. Our approach extends the Generalized Gibbs Ensemble (GGE) by incor…
Generalized microcanonical and Gibbs ensembles in classical and quantum integrable dynamics
Emil A. Yuzbashyan
We prove two statements about the long time dynamics of integrable Hamiltonian systems. In classical mechanics, we prove the microcanonical version of the Generalized Gibbs Ensembl…
Quantum quench spectroscopy of a Luttinger liquid: Ultrarelativistic density wave dynamics due to fractionalization in an XXZ chain
Matthew S. Foster, Timothy C. Berkelbach, David R. Reichman +1
We compute the dynamics of localized excitations produced by a quantum quench in the spin 1/2 XXZ chain. Using numerics combining the density matrix renormalization group and exact…
The Link between Integrability, Level Crossings, and Exact Solution in Quantum Models
H. K. Owusu, K. Wagh, E. A. Yuzbashyan
We investigate the connection between energy level crossings in integrable systems and their integrability, i.e. the existence of a set of non-trivial integrals of motion. In parti…