Yang-Baxter integrable Lindblad equations
SciPost Physics SciPost (2020)
Abstract:
We consider Lindblad equations for one dimensional fermionic models and quantum spin chains. By employing a (graded) super-operator formalism we identify a number of Lindblad equations than can be mapped onto non-Hermitian interacting Yang-Baxter integrable models. Employing Bethe Ansatz techniques we show that the late-time dynamics of some of these models is diffusive.How order melts after quantum quenches
PHYSICAL REVIEW B 101:4 (2020) 41110
Abstract:
© 2020 American Physical Society. Injecting a sufficiently large energy density into an isolated many-particle system prepared in a state with long-range order will lead to the melting of the order over time. Detailed information about this process can be derived from the quantum mechanical probability distribution of the order parameter. We study this process for the paradigmatic case of the spin-1/2 Heisenberg XXZ chain. We determine the full quantum mechanical distribution function of the staggered subsystem magnetization as a function of time after a quantum quench from the classical Néel state. We establish the existence of an interesting regime at intermediate times that is characterized by a very broad probability distribution. Based on our findings we propose a simple general physical picture of how long-range order melts.Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium
Journal of Statistical Mechanics: Theory and Experiment IOP Publishing 2019:August (2019) 084012
Abstract:
We derive a self-consistent time-dependent harmonic approximation for the quantum sine-Gordon model out of equilibrium and apply the method to the dynamics of tunnel-coupled one-dimensional Bose gases. We determine the time evolution of experimentally relevant observables and in particular derive results for the probability distribution of subsystem phase fluctuations. We investigate the regime of validity of the approximation by applying it to the simpler case of a nonlinear harmonic oscillator, for which numerically exact results are available. We complement our self-consistent harmonic approximation by exact results at the free fermion point of the sine-Gordon model.Almost strong (0, pi) edge modes in clean interacting one-dimensional Floquet systems
PHYSICAL REVIEW B 99:20 (2019) ARTN 205419
NMR relaxation in Ising spin chains
Physical Review B: Condensed Matter and Materials Physics American Physical Society 99 (2019) 035156