145 citations · 305 across the 6 of their papers we have counts for
6 papers
Emergent spatial correlations in stochastically evolving populations
Marek Grabowski, R. E. Camley
We study the spatial pattern formation and emerging long range correlations in a model of three species coevolving in space and time according to stochastic contact rules. Analytic…
The Structure of Conserved Charges in Open Spin Chains
M. P. Grabowski, P. Mathieu
We study the local conserved charges in integrable spin chains of the XYZ type with nontrivial boundary conditions. The general structure of these charges consists of a bulk part,…
Quantum chains with a Catalan tree pattern of conserved charges: the XXZ model and the isotropic octonionic chain
M. P. Grabowski, P. Mathieu
A class of quantum chains possessing a family of local conserved charges with a Catalan tree pattern is studied. Recently, we have identified such a structure in the integrable $SU…
Integrability Test for Spin Chains
M. P. Grabowski, P. Mathieu
We examine a simple heuristic test of integrability for quantum chains. This test is applied to a variety of systems, including a generic isotropic spin-1 model with nearest-neighb…
Structure of the conservation laws in integrable spin chains with short range interactions
M. P. Grabowski, P. Mathieu
We present a detailed analysis of the structure of the conservation laws in quantum integrable chains of the XYZ-type and in the Hubbard model. With the use of the boost operator,…
Quantum Integrals of Motion for the Heisenberg Spin Chain
Marek P. Grabowski, Pierre Mathieu
An explicit expression for all the quantum integrals of motion for the isotropic Heisenberg spin chain is presented. The conserved quantities are expressed in terms of a su…