7 papers
From Quantum to Classical Dissipative Spin Dynamics
Alireza Ataei, Leila Ataei, Olle Eriksson +1
The Landau-Lifshitz-Gilbert (LLG) equation provides the fundamental description of dissipative magnetization dynamics. A recently proposed quantum analog, the quantum Landau-Lifshi…
Energy Ordering from Nonlinear Quantum Dissipation
Alireza Ataei, Olle Eriksson, Vahid Azimi-Mousolou
Energy-ordered occupation is deeply embedded in quantum physics, from the Aufbau principle governing the filling of electronic states in atoms and molecules to the emergence of low…
Ground-state preparation via nonlinear quantum dissipation
Alireza Ataei, Olle Eriksson, Vahid Azimi Mousolou
Ground-state preparation of quantum many-body systems is a fundamental challenge across quantum science, with implications for quantum simulation, quantum computing, and the study…
Nonlinear Landau levels in the almost-bosonic anyon gas
Alireza Ataei, Ask Ellingsen, Filippa Getzner +3
We consider the quantitative description of a many-particle gas of interacting abelian anyons in the plane, confined in a trapping potential. If the anyons are modeled as bosons wi…
Microscopic derivation of the stationary Chern-Simons-Schrödinger equation for almost-bosonic anyons
Alireza Ataei, Douglas Lundholm, Théotime Girardot
In this work we consider the -body Hamiltonian describing the microscopic structure of a quantum gas of almost-bosonic anyons. This description includes both extended magnetic f…
A Sharp condition on global wellposedness of Chern-Simons-Schrödinger equation
Alireza Ataei
In this work, we derive a sharp condition on the mass of the initial data for the global existence of the Chern-Simons-Schrödinger equation. As a corollary, we prove that if the st…
A generalized Liouville equation and magnetic stability
Alireza Ataei, Douglas Lundholm, Dinh-Thi Nguyen
This work considers two related families of nonlinear and nonlocal problems in the plane . The first main result derives the general integrable solution to a generali…