Work

Trigonometric SU ( N ) Richardson–Gaudin models and dissipative multi-level atomic systems

Year: 2020

Type: article

Abstract: We derive the exact solution of a system of N -level atoms in contact with a Markovian reservoir. The resulting Liouvillian expressed in a vectorized basis is mapped to an SU ( N ) trigonometric Richardson–Gaudin model whose exact solution is given by a set of non-linear coupled equations. For N = 2 ( SU (2)) we recover the exact solution of (2019 Phys. Rev. Lett. 122 010401). We then study the SU (3) case for three-level atom systems and discuss the properties of the steady state and dissipative gaps for finite systems as well as for the thermodynamic limit.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/abab54

Authors: Sergio Lerma-Hernández, Alvaro Rubio-García, Jorge Dukelsky

Institutions: Universidad Veracruzana, Consejo Superior de Investigaciones Científicas, Instituto de Estructura de la Materia

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia, Innovación y Universidades, Consejo Nacional de Ciencia y Tecnología, Consejo Superior de Investigaciones Científicas, European Regional Development Fund

Awards: G3259195792, G5862326917