Lie Algebras and Generalized Thermal Coherent States

Abstract

In this paper, we developed an algebraic formulation for the generalized thermal coherent states with a Thermofield Dynamics approach for multi-modes, based on coset space of Lie groups. In particular, we applied our construction on $SU(2)$ and $SU(1,1)$ symmetries and we obtain their thermal coherent states and density operator. We also calculate their thermal quantum Fidelity and thermal Wigner function.

15 pages and 2 figures

References in corpus (2)

• Spin squeezing, entanglement and quantum metrology with Bose-Einstein condensates
• Casimir Effect at finite temperature for the Kalb-Ramond field

Cited by in corpus (1)

• Thermofield Theory for Finite-Temperature Quantum Chemistry