The ground state energy of the multi-polaron in the strong coupling limit

Abstract

We consider the Fröhlich $N$-polaron Hamiltonian in the strong coupling limit and bound the ground state energy from below. In particular, our lower bound confirms that the ground state energy of the Fröhlich polaron and the ground state energy of the associated Pekar-Tomasevich variational problem are asymptotically equal in the strong coupling limit. We generalize the operator approach that was used to prove a similar result in the N=1 case in Lieb and Thomas (1997) and apply a Feynman-Kac formula to obtain the same result for an arbitrary particle number $N\ge 1$.

15 pages

References in corpus (3)

• Geometric methods for nonlinear many-body quantum systems
• The bipolaron in the strong coupling limit
• The Strong-Coupling Polaron in Electromagnetic Fields

Cited by in corpus (8)

• Using polarons for sub-nK quantum non-demolition thermometry in a Bose-Einstein condensate
• Quantum Brownian Motion with Inhomogeneous Damping and Diffusion
• Non-Markovian polaron dynamics in a trapped Bose-Einstein condensate
• Monotonicity of the polaron energy II:General theory of operator monotonicity
• The Lieb--Thomas strategy for strongly coupled fermionic multipolarons with general external fields
• On the ground-state wave function of the one-dimensional polaron in the strong-coupling limit
• Ground State of the Polaron Hydrogenic Atom in a Strong Magnetic Field
• On the Strong Coupling Limit of Many-Polaron Systems in Electromagnetic Fields