• Corpus ID: 119640518

Phonon Bose-Einstein condensation in a Hubbard-phonon interacting system with infrared divergence

@article{Sekine2013PhononBC,
  title={Phonon Bose-Einstein condensation in a Hubbard-phonon interacting system with infrared divergence},
  author={Yoshitsugu Sekine},
  journal={arXiv: Mathematical Physics},
  year={2013}
}
  • Y. Sekine
  • Published 26 August 2013
  • Physics
  • arXiv: Mathematical Physics
We show that a finite Hubbard-phonon interacting system exhibits phonon BEC at sufficiently low temperature. We also have the gauge symmetry breaking for phonons. The key tools are a unitary transformation introduced by Arai and Hirokawa \protect{\cite{AH1}} and the Araki-Woods representation. This system is essentially the same as a free system or the van Hove model. 
View PDF on arXiv

References

SHOWING 1-10 OF 33 REFERENCES

Magnetism and infrared divergence in a Hubbard-phonon interacting system

We show that a finite Hubbard-phonon interacting system has ferromagnetic or unique spin-singlet ground state under the infrared singular condition. The key tool is a unitary transformation…

On a model for quantum friction, II. Fermi's golden rule and dynamics at positive temperature

We investigate the dynamics of anN-level system linearly coupled to a field of mass-less bosons at positive temperature. Using complex deformation techniques, we develop time-dependent perturbation…

Renormalization Group Analysis of Spectral Problems in Quantum Field Theory

Abstract In this paper we present a self-contained and detailed exposition of the new renormalization group technique proposed in [1, 2]. Its main feature is that the renormalization group…

Ground state of a general electron-phonon Hamiltonian is a spin singlet.

The many-body ground state of a very general class of electron-phonon Hamiltonians is proven to contain a spin singlet and both the spin-singlet and uniqueness theorems apply to the Holstein and attractive Hubbard models as special cases.

Ground states in non-relativistic quantum electrodynamics

Abstract.The excited states of a charged particle interacting with the quantized electromagnetic field and an external potential all decay, but such a particle should have a true ground state – one…

Ground states of a model in nonrelativistic quantum electrodynamics. I

The system of a one charged nonrelativistic particle with external potentials minimally coupled to a massless quantized radiation field is considered. An ultraviolet cutoff is imposed on the…

Ground state(s) of the spin-boson hamiltonian

We establish that the finite temperature KMS states of the spin-boson hamiltonian have a limit as the temperature drops to zero. Using recent advances on the one-dimensional Ising model with long…

The Infrared Behaviour in Nelson's Model of a Quantum Particle Coupled to a Massless Scalar Field

Abstract. We prove that Nelson's massless scalar field model is infrared divergent in three dimensions. In particular, the Nelson Hamiltonian has no ground state in Fock space and thus it is not…

QUANTUM ELECTRODYNAMICS OF CONFINED NONRELATIVISTIC PARTICLES

Abstract We consider a system of finitely many nonrelativistic, quantum mechanical electrons bound to static nuclei. The electrons are minimally coupled to the quantized electromagnetic field; but we…

Ground states and spectrum of quantum electrodynamics of non-relativistic particles

A system consisting of finitely many nonrelativistic particles bound on an external potential and minimally coupled to a massless quantized radiation field without the dipole approximation is…