Bose-Einstein condensation of quasiparticles is excluded in the van Hove model because time cluster properties on beta-KMS states preclude it and nonlinear dispersion with s greater than 2 reduces the observable algebra via infrared divergences.
Mathematical Principles of Quantum Statistical Mechanics (in Japanese)
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In the mean-field BEC regime of the imperfect Bose gas, zero-mode covariance defines a mean-field BEC ideal in the resolvent algebra, with occupation-number and Brownian-loop formulations recovering consistent density, excess, and ODLRO data while separating finite-density BEC from Buchholz's strict
The paper establishes the equivalence between direct integral decompositions of finite-temperature BEC states in the resolvent algebra and ergodic decompositions of associated probability measures in the functional integral approach for the free Bose gas.
No-go theorem for quasiparticle BEC in the spin-boson model is stated, with the observation that the model does not follow the referenced no-go criterion from arxiv:1207.4621.
The paper is a set of notes on the van Hove model that covers cutoff removal, existence of ground and KMS states for a point source, and Bose-Einstein condensation in infinite volume, but states it contains no essentially new results.
citing papers explorer
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No-Go Theorem for Quasiparticle BEC
Bose-Einstein condensation of quasiparticles is excluded in the van Hove model because time cluster properties on beta-KMS states preclude it and nonlinear dispersion with s greater than 2 reduces the observable algebra via infrared divergences.
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Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra
In the mean-field BEC regime of the imperfect Bose gas, zero-mode covariance defines a mean-field BEC ideal in the resolvent algebra, with occupation-number and Brownian-loop formulations recovering consistent density, excess, and ODLRO data while separating finite-density BEC from Buchholz's strict
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A Note on the Resolvent Algebra and Functional Integral Approach to the Free Bose Einstein Condensation
The paper establishes the equivalence between direct integral decompositions of finite-temperature BEC states in the resolvent algebra and ergodic decompositions of associated probability measures in the functional integral approach for the free Bose gas.
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No-Go Theorem for Quasiparticle BEC in the Spin-Boson Model
No-go theorem for quasiparticle BEC in the spin-boson model is stated, with the observation that the model does not follow the referenced no-go criterion from arxiv:1207.4621.
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A Note on the Resolvent Algebra and Functional Integral Approach to the van Hove Model
The paper is a set of notes on the van Hove model that covers cutoff removal, existence of ground and KMS states for a point source, and Bose-Einstein condensation in infinite volume, but states it contains no essentially new results.
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