A characterization of Gibbs states of lattice boson systems

DOI10.1007/BF02186287zbMath0828.60091MaRDI QIDQ1897064

Hyun Jae Yoo, Yong Moon Park

Publication date: 12 December 1995

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Gibbs measuresGibbs statesconditional reduced density matrixsuperstable interactionWiener integral formalismlattice boson systems

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (15)

Euclidean Gibbs measures on loop lattices: existence and a priori estimates. ⋮ Existence and a priori estimates for Euclidean Gibbs states ⋮ Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states ⋮ Stochastic dynamics for an infinite system of random closed strings: A Gibbsian point of view ⋮ Small mass implies uniqueness of Gibbs states of a quantum crystal ⋮ A phase transition in a quenched amorphous ferromagnet ⋮ Thermalization and pseudolocality in extended quantum systems ⋮ GLAUBER DYNAMICS FOR QUANTUM LATTICE SYSTEMS ⋮ EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Dobrushin's compactness criterion for Euclidean Gibbs measures ⋮ Stochastically positive structures on Weyl algebras. The case of quasi-free states ⋮ Gibbs state uniqueness for an anharmonic quantum crystal with a non-polynomial double-well potential ⋮ Uniqueness and clustering properties of Gibbs states for classical and quantum unbounded spin systems. ⋮ Gentle perturbations of the free Bose gas. I.

Cites Work

• First order phase transitions in unbounded spin systems. I: Construction of the phase diagram
• Characterization of states of infinite boson systems. I: On the construction of states of boson systems
• Characterization of states of infinite boson systems. II: On the existence of the conditional reduced density matrix
• The cluster expansion for classical and quantum lattice systems
• Quantum statistical mechanics for superstable interactions: Bose-Einstein statistics
• Gibbs measures and phase transitions
• Homogeneous random fields and statistical mechanics
• Coulomb system equivalent to the energy spectrum of the Calogero-Sutherland-Moser (CSM) model
• Point processes and the position distribution of infinite boson systems
• Superstable interactions in classical statistical mechanics
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