Ground states of integrable quantum liquids

Abstract

Based on a recently introduced operator algebra for the description of a class of integrable quantum liquids we define the ground states for all canonical ensembles of these systems. We consider the particular case of the Hubbard chain in a magnetic field and chemical potential. The ground states of all canonical ensembles of the model can be generated by acting onto the electron vacuum (densities $n<1$) or hole vacuum (densities $n>1$), suitable pseudoparticle creation operators. We also evaluate the energy gaps of the non-lowest-weight states (non - LWS's) and non-highest-weight states (non - HWS's) of the eta-spin and spin algebras relative to the corresponding ground states. For all sectors of parameter space and symmetries the {\it exact ground state} of the many-electron problem is in the pseudoparticle basis the non-interacting pseudoparticle ground state. This plays a central role in the pseudoparticle perturbation theory.

RevteX 3.0, 43 pages, preprint Univ.Evora, Portugal

References in corpus (6)

• Scattering Matrix and Excitation Spectrum of the Hubbard Model
• New perturbation theory of low-dimensional quantum liquids II: operator description of Virasoro algebras in integrable systems
• Dynamical decoupling and Kac-Moody current representation in multicomponent integrable systems
• Conservation laws and bosonization in integrable Luttinger liquids
• New perturbation theory of low-dimensional quantum liquids I: the pseudoparticle operator basis
• Pseudoparticle-operator description of an interacting Bose gas

Cited by in corpus (4)

• Complete Pseudohole and Heavy-Pseudoparticle Operator Representation for the Hubbard Chain
• Topological ground-state excitations and symmetry in the many-electron one-dimensional problem
• Electrons, pseudoparticles, and quasiparticles in the one-dimensional many-electron problem
• Magnetic-field and chemical-potential effects on the low-energy separation