Quantum number projection at finite temperature via thermofield dynamics

Abstract

Applying the thermo field dynamics, we reformulate exact quantum number projection in the finite-temperature Hartree-Fock-Bogoliubov theory. Explicit formulae are derived for the simultaneous projection of particle number and angular momentum, in parallel to the zero-temperature case. We also propose a practical method for the variation-after-projection calculation, by approximating entropy without conflict with the Peierls inequality. The quantum number projection in the finite-temperature mean-field theory will be useful to study effects of quantum fluctuations associated with the conservation laws on thermal properties of nuclei.

27 pages, using revtex4, to be published in PRC

References in corpus (4)

• Monte Carlo evaluation of path integrals for the nuclear shell model
• Total and Parity-Projected Level Densities of Iron-Region Nuclei in the Auxiliary Fields Monte Carlo Shell Model
• Critical temperature for quenching of pair correlations
• Signature of a Pairing Transition in the Heat Capacity of Finite Nuclei

Cited by in corpus (18)

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• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
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• Wave function methods for canonical ensemble thermal averages in correlated many-fermion systems
• New Bardeen-Cooper-Schrieffer-type theory at finite temperature with particle-number conservation
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• On the TFD treatment of collective vibrations in hot nuclei
• Calculations of canonical averages from the grand canonical ensemble
• Thermodynamic properties of hot nuclei within the self-consistent quasiparticle random-phase approximation
• Particle-number projection in the finite-temperature mean-field approximation
• Thermodynamics of small superconductors with fixed particle number
• Confirming the role of nuclear tunnelling in aqueous ferrous-ferric electron transfer
• Symmetry-projected variational calculations with the numerical suite TAURUS II. Configuration mixing of symmetry-projected reference states
• Projection after variation in the finite-temperature Hartree-Fock-Bogoliubov approximation
• No-cloning theorem in thermofield dynamics
• Mean-field approximation on steroids: exact description of the deuteron
• Excitations of Quantum Many-Body Systems via Purified Ensembles: A Unitary-Coupled-Cluster-based Approach