Quantum fluctuations induce collective multiphonons in finite Fermi liquids

Abstract

We show that collective multiphonon states in atomic nuclei emerge at high excitation energies when quantum fluctuations in the collective space are included beyond the independent-particle approximation. The quadrupole response of a nucleus is studied using an extension of the nuclear time-dependent density-functional theory that mixes several many-body trajectories. While a single trajectory can account for the excitation of the first collective quantum, the second and the third quanta emerge due to the interference between trajectories. The collective spectrum, found as nearly harmonic, is in excellent agreement with the experimentally observed three quanta of the isoscalar giant quadrupole resonance in ${}^{40}$Ca. This study offers guidance for multiphonon searches in other self-bound systems and demonstrates the resistance to internal excitation of finite Fermi liquids.

7 pages, 4 figures

References in corpus (3)

• The time-dependent generator coordinate method in nuclear physics
• Microscopic description of pair transfer between two superfluid systems (II): a quantum mixing of Time-Dependent Hartree-Fock Bogolyubov trajectories
• Microscopic calculations of double and triple Giant Resonance excitation in heavy ion collisions

Cited by in corpus (5)

• Generalized time-dependent generator coordinate method for induced fission dynamics
• Generation, dynamics, and correlations of the fission fragments' angular momenta
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Multiconfigurational time-dependent density functional theory for atomic nuclei: Technical and numerical aspects
• A critical assessment of the current implementations of the Generator Coordinate Method