arXiv:1207.3496 · AIP conference proceedings

Regular and chaotic classical dynamics in the U(5)-SU(3) quantum phase transition of the IBM

Michal Macek, A. Leviatan

Published Jan 1, 2012• 0 citations

Abstract

We study the classical dynamics in a generic first-order quantum phase transition between the U(5) and SU(3) limits of the interacting boson model. The dynamics is chaotic, of Hénon-Heiles type, in the spherical phase and is regular, yet sensitive to local degeneracies, in the deformed phase. Both types of dynamics persist in the coexistence region resulting in a divided phase space.

DOI: 10.1063/1.4759429

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arXiv:1207.3496 · AIP conference proceedings

Regular and chaotic classical dynamics in the U(5)-SU(3) quantum phase transition of the IBM

Michal Macek, A. Leviatan

Published Jan 1, 2012• 0 citations

arXiv HTML PDF

Abstract

DOI: 10.1063/1.4759429

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nucl-thCross-listedarXiv:2609.00349Sep 2, 20260 citations

Symmetry-Reduced Variational Quantum Simulation of the

U(5)\rightarrow SU(3)

Quantum Phase Transition in the Interacting Boson Model

The spherical-to-deformed quantum phase transition of the Interacting Boson Model (IBM) is investigated using the variational quantum eigensolver (VQE). The

U(5)

SU(3)

transitional Hamiltonian is studied with

χ=-\sqrt{7}/2

. We develop a symmetry-preserving, minimum-qubit VQE framework for collective nuclear models, achieving a substantial reduction in qubit requirements without compromising the finite-size quantum-phase-transition physics. The transition is characterized through the normalized

d

-boson occupation and ground-state energy derivatives. Finite-size results are found to approach the analytic critical point

ξ_c=8/17\simeq0.470588

, with an independent order-parameter extrapolation yielding

ξ_\infty=0.46986(61)

. The VQE reproduces ground-state energies and structural observables to numerical precision. These results demonstrate the potential of symmetry-reduced VQE for efficient quantum simulations of collective nuclear dynamics and quantum phase transitions.