Energy dependence of the entanglement entropy of composite boson (quasiboson) systems

Abstract

Bipartite composite boson (quasiboson) systems, which admit realization in terms of deformed oscillators, were considered in our previous paper from the viewpoint of entanglement characteristics. These characteristics, including entanglement entropy and purity, were expressed through the relevant deformation parameter for different quasibosonic states. On the other hand, it is of interest to present the entanglement entropy and likewise the purity as function of energy for those states. In this work, the corresponding dependencies are found for different states of composite bosons realized by deformed oscillators and, for comparison, also for the hydrogen atom viewed as composite boson. The obtained results are expressed graphically and their implications discussed.

arXiv comment10 pages, 14 figures; v2: introduction, conclusions rewritten, one section (on purity VS energy) and a number of refs. added; v3: minor changes in order to match journal version. Accepted in J. Phys. A

References in corpus (18)

• Quantum entanglement
• Essential entanglement for atomic and molecular physics
• Enhancing quantum entanglement by photon addition and subtraction
• Quantum entanglement as an interpretation of bosonic character in composite two-particle systems
• Entanglement in composite bosons realized by deformed oscillators
• Entanglement and Composite Bosons
• Entanglement, purity and energy: Two qubits vs Two modes
• Quasibosons composed of two q-fermions: realization by deformed oscillators
• Entanglement versus energy in the entanglement transfer problem
• Mapping of composite hadrons into elementary hadrons and effective hadronic Hamiltonians
• The Relationship Between Entanglement, Energy, and Level Degeneracy in Two-Electrons Systems
• Criteria for two distinguishable fermions to behave like a boson
• Particle addition and subtraction as a test of bosonic quality
• Quasibosons
• Plethora of q-oscillators possessing pairwise energy level degeneracy
• Entanglement versus energy in quantum spin models
• Entanglement Creation in Low-Energy Scattering
• Vacuum entanglement governs the bosonic character of magnons

Cited by in corpus (14)

• Correlation function intercepts for $\tilde{\mu },q$-deformed Bose gas model implying effective accounting for interaction and compositeness of particles
• How bosonic is a pair of fermions?
• Quantum information approach to Bose-Einstein condensation of composite bosons
• Two-boson composites
• Coherent states of composite bosons
• Influence of the Pauli exclusion principle on scattering properties of cobosons
• Statistical signatures of states orthogonal to the Fock-state ladder of composite bosons
• Phases of the Bose-Einstein condensate dark matter model with both two- and three-particle interactions
• New version of pseudo-hermiticity in the two-sided deformation of Heisenberg algebra
• Composite Fermions as Deformed Oscillators: Wavefunctions and Entanglement
• On dynamical stability of composite quantum particles: when entanglement is enough and when interaction is needed
• Nonlocal bunching of composite bosons
• The $\mu$-deformed Einstein field equations with $\mu$-dependent effective cosmological constant
• Pseudo-Hermitian position and momentum operators, Hermitian Hamiltonian, and deformed oscillators