Entanglement entropy, single-particle occupation probabilities, and short-range correlations

Abstract

For quantum many-body systems with short-range correlations (SRCs), the intimate relationship between their magnitude, the behavior of the single-particle occupation probabilities at momenta larger than the Fermi momentum, and the entanglement entropy is a new qualitative aspect not studied and exploited yet. A large body of recent condensed matter studies indicate that the time evolution of the entanglement entropy describes the non-equilibrium dynamics of isolated and strongly interacting many-body systems, in a manner similar to the Boltzmann entropy, which is strictly defined for dilute and weakly interacting many-body systems. Both theoretical and experimental studies in nuclei and cold atomic gases have shown that the fermion momentum distribution has a generic behavior $n(k)=C/k^4$ at momenta larger than the Fermi momentum, due to the presence of SRCs, with approximately 20\% of the particles having momenta larger than the Fermi momentum. The presence of the long momentum tails in the presence of SRCs changes the textbook relation between the single-particle kinetic energy and occupation probabilities, $n_{\text{mf}}(k)=1/\{1+\exp \beta [\epsilon (k)-\mu ]\}$ for momenta very different form the Fermi momentum, particularly for dynamics processes. SRCs induced high-momentum tails of the single-particle occupation probabilities increase the entanglement entropy of fermionic systems, which in its turn affects the dynamics of many nuclear reactions, such as heavy-ion collisions and nuclear fission.

8 pages, 5 figures, updated figures, tex, material and references in agreement with published version

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Cited by in corpus (20)

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• Quantum Simulations in Effective Model Spaces (I): Hamiltonian Learning-VQE using Digital Quantum Computers and Application to the Lipkin-Meshkov-Glick Model
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• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Toward experimental determination of spin entanglement of nucleon pairs
• Neck Rupture and Scission Neutrons in Nuclear Fission
• Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
• Spatial orientation of the fission fragment intrinsic spins and their correlations
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Entanglement in multinucleon transfer reactions
• Uncovering the mechanism of chiral three-nucleon force in driving spin-orbit splitting
• Thermal fading of the $1/k^4$-tail of the momentum distribution induced by the hole anomaly
• Quantum turbulence, superfluidity, non-Markovian dynamics, and wave function thermalization
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Examining the justification for the introduction of a fermion localization function
• Entanglement of bosonic systems under monitored evolution
• A Scaling Function for the Particle Entanglement Entropy of Fermions
• A critical assessment of the current implementations of the Generator Coordinate Method