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.

arXiv comment8 pages, 5 figures, updated figures, tex, material and references in agreement with published version

References in corpus (66)

• Quantum entanglement
• Area laws for the entanglement entropy - a review
• Entanglement in quantum critical phenomena
• Topological entanglement entropy
• Detecting topological order in a ground state wave function
• Entropy and Area
• Many-body localization, thermalization, and entanglement
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• The many-body localization phase transition
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Time-dependence of correlation functions following a quantum quench
• Unbounded growth of entanglement in models of many-body localization
• Large momentum part of fermions with large scattering length
• Energetics of a strongly correlated Fermi gas
• Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
• Entanglement and thermodynamics after a quantum quench in integrable systems
• Universality of Entropy Scaling in 1D Gap-less Models
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Nucleon-Nucleon Correlations, Short-lived Excitations, and the Quarks Within
• Momentum sharing in imbalanced Fermi systems
• Realistic Model of the Nucleon Spectral Function in Few- and Many- Nucleon Systems
• Evidence for the Strong Dominance of Proton-Neutron Correlations in Nuclei
• Verification of universal relations in a strongly interacting Fermi gas
• Tensor Forces and the Ground-State Structure of Nuclei
• Induced Fission of ${}^{240}$Pu within a Real-Time Microscopic Framework
• Quantum Monte Carlo Studies of Superfluid Fermi Gases
• Hard probes of short-range nucleon-nucleon correlations
• Quenching of single-particle strength from direct reactions with stable and rare-isotope beams
• Orbital entanglement in quantum chemistry
• Fission Dynamics of 240Pu from Saddle-to-Scission and Beyond
• Density and isospin asymmetry dependence of high-momentum components
• Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations
• Collective oscillations of a trapped Fermi gas near the unitary limit
• Exclusive Electro-Disintegration of 3He at high Q2: II. Decay Function Formalism
• Time-Dependent Density Functional Theory and the Real-Time Dynamics of Fermi Superfluids
• Quantum dynamics in the bosonic Josephson junction
• Generation and Dynamics of Quantized Vortices in a Unitary Fermi Superfluid
• Pressure, compressibility, and contact of the two-dimensional attractive Fermi gas
• Momentum Distribution and Contact of the Unitary Fermi gas
• New Properties of High Momentum Distribution of Nucleons in Asymmetric Nuclei
• Nuclear Fission Dynamics: Past, Present, Needs, and Future
• Progress in understanding short-range structure in nuclei: an experimental perspective
• Large Amplitude Dynamics of the Pairing Correlations in a Unitary Fermi Gas
• Thermalization of Gauge Theories from their Entanglement Spectrum
• Short-range correlation physics at low RG resolution
• Chaos and quantum scars in Bose-Josephson junction coupled to a bosonic mode
• Measures of complexity and entanglement in fermionic many-body systems
• Entanglement and superposition are equivalent concepts in any physical theory
• Time-Dependent Density Functional Theory for Fermionic Superfluids: from Cold Atomic Gases, to Nuclei and Neutron Stars Crust
• The Unitary Gas and its Symmetry Properties
• Entanglement between particle partitions in itinerant many-particle states
• The Entanglement Entropy between Short Range Correlations and the Fermi Sea in Nuclear Structure
• Emergence of a pseudogap in the BCS-BEC crossover
• Dynamics of Fragmented Condensates and Macroscopic Entanglement
• Nucleon momentum distributions in asymmetric nuclear matter
• Hilbert-space localization in closed quantum systems
• Momentum distributions and spectroscopic factors of doubly-closed shell nuclei in correlated basis function theory
• Momentum-resolved spectroscopy of a Fermi liquid
• Finite-size effects in a bosonic Josephson junction
• Pairing dynamics and solitonic excitations in collisions of medium-mass, identical nuclei
• Pure quantum extension of the semiclassical Boltzmann-Uehling-Uhlenbeck equation
• Measuring post-quench entanglement entropy through density correlations
• Tan's contact and the phase distribution of repulsive Fermi gases: Insights from QCD noise analyses
• The quasi-deuteron model at low RG resolution
• New developments in fission studies within the time-dependent density functional theory framework
• Entanglement transition through Hilbert-space localization

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