Dynamical implications of correlations

Liquid and gas are distinct in their extent of dynamic atomic correlations; in gas atoms are almost uncorrelated whereas they are strongly correlated in liquid. This distinction applies also to electronic systems. Fermi liquids are actually gas-like, whereas strongly correlated electrons are liquid-like. Doped Mott insulators share characteristics with supercooled liquids. Such distinctions have important implications on superconductivity. We discuss the evolution of dynamic atomic correlations in liquid with temperature, and a possible effect of dynamic correlations on the high-temperature superconductivity in the cuprates.Liquid and gas are distinct in their extent of dynamic atomic correlations; in gas atoms are almost uncorrelated whereas they are strongly correlated in liquid. This distinction applies also to electronic systems. Fermi liquids are actually gas-like, whereas strongly correlated electrons are liquid-like. Doped Mott insulators share characteristics with supercooled liquids. Such distinctions have important implications on superconductivity. We discuss the evolution of dynamic atomic correlations in liquid with temperature, and a possible effect of dynamic correlations on the high-temperature superconductivity in the cuprates.

Condensed MatterFeb 3, 20241 citation

Dynamical correlations

U. Balucani, M. Howard Lee, V. Tognetti

Physics ReportsDec 28, 2002133 citations

Dynamical spin correlations in the Heisenberg ladder under a magnetic field and correlation functions in the SO(5) ladder

Akira Furusaki, Shoucheng Zhang

The zero-temperature dynamical spin-spin correlation functions are calculated for the spin- $\frac{1}{2}$ two-leg antiferromagnetic Heisenberg ladder in a magnetic field above the lower critical field ${H}_{c1}$ . The dynamical structure factors are calculated, which exhibit both massless modes and massive excitations. These modes appear in different sectors characterized by the parity in the rung direction and by the momentum in the direction of the chains. The structure factors have power-law singularities at the lower edges of their support. The results are also applicable to the spin-1 Heisenberg chain. The implications are briefly discussed for the various correlation functions and the $\ensuremath{\pi}$ resonance in the SO(5) symmetric ladder model.The zero-temperature dynamical spin-spin correlation functions are calculated for the spin-$\frac{1}{2}$ two-leg antiferromagnetic Heisenberg ladder in a magnetic field above the lower critical field ${H}_{c1}$. The dynamical structure factors are calculated, which exhibit both massless modes and massive excitations. These modes appear in different sectors characterized by the parity in the rung direction and by the momentum in the direction of the chains. The structure factors have power-law singularities at the lower edges of their support. The results are also applicable to the spin-1 Heisenberg chain. The implications are briefly discussed for the various correlation functions and the $\ensuremath{\pi}$ resonance in the SO(5) symmetric ladder model.

arXiv:cond-mat/9807375Physical review. B, Condensed matterJul 1, 199961 citations

Correlations and Their Dynamics

M. Bönitz

Springer eBooksNov 17, 20150 citations

A theorem in dynamics of correlations

Françoise Hénin

PhysicaSep 1, 197119 citations

Title: Temporal Correlation in Wavefunction Collapse Analysis

Jincheng Zhang

Temporal correlation in wavefunction collapse analysis is a critical challenge in quantum mechanics. Current approaches often lack a robust theoretical foundation, hindering our ability to fully comprehend the system's behavior. This paper proposes a novel analytical framework, leveraging a Bayesian approach and incorporating the concept of temporal correlation, to provide a deeper understanding of this evolution. We investigate how the rate of change of a system's state, intrinsically linked to temporal correlation, dictates the collapse process. The core mechanism centers on modeling collapse as a dynamic process influenced by the interplay of probability and temporal dynamics. This research explores the implications of this temporal correlation on the system's evolution and offers a pathway toward a more complete theoretical model.Temporal correlation in wavefunction collapse analysis is a critical challenge in quantum mechanics. Current approaches often lack a robust theoretical foundation, hindering our ability to fully comprehend the system's behavior. This paper proposes a novel analytical framework, leveraging a Bayesian approach and incorporating the concept of temporal correlation, to provide a deeper understanding of this evolution. We investigate how the rate of change of a system's state, intrinsically linked to temporal correlation, dictates the collapse process. The core mechanism centers on modeling collapse as a dynamic process influenced by the interplay of probability and temporal dynamics. This research explores the implications of this temporal correlation on the system's evolution and offers a pathway toward a more complete theoretical model.

Aug 29, 20260 citations

The zero-temperature dynamical spin-spin correlation functions are calculated for the spin-

\frac{1}{2}

two-leg antiferromagnetic Heisenberg ladder in a magnetic field above the lower critical field

{H}_{c1}

. The dynamical structure factors are calculated, which exhibit both massless modes and massive excitations. These modes appear in different sectors characterized by the parity in the rung direction and by the momentum in the direction of the chains. The structure factors have power-law singularities at the lower edges of their support. The results are also applicable to the spin-1 Heisenberg chain. The implications are briefly discussed for the various correlation functions and the $\ensuremath{\pi}$ resonance in the SO(5) symmetric ladder model.