Topic
Correlation function
About: Correlation function is a research topic. Over the lifetime, 4925 publications have been published within this topic receiving 121772 citations.
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Papers
TL;DR: The stochastic approach is further developed to produce a method of calculating an arbitrary anomalously large correlation function of the scalar field in the de Sitter background, and expressions for the two-point correlation function in the equilibrium state, correlation time, and spatial physical correlation radius are presented.
Abstract: The behavior of a weakly self-interacting scalar field with a small mass in the de Sitter background is investigated using the stochastic approach (including the case of a double-well interaction potential). The existence of the de Sitter-invariant equilibrium quantum state of the scalar field in the presence of the interaction is shown for any sign of the mass term. The stochastic approach is further developed to produce a method of calculating an arbitrary anomalously large correlation function of the scalar field in the de Sitter background, and expressions for the two-point correlation function in the equilibrium state, correlation time, and spatial physical correlation radius are presented. The latter does not depend on time, which implies that the characteristic size of domains with positive and negative values of the scalar field remains the same on average in the equilibrium state in spite of the expansion of the t=const hypersurface of the de Sitter space-time.
972 citations
TL;DR: An approximate method for calculating Kubo-transformed real-time correlation functions involving position-dependent operators, based on path integral (Parrinello-Rahman) molecular dynamics, which gives the exact quantum mechanical correlation function at time zero, exactly satisfies the quantum mechanical detailed balance condition.
Abstract: We propose an approximate method for calculating Kubo-transformed real-time correlation functions involving position-dependent operators, based on path integral (Parrinello-Rahman) molecular dynamics. The method gives the exact quantum mechanical correlation function at time zero, exactly satisfies the quantum mechanical detailed balance condition, and for correlation functions of the form C(Ax)(t) and C(xB)(t) it gives the exact result for a harmonic potential. It also works reasonably well at short times for more general potentials and correlation functions, as we illustrate with some example calculations. The method provides a consistent improvement over purely classical molecular dynamics that is most apparent in the low-temperature regime.
909 citations
TL;DR: A generic theory of gravity near a two-dimensional anti-de Sitter spacetime throat is rewritten as a novel hydrodynamics coupled to the correlation functions of a conformal quantum mechanics to find that the dual is maximally chaotic.
Abstract: We revisit two-dimensional holography with the Sachdev-Ye-Kitaev models in mind. Our main result is to rewrite a generic theory of gravity near a two-dimensional anti-de Sitter spacetime throat as a novel hydrodynamics coupled to the correlation functions of a conformal quantum mechanics. This gives a prescription for the computation of n-point functions in the dual quantum mechanics. We thereby find that the dual is maximally chaotic.
885 citations
TL;DR: In this paper, the authors considered the time evolution of observables in the transverse-field Ising chain after a sudden quench of the magnetic field and provided exact analytical results for the asymptotic time and distance dependence of one-and two-point correlation functions of the order parameter.
Abstract: We consider the time evolution of observables in the transverse-field Ising chain after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one- and two-point correlation functions of the order parameter. We employ two complementary approaches based on asymptotic evaluations of determinants and form-factor sums. We prove that the stationary value of the two-point correlation function is not thermal, but can be described by a generalized Gibbs ensemble (GGE). The approach to the stationary state can also be understood in terms of a GGE. We present a conjecture on how these results generalize to particular quenches in other integrable models.
855 citations
1 Jan 1987
770 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 118 |
| 2020 | 134 |
| 2019 | 123 |
| 2018 | 112 |
| 2017 | 109 |
| 2016 | 129 |