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Using random matrices, we study the reduced dynamics of a two level system interacting with a generic environment. In the weak coupling limit, the result can be obtained directly from known results for purity decay, and result in Markovian…

量子物理 · 物理学 2016-02-01 Nephtalí Garrido , Thomas Gorin , Carlos Pineda

We show that an appropriately defined fluctuation-dissipation theorem, connecting generalized susceptibilities and time correlation functions, is valid for times shorter than the nucleation time of the metastable state of Markovian systems…

统计力学 · 物理学 2009-11-10 G. Baez , H. Larralde , F. Leyvraz , R. A. Mendez-Sanchez

We investigate the two-points correlation function for several boundary-driven interacting particle systems. Our goal is to show that the time evolution of that correlation function is solution to a partial differential equation that can be…

概率论 · 数学 2024-10-24 P. Gonçalves , B. Salvador

A formally exact set of equations is derived for the description of nonequilibrium phenomena in classical liquids and glasses. With the help of a non equilibrium projection operator formalism, the correlation functions and fluctuation…

无序系统与神经网络 · 物理学 2009-10-31 A. Latz

The presence of pairing correlations within the time-dependent density functional theory (TDDFT) extension to superfluid systems, is tantamount to the presence of a quantum collision integral in the evolution equations, which leads to an…

核理论 · 物理学 2024-06-24 Aurel Bulgac , Matthew Kafker , Ibrahim Abdurrahman , Ionel Stetcu

Simulation methods based on stochastic realizations of state vector evolutions are commonly used tools to solve open quantum system dynamics, both in the Markovian and non-Markovian regime. Here, we address the question of waiting time…

量子物理 · 物理学 2012-09-10 Kimmo Luoma , Kari Härkönen , Sabrina Maniscalco , Kalle-Antti Suominen , Jyrki Piilo

Every year, substantial theoretical and experimental progress is made towards the realisation of a genuinely new computational paradigm in the construction of a quantum computer. But progress is fractal; to make headway is to unearth the…

量子物理 · 物理学 2024-05-10 Gregory A. L. White

Recovering properties of correlation functions is typically challenging. On one hand, experimentally, it requires measurements with a temporal resolution finer than the system's dynamics. On the other hand, analytical or numerical analysis…

量子物理 · 物理学 2025-07-14 Wojciech Górecki , Simone Felicetti , Lorenzo Maccone , Roberto Di Candia

We extend the Keldysh technique to enable the computation of out-of-time order correlators. We show that the behavior of these correlators is described by equations that display initially an exponential instability which is followed by a…

统计力学 · 物理学 2016-12-21 Igor L. Aleiner , Lara Faoro , Lev B. Ioffe

We assess non-Markovianity of a quantum open-system dynamics through the violation of temporal bell-like inequalities in a controllable Nuclear Magnetic Resonance system. We investigate experimentally the connections between the violation…

The response of physical systems to external perturbations can be used to probe both their equilibrium and non-equilibrium dynamics. While response and correlation functions are related in equilibrium by fluctuation-dissipation theorems,…

统计力学 · 物理学 2014-04-24 Matteo Marcuzzi , Andrea Gambassi

The fluctuation-dissipation theorem (FDT) is a central result in statistical physics, both for classical and quantum systems. It establishes a relationship between the linear response of a system under a time-dependent perturbation and time…

量子物理 · 物理学 2018-05-28 Mohammad Mehboudi , Anna Sanpera , Juan M. R. Parrondo

Non-equilibrium Green's Function (NGF) method is a powerful tool for studying the evolution of quantum many-body systems. Different types of correlations can be systematically incorporated within the formalism. The time evolution of the…

核理论 · 物理学 2018-01-17 M. H. Mahzoon , P. Danielewicz , A. Rios

This paper investigates a new formalism to describe real time evolution of quantum systems at finite temperature. A time correlation function among subsystems will be derived which allows for a probabilistic interpretation. Our derivation…

高能物理 - 理论 · 物理学 2009-10-31 E. Mendel , M. Nest

We study the dynamics of a macroscopic superconducting qubit coupled to two independent non-stationary reservoirs by using time-dependent perturbation theory. We show that an equilibrium environment surpasses the coherent evolution of the…

量子物理 · 物理学 2018-12-13 Nasim Shahmansoori , Farhad Taher Ghahramani , Afshin Shafiee

By employing the full counting statistics formalism, we characterize the first moment of energy that is exchanged during a generally non-Markovian evolution in non-driven continuous variables systems. In particular, we focus on the…

Recently, a large class of quantum non-Markovian piecewise dynamics for an open quantum system obeying closed evolution equations has been introduced [B. Vacchini, Phys. Rev. Lett. 117, 230401 (2016)]. These dynamics have been defined in…

量子物理 · 物理学 2018-01-17 Salvatore Lorenzo , Francesco Ciccarello , G. Massimo Palma , Bassano Vacchini

A general approach for derivation of the spectral relations for the multitime correlation functions is presented. A special attention is paid to the consideration of the non-ergodic (conserving) contributions and it is shown that such…

统计力学 · 物理学 2014-02-17 A. M. Shvaika

Memory effects can be studied through a conditional past-future correlation, which measures departure with respect to a conditional past-future independence valid in a memoryless Markovian regime. In a quantum regime this property leads to…

量子物理 · 物理学 2019-06-05 Adrian A. Budini

Neural diffusion processes provide a scalable, non-Gaussian approach to modelling distributions over functions, but existing formulations are limited to single-task inference and do not capture dependencies across related tasks. In many…

机器学习 · 计算机科学 2026-01-19 Joseph Rawson , Domniki Ladopoulou , Petros Dellaportas